Step-by-step Maths Level 4 Counting and place value to 10000: check-up and practice test questions

Method. Find the step between the numbers, then count on to fill the gap.

1. Find the step size from two numbers that are next to each other. The step is the same all the way along.
   7722 - 7622 = 100
2. Count from the number before the gap. Add the step to get the missing number.
   7522 + 100 = 7622
3. Write the missing number. It fits the pattern.
   7622

Check. Check: 7622 + 100 is the next number, 7722.

Watch out. Look at the numbers either side of the gap. The step is the same each time.

Method. Find the parts we know, then subtract them from the whole.

1. Add the parts we know. These are the parts written in the sum.
   595
2. Take this from the number to find the missing part. 1595 minus the known parts is the gap.
   1595 - 595 = 1000
3. Write the missing part. It is the value of that column.
   1000

Check. Check: 1000 + 500 + 90 + 5 = 1595.

Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   5951
2. Take 1000 each time. Each count moves by the same step.
   5951 - 1000 = 4951
3. Take 1000 each time. Each count moves by the same step.
   4951 - 1000 = 3951
4. Take 1000 each time. Each count moves by the same step.
   3951 - 1000 = 2951
5. Take 1000 each time. Each count moves by the same step.
   2951 - 1000 = 1951
6. Write the answer. This is the last number we reached.
   1951

Check. Count the steps back: 1951 + 4000 = 5951.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Find the parts we know, then subtract them from the whole.

1. Add the parts we know. These are the parts written in the sum.
   3505
2. Take this from the number to find the missing part. 3595 minus the known parts is the gap.
   3595 - 3505 = 90
3. Write the missing part. It is the value of that column.
   90

Check. Check: 3000 + 500 + 90 + 5 = 3595.

Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.

Method. Read the number from the right, column by column.

1. Count from the right to the thousands column. Ones are on the right, then tens, hundreds and thousands.
   4882: thousands, hundreds, tens, ones
2. Read the digit in that column. It is the digit that stands in that place.
   the thousands digit is 4
3. Write the digit. Write only the digit.
   4

Check. Check: the picture shows 4 squares in the thousands column.

Watch out. Count the place columns from the right, not from the left.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   7100
2. Add 50 each time. Each count moves by the same step.
   7100 + 50 = 7150
3. Add 50 each time. Each count moves by the same step.
   7150 + 50 = 7200
4. Add 50 each time. Each count moves by the same step.
   7200 + 50 = 7250
5. Write the answer. This is the last number we reached.
   7250

Check. Count the steps back: 7250 - 150 = 7100.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   4531
2. Take 100 each time. Each count moves by the same step.
   4531 - 100 = 4431
3. Take 100 each time. Each count moves by the same step.
   4431 - 100 = 4331
4. Take 100 each time. Each count moves by the same step.
   4331 - 100 = 4231
5. Write the answer. This is the last number we reached.
   4231

Check. Count the steps back: 4231 + 300 = 4531.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Find the parts we know, then subtract them from the whole.

1. Add the parts we know. These are the parts written in the sum.
   2340
2. Take this from the number to find the missing part. 2341 minus the known parts is the gap.
   2341 - 2340 = 1
3. Write the missing part. It is the value of that column.
   1

Check. Check: 2000 + 300 + 40 + 1 = 2341.

Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   5054
2. Add 1000 each time. Each count moves by the same step.
   5054 + 1000 = 6054
3. Add 1000 each time. Each count moves by the same step.
   6054 + 1000 = 7054
4. Add 1000 each time. Each count moves by the same step.
   7054 + 1000 = 8054
5. Add 1000 each time. Each count moves by the same step.
   8054 + 1000 = 9054
6. Write the answer. This is the last number we reached.
   9054

Check. Count the steps back: 9054 - 4000 = 5054.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   5549
2. Add 100 each time. Each count moves by the same step.
   5549 + 100 = 5649
3. Add 100 each time. Each count moves by the same step.
   5649 + 100 = 5749
4. Add 100 each time. Each count moves by the same step.
   5749 + 100 = 5849
5. Add 100 each time. Each count moves by the same step.
   5849 + 100 = 5949
6. Add 100 each time. Each count moves by the same step.
   5949 + 100 = 6049
7. Write the answer. This is the last number we reached.
   6049

Check. Count the steps back: 6049 - 500 = 5549.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Change the thousands digit by one; the other digits stay the same.

1. Look at the thousands digit. Only the thousands digit changes when we add or take away 1000.
   6518 has 6 thousands
2. Take away one thousand. The thousands digit goes up or down by 1.
   6 - 1 = 5 thousands
3. Write the answer. The hundreds, tens and ones stay the same.
   5518

Check. Check: 5518 and 6518 differ by exactly 1000.

Watch out. Do not change the hundreds, tens or ones when you add or take away 1000.

Method. Read the number from the right, column by column.

1. Count from the right to the hundreds column. Ones are on the right, then tens, hundreds and thousands.
   6891: thousands, hundreds, tens, ones
2. Read the digit in that column. It is the digit that stands in that place.
   the hundreds digit is 8
3. Write the digit. Write only the digit.
   8

Check. Check: the picture shows 8 squares in the hundreds column.

Watch out. Count the place columns from the right, not from the left.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   8350
2. Take 50 each time. Each count moves by the same step.
   8350 - 50 = 8300
3. Take 50 each time. Each count moves by the same step.
   8300 - 50 = 8250
4. Write the answer. This is the last number we reached.
   8250

Check. Count the steps back: 8250 + 100 = 8350.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   6900
2. Add 50 each time. Each count moves by the same step.
   6900 + 50 = 6950
3. Add 50 each time. Each count moves by the same step.
   6950 + 50 = 7000
4. Add 50 each time. Each count moves by the same step.
   7000 + 50 = 7050
5. Write the answer. This is the last number we reached.
   7050

Check. Count the steps back: 7050 - 150 = 6900.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   7000
2. Take 50 each time. Each count moves by the same step.
   7000 - 50 = 6950
3. Take 50 each time. Each count moves by the same step.
   6950 - 50 = 6900
4. Take 50 each time. Each count moves by the same step.
   6900 - 50 = 6850
5. Take 50 each time. Each count moves by the same step.
   6850 - 50 = 6800
6. Write the answer. This is the last number we reached.
   6800

Check. Count the steps back: 6800 + 200 = 7000.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   2214
2. Take 100 each time. Each count moves by the same step.
   2214 - 100 = 2114
3. Take 100 each time. Each count moves by the same step.
   2114 - 100 = 2014
4. Take 100 each time. Each count moves by the same step.
   2014 - 100 = 1914
5. Write the answer. This is the last number we reached.
   1914

Check. Count the steps back: 1914 + 300 = 2214.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Find the parts we know, then subtract them from the whole.

1. Add the parts we know. These are the parts written in the sum.
   6000
2. Take this from the number to find the missing part. 6060 minus the known parts is the gap.
   6060 - 6000 = 60
3. Write the missing part. It is the value of that column.
   60

Check. Check: 6000 + 0 + 60 + 0 = 6060.

Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.

Method. Put each part of the words into its place in the number.

1. Find the thousands. Thousands come first.
   9 thousand = 9000
2. Find the hundreds and the tens and ones. Hundreds are the next part; the last two digits follow.
   300 and 39
3. Add the parts together. Each part goes in its own column.
   9000 + 300 + 39 = 9339
4. Write the number in figures. Keep a zero in any empty place.
   9339

Check. Read 9339 back in words: nine thousand three hundred and thirty-nine.

Watch out. A zero is needed for any place with nothing in it, such as four thousand and six is 4006.

Method. Count in steps of the same size, one step at a time.

1. Start at the first number. It is where we begin.
   4836
2. Take 100 each time. Each count moves by the same step.
   4836 - 100 = 4736
3. Take 100 each time. Each count moves by the same step.
   4736 - 100 = 4636
4. Write the answer. This is the last number we reached.
   4636

Check. Count the steps back: 4636 + 200 = 4836.

Watch out. Each step adds or takes away the same amount. Do not start counting again from the beginning.

Method. Put each part of the words into its place in the number.

1. Find the thousands. Thousands come first.
   6 thousand = 6000
2. Find the hundreds and the tens and ones. Hundreds are the next part; the last two digits follow.
   200 and 55
3. Add the parts together. Each part goes in its own column.
   6000 + 200 + 55 = 6255
4. Write the number in figures. Keep a zero in any empty place.
   6255

Check. Read 6255 back in words: six thousand two hundred and fifty-five.

Watch out. A zero is needed for any place with nothing in it, such as four thousand and six is 4006.