Year 4: Dividing by 10 and 100
Part of the Year 4 tenths, hundredths and money chapter. Chapter overview · whole chapter on one page · Download worksheet (PDF) · Answers (PDF)
Dividing by 10 and 100
When you divide by 10, the number gets 10 times smaller. Every digit moves one column to the right. When you divide by 100, every digit moves two columns to the right. The digits are the ones that move. The decimal point stays where it is.
Dividing by 100. Move the digits two columns.
Fill the gaps with zeros. 7 ÷ 10 = 0.7 and 7 ÷ 100 = 0.07. In 0.07 there are 0 ones and 0 tenths, so both columns need a 0.
Tidying up. 40 ÷ 10 = 4.0, and 4.0 is just 4. And 30 ÷ 100 = 0.30, which is 0.3. The last 0 is not needed.
Why? Dividing by 100 is the same as dividing by 10 twice. 53 ÷ 10 = 5.3 and then 5.3 ÷ 10 = 0.53. The opposite is multiplying: 0.53 × 100 = 53. The digits move left.
Measures. There are 100 cm in 1 m. To change cm to m, divide by 100: 250 cm ÷ 100 = 2.5 m. There are 10 mm in 1 cm, so to change mm to cm, divide by 10: 36 mm ÷ 10 = 3.6 cm. Money. There are 100p in £1, so 450p ÷ 100 = £4.50.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move to the right.
Key ideas
- ÷ 10: every digit moves 1 column to the right.
- ÷ 100: every digit moves 2 columns to the right.
- Put a 0 in any empty column: 7 ÷ 100 = 0.07.
- Dividing by 100 is the same as dividing by 10 twice.
- The opposite of dividing is multiplying: the digits move left.
- cm ÷ 100 = m, mm ÷ 10 = cm, p ÷ 100 = £.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.6 ÷ 10 = 0.6
Check. Go the other way: 0.6 × 10 = 6. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Write the answer. Put the decimal point after the ones.48 ÷ 10 = 4.8
Check. Go the other way: 4.8 × 10 = 48. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.48 ÷ 100 = 0.48
Check. Go the other way: 0.48 × 100 = 48. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.7 ÷ 100 = 0.07
Check. Go the other way: 0.07 × 100 = 7. ✓
Watch out. The digits move, not the decimal point. And 5 ÷ 100 is 0.05: you need a 0 in the tenths column as well as the ones column.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones. The last 0 is not needed: 4.0 is the same as 4, and 0.30 is the same as 0.3.30 ÷ 100 = 0.3
Check. Go the other way: 0.3 × 100 = 30. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Use the opposite operation. The opposite of dividing is multiplying.
- Think about the opposite operation. The opposite of dividing by 10 is multiplying by 10.? = 3.6 × 10
- Move every digit 1 column to the left. Multiplying makes each digit bigger, so the digits move left.3.6 × 10 = 36
- Write the answer. 36 ÷ 10 = 3.6
Check. Check: 36 ÷ 10 = 3.6. ✓
Watch out. Dividing moves digits right. To undo it, move them left.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Count how many columns the digits moved to the right. One column is ÷ 10 and two columns is ÷ 100.
- Compare the two numbers. 52 became 0.52.52 → 0.52
- Count how many columns the digits moved. Each digit moved to the right.The digits moved 2 columns to the right.
- Decide what we divided by. 1 column means ÷ 10. 2 columns means ÷ 100.100
Check. Check: 52 ÷ 100 = 0.52. ✓
Watch out. Compare where the digits are, not how long the number looks.
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 100 cm in 1 m. Divide by 100 to change cm into m.
- Find how many of the small unit make one of the big unit. We need this to change units.1 m = 100 cm
- Choose the operation. We are changing cm into m. A m is bigger, so we need fewer of them: divide by 100.340 ÷ 100
- Move the digits 2 columns to the right. Dividing by 100 makes each digit 100 times smaller.340 ÷ 100 = 3.4
- Write the answer with the unit. 340 cm = 3.4 m
Check. Go back: 3.4 × 100 = 340. ✓
Watch out. Fewer m than cm: the number should get smaller. If it does not, you used the wrong operation.
Watch out
The digits move. You do not just add a point. 7 ÷ 100 is 0.07, not 0.7 and not 7.00. Also, dividing makes the number SMALLER, so the digits must move to the right. If the answer is bigger than what you started with, something has gone wrong.Exercise 6D Dividing by 10 and 100
Non-calculatorKey words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.3 ÷ 10 = 0.3
Check. Go the other way: 0.3 × 10 = 3. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.9 ÷ 10 = 0.9
Check. Go the other way: 0.9 × 10 = 9. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Write the answer. Put the decimal point after the ones. The last 0 is not needed: 4.0 is the same as 4, and 0.30 is the same as 0.3.20 ÷ 10 = 2
Check. Go the other way: 2 × 10 = 20. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Write the answer. Put the decimal point after the ones.45 ÷ 10 = 4.5
Check. Go the other way: 4.5 × 10 = 45. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Write the answer. Put the decimal point after the ones. The last 0 is not needed: 4.0 is the same as 4, and 0.30 is the same as 0.3.70 ÷ 10 = 7
Check. Go the other way: 7 × 10 = 70. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Write the answer. Put the decimal point after the ones.86 ÷ 10 = 8.6
Check. Go the other way: 8.6 × 10 = 86. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.4 ÷ 100 = 0.04
Check. Go the other way: 0.04 × 100 = 4. ✓
Watch out. The digits move, not the decimal point. And 5 ÷ 100 is 0.05: you need a 0 in the tenths column as well as the ones column.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.8 ÷ 100 = 0.08
Check. Go the other way: 0.08 × 100 = 8. ✓
Watch out. The digits move, not the decimal point. And 5 ÷ 100 is 0.05: you need a 0 in the tenths column as well as the ones column.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones. The last 0 is not needed: 4.0 is the same as 4, and 0.30 is the same as 0.3.60 ÷ 100 = 0.6
Check. Go the other way: 0.6 × 100 = 60. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.37 ÷ 100 = 0.37
Check. Go the other way: 0.37 × 100 = 37. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones. The last 0 is not needed: 4.0 is the same as 4, and 0.30 is the same as 0.3.90 ÷ 100 = 0.9
Check. Go the other way: 0.9 × 100 = 90. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.52 ÷ 100 = 0.52
Check. Go the other way: 0.52 × 100 = 52. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.5 ÷ 10 = 0.5
Check. Go the other way: 0.5 × 10 = 5. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Write the answer. Put the decimal point after the ones.34 ÷ 10 = 3.4
Check. Go the other way: 3.4 × 10 = 34. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.7 ÷ 100 = 0.07
Check. Go the other way: 0.07 × 100 = 7. ✓
Watch out. The digits move, not the decimal point. And 5 ÷ 100 is 0.05: you need a 0 in the tenths column as well as the ones column.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.26 ÷ 100 = 0.26
Check. Go the other way: 0.26 × 100 = 26. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Use the opposite operation. The opposite of dividing is multiplying.
- Think about the opposite operation. The opposite of dividing by 10 is multiplying by 10.? = 7 × 10
- Move every digit 1 column to the left. Multiplying makes each digit bigger, so the digits move left.7 × 10 = 70
- Write the answer. 70 ÷ 10 = 7
Check. Check: 70 ÷ 10 = 7. ✓
Watch out. Dividing moves digits right. To undo it, move them left.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Use the opposite operation. The opposite of dividing is multiplying.
- Think about the opposite operation. The opposite of dividing by 100 is multiplying by 100.? = 0.9 × 100
- Move every digit 2 columns to the left. Multiplying makes each digit bigger, so the digits move left.0.9 × 100 = 90
- Write the answer. 90 ÷ 100 = 0.9
Check. Check: 90 ÷ 100 = 0.9. ✓
Watch out. Dividing moves digits right. To undo it, move them left.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Use the opposite operation. The opposite of dividing is multiplying.
- Think about the opposite operation. The opposite of dividing by 10 is multiplying by 10.? = 4.2 × 10
- Move every digit 1 column to the left. Multiplying makes each digit bigger, so the digits move left.4.2 × 10 = 42
- Write the answer. 42 ÷ 10 = 4.2
Check. Check: 42 ÷ 10 = 4.2. ✓
Watch out. Dividing moves digits right. To undo it, move them left.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Use the opposite operation. The opposite of dividing is multiplying.
- Think about the opposite operation. The opposite of dividing by 100 is multiplying by 100.? = 0.35 × 100
- Move every digit 2 columns to the left. Multiplying makes each digit bigger, so the digits move left.0.35 × 100 = 35
- Write the answer. 35 ÷ 100 = 0.35
Check. Check: 35 ÷ 100 = 0.35. ✓
Watch out. Dividing moves digits right. To undo it, move them left.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Count how many columns the digits moved to the right. One column is ÷ 10 and two columns is ÷ 100.
- Compare the two numbers. 8 became 0.8.8 → 0.8
- Count how many columns the digits moved. Each digit moved to the right.The digits moved 1 column to the right.
- Decide what we divided by. 1 column means ÷ 10. 2 columns means ÷ 100.10
Check. Check: 8 ÷ 10 = 0.8. ✓
Watch out. Compare where the digits are, not how long the number looks.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Count how many columns the digits moved to the right. One column is ÷ 10 and two columns is ÷ 100.
- Compare the two numbers. 63 became 0.63.63 → 0.63
- Count how many columns the digits moved. Each digit moved to the right.The digits moved 2 columns to the right.
- Decide what we divided by. 1 column means ÷ 10. 2 columns means ÷ 100.100
Check. Check: 63 ÷ 100 = 0.63. ✓
Watch out. Compare where the digits are, not how long the number looks.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Count how many columns the digits moved to the right. One column is ÷ 10 and two columns is ÷ 100.
- Compare the two numbers. 95 became 9.5.95 → 9.5
- Count how many columns the digits moved. Each digit moved to the right.The digits moved 1 column to the right.
- Decide what we divided by. 1 column means ÷ 10. 2 columns means ÷ 100.10
Check. Check: 95 ÷ 10 = 9.5. ✓
Watch out. Compare where the digits are, not how long the number looks.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Count how many columns the digits moved to the right. One column is ÷ 10 and two columns is ÷ 100.
- Compare the two numbers. 4 became 0.04.4 → 0.04
- Count how many columns the digits moved. Each digit moved to the right.The digits moved 2 columns to the right.
- Decide what we divided by. 1 column means ÷ 10. 2 columns means ÷ 100.100
Check. Check: 4 ÷ 100 = 0.04. ✓
Watch out. Compare where the digits are, not how long the number looks.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Find the rule: divide by 10 each time. Move the digits one column to the right every step.
- Look at two numbers next to each other. Find what happens each time.600 → 60: the number is divided by 10 (every digit moves 1 column right).
- Keep dividing by 10. Each digit moves one more column to the right each time.600, 60, 6, 0.6, 0.06
- Write the missing numbers. 6, 0.06
Check. Multiply the last number by 10 and see if you get the one before. ✓
Watch out. After 0.7 comes 0.07 (not 0.007 and not 0.70).
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Find the rule: divide by 10 each time. Move the digits one column to the right every step.
- Look at two numbers next to each other. Find what happens each time.90 → 9: the number is divided by 10 (every digit moves 1 column right).
- Keep dividing by 10. Each digit moves one more column to the right each time.90, 9, 0.9, 0.09
- Write the missing numbers. 0.9, 0.09
Check. Multiply the last number by 10 and see if you get the one before. ✓
Watch out. After 0.7 comes 0.07 (not 0.007 and not 0.70).
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Find the rule: divide by 10 each time. Move the digits one column to the right every step.
- Look at two numbers next to each other. Find what happens each time.70 → 7: the number is divided by 10 (every digit moves 1 column right).
- Keep dividing by 10. Each digit moves one more column to the right each time.70, 7, 0.7, 0.07
- Write the missing numbers. 7, 0.07
Check. Multiply the last number by 10 and see if you get the one before. ✓
Watch out. After 0.7 comes 0.07 (not 0.007 and not 0.70).
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 100 cm in 1 m. Divide by 100 to change cm into m.
- Find how many of the small unit make one of the big unit. We need this to change units.1 m = 100 cm
- Choose the operation. We are changing cm into m. A m is bigger, so we need fewer of them: divide by 100.300 ÷ 100
- Move the digits 2 columns to the right. Dividing by 100 makes each digit 100 times smaller.300 ÷ 100 = 3
- Write the answer with the unit. 300 cm = 3 m
Check. Go back: 3 × 100 = 300. ✓
Watch out. Fewer m than cm: the number should get smaller. If it does not, you used the wrong operation.
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 100 cm in 1 m. Divide by 100 to change cm into m.
- Find how many of the small unit make one of the big unit. We need this to change units.1 m = 100 cm
- Choose the operation. We are changing cm into m. A m is bigger, so we need fewer of them: divide by 100.450 ÷ 100
- Move the digits 2 columns to the right. Dividing by 100 makes each digit 100 times smaller.450 ÷ 100 = 4.5
- Write the answer with the unit. 450 cm = 4.5 m
Check. Go back: 4.5 × 100 = 450. ✓
Watch out. Fewer m than cm: the number should get smaller. If it does not, you used the wrong operation.
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 10 mm in 1 cm. Divide by 10 to change mm into cm.
- Find how many of the small unit make one of the big unit. We need this to change units.1 cm = 10 mm
- Choose the operation. We are changing mm into cm. A cm is bigger, so we need fewer of them: divide by 10.36 ÷ 10
- Move the digits 1 column to the right. Dividing by 10 makes each digit 10 times smaller.36 ÷ 10 = 3.6
- Write the answer with the unit. 36 mm = 3.6 cm
Check. Go back: 3.6 × 10 = 36. ✓
Watch out. Fewer cm than mm: the number should get smaller. If it does not, you used the wrong operation.
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 10 mm in 1 cm. Divide by 10 to change mm into cm.
- Find how many of the small unit make one of the big unit. We need this to change units.1 cm = 10 mm
- Choose the operation. We are changing mm into cm. A cm is bigger, so we need fewer of them: divide by 10.7 ÷ 10
- Move the digits 1 column to the right. Dividing by 10 makes each digit 10 times smaller.7 ÷ 10 = 0.7
- Write the answer with the unit. 7 mm = 0.7 cm
Check. Go back: 0.7 × 10 = 7. ✓
Watch out. Fewer cm than mm: the number should get smaller. If it does not, you used the wrong operation.
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 100 cm in 1 m. Multiply by 100 to change m into cm.
- Find how many of the small unit make one of the big unit. We need this to change units.1 m = 100 cm
- Choose the operation. We are changing m into cm. A cm is smaller, so we need more of them: multiply by 100.3.5 × 100
- Move the digits 2 columns to the left. Multiplying by 100 makes each digit 100 times bigger.3.5 × 100 = 350
- Write the answer with the unit. 3.5 m = 350 cm
Check. Go back: 350 ÷ 100 = 3.5. ✓
Watch out. More cm than m: the number should get bigger. If it does not, you used the wrong operation.
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 100 cm in 1 m. Multiply by 100 to change m into cm.
- Find how many of the small unit make one of the big unit. We need this to change units.1 m = 100 cm
- Choose the operation. We are changing m into cm. A cm is smaller, so we need more of them: multiply by 100.0.72 × 100
- Move the digits 2 columns to the left. Multiplying by 100 makes each digit 100 times bigger.0.72 × 100 = 72
- Write the answer with the unit. 0.72 m = 72 cm
Check. Go back: 72 ÷ 100 = 0.72. ✓
Watch out. More cm than m: the number should get bigger. If it does not, you used the wrong operation.
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 100 cm in 1 m. Multiply by 100 to change m into cm.
- Find how many of the small unit make one of the big unit. We need this to change units.1 m = 100 cm
- Choose the operation. We are changing m into cm. A cm is smaller, so we need more of them: multiply by 100.6 × 100
- Move the digits 2 columns to the left. Multiplying by 100 makes each digit 100 times bigger.6 × 100 = 600
- Write the answer with the unit. 6 m = 600 cm
Check. Go back: 600 ÷ 100 = 6. ✓
Watch out. More cm than m: the number should get bigger. If it does not, you used the wrong operation.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 10 moves each digit 1 place to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 10 makes every digit 10 times smaller.
- Move every digit 1 column to the right. Each digit slides one column to the right, to a column that is worth 10 times less.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.6 ÷ 10 = 0.6 m
Check. Go the other way: 0.6 × 10 = 6. ✓
Watch out. The digits move to the right (they get smaller). Do not just add a 0 on the end.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Dividing by 100 moves each digit 2 places to the right in the place-value chart.
- Write the number in a place-value chart. Dividing by 100 makes every digit 100 times smaller.
- Move every digit 2 columns to the right. Each digit slides two columns to the right, because dividing by 100 is dividing by 10 twice.
- Fill the empty ones column with a 0. A number like 0.53 starts with 0 ones. The 0 holds the place.0 ones
- Write the answer. Put the decimal point after the ones.6 ÷ 100 = 0.06 m
Check. Go the other way: 0.06 × 100 = 6. ✓
Watch out. The digits move, not the decimal point. And 5 ÷ 100 is 0.05: you need a 0 in the tenths column as well as the ones column.
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 100 cm in 1 m. Divide by 100 to change cm into m.
- Find how many of the small unit make one of the big unit. We need this to change units.1 m = 100 cm
- Choose the operation. We are changing cm into m. A m is bigger, so we need fewer of them: divide by 100.75 ÷ 100
- Move the digits 2 columns to the right. Dividing by 100 makes each digit 100 times smaller.75 ÷ 100 = 0.75
- Write the answer with the unit. 75 cm = 0.75 m
Check. Go back: 0.75 × 100 = 75. ✓
Watch out. Fewer m than cm: the number should get smaller. If it does not, you used the wrong operation.
Key words. Convert means change from one unit to another. 1 m = 100 cm. 1 cm = 10 mm.
Method. There are 100 cm in 1 m. Divide by 100 to change cm into m.
- Find how many of the small unit make one of the big unit. We need this to change units.1 m = 100 cm
- Choose the operation. We are changing cm into m. A m is bigger, so we need fewer of them: divide by 100.68 ÷ 100
- Move the digits 2 columns to the right. Dividing by 100 makes each digit 100 times smaller.68 ÷ 100 = 0.68
- Write the answer with the unit. 68 cm = 0.68 m
Check. Go back: 0.68 × 100 = 68. ✓
Watch out. Fewer m than cm: the number should get smaller. If it does not, you used the wrong operation.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Work out 5 ÷ 10 yourself using the place-value chart, and compare with Jack’s answer.
- Look at Jack’s answer. Jack says 5 ÷ 10 = 0.05.0.05 is 5 hundredths. That is what we get from 5 ÷ 100.
- Work out 5 ÷ 10 correctly. Divide by 10: move the 5 one column to the right, into the tenths column.
- Write the answer. 5 ones becomes 5 tenths.5 ÷ 10 = 0.5
Check. 0.5 × 10 = 5. ✓
Watch out. One column for ÷ 10, two columns for ÷ 100.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Try the biggest two-digit number, 99, and a few others. Divide by 100 each time.
- Try 99 ÷ 100. This is the biggest two-digit number.99 ÷ 100 = 0.99, which is less than 1.
- Try some other two-digit numbers. Smaller numbers give smaller answers.50 ÷ 100 = 0.5 10 ÷ 100 = 0.1 25 ÷ 100 = 0.25
- Explain. A two-digit number is less than 100. If we divide a number smaller than 100 by 100, we get less than 1.Always
Check. 100 ÷ 100 = 1, and every two-digit number is less than 100. ✓
Watch out. “Always” means every case. 100 itself has three digits.
A 4 ÷ 10 B 40 ÷ 100 C 40 ÷ 10 D 4 ÷ 100 E 400 ÷ 100
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Work out each division. Look for the answers that equal 0.4.
- Work out each division. Move the digits to the right.A: 4 ÷ 10 = 0.4 ✓
B: 40 ÷ 100 = 0.4 ✓
C: 40 ÷ 10 = 4
D: 4 ÷ 100 = 0.04
E: 400 ÷ 100 = 4 - Choose the two that make 0.4. A and B
Check. 0.4 × 10 = 4 and 0.4 × 100 = 40. ✓
Watch out. Check each one. Do not guess from the digits.
Key words. To divide by 10 is to make a number 10 times smaller. The digits move one column to the right. Dividing by 100 moves them two columns.
Method. Try it with 50. Divide by 10, then divide that answer by 10 again, and compare with dividing 50 by 100.
- Divide 50 by 10. Move the digits one column to the right.50 ÷ 10 = 5
- Divide the answer by 10 again. Move the digits one more column to the right.5 ÷ 10 = 0.5
- Compare with dividing 50 by 100. Move the digits two columns to the right.50 ÷ 100 = 0.5
- Decide. Dividing by 10 twice has the same effect as dividing by 100 once.100
Check. 10 × 10 = 100. ✓
Watch out. Two moves of one column make a move of two columns.