Step-by-step Maths Level 3: The value of each digit
Part of the Step-by-step Maths Level 3 hundreds, tens and ones chapter. Chapter overview · whole chapter on one page
The value of each digit
The value of a digit depends on its place. The 6 in 645 is 6 hundreds, which is 600. The 6 in 764 is 6 tens, which is 60.
Find the digit and its place, then multiply by the place value.
Key ideas
- Hundreds are worth 100 each.
- Tens are worth 10 each.
- Ones are worth 1 each.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 684. The hundreds digit is in the hundreds column.hundreds digit = 6
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.6 x 100 = 600
- Write the answer. This is the value of the digit.600
Check. Check the other digits add to the number: 684 = 84 + 600.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 473. The ones digit is in the ones column.ones digit = 3
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.3 x 1 = 3
- Write the answer. This is the value of the digit.3
Check. Check the other digits add to the number: 473 = 470 + 3.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 907. The tens digit is in the tens column.tens digit = 0
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.0 x 10 = 0
- Write the answer. This is the value of the digit.0
Check. Check the other digits add to the number: 907 = 907 + 0.
Watch out. The value is the digit times the place. It is not just the digit.
Watch out
Watch out. The value of the 4 in 340 is 40, not 4. A digit in the tens place is worth ten times its digit.
Exam tip
Grown-up tip. Ask: “Is that digit in the hundreds, tens or ones column? What is it worth?”
Exercise 2D Practice: the value of each digit
Non-calculatorMethod. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 496. The hundreds digit is in the hundreds column.hundreds digit = 4
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.4 x 100 = 400
- Write the answer. This is the value of the digit.400
Check. Check the other digits add to the number: 496 = 96 + 400.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 989. The ones digit is in the ones column.ones digit = 9
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.9 x 1 = 9
- Write the answer. This is the value of the digit.9
Check. Check the other digits add to the number: 989 = 980 + 9.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 988. The ones digit is in the ones column.ones digit = 8
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.8 x 1 = 8
- Write the answer. This is the value of the digit.8
Check. Check the other digits add to the number: 988 = 980 + 8.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 333. The tens digit is in the tens column.tens digit = 3
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.3 x 10 = 30
- Write the answer. This is the value of the digit.30
Check. Check the other digits add to the number: 333 = 303 + 30.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 951. The ones digit is in the ones column.ones digit = 1
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.1 x 1 = 1
- Write the answer. This is the value of the digit.1
Check. Check the other digits add to the number: 951 = 950 + 1.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 178. The ones digit is in the ones column.ones digit = 8
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.8 x 1 = 8
- Write the answer. This is the value of the digit.8
Check. Check the other digits add to the number: 178 = 170 + 8.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 639. The tens digit is in the tens column.tens digit = 3
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.3 x 10 = 30
- Write the answer. This is the value of the digit.30
Check. Check the other digits add to the number: 639 = 609 + 30.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 262. The hundreds digit is in the hundreds column.hundreds digit = 2
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.2 x 100 = 200
- Write the answer. This is the value of the digit.200
Check. Check the other digits add to the number: 262 = 62 + 200.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 103. The tens digit is in the tens column.tens digit = 0
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.0 x 10 = 0
- Write the answer. This is the value of the digit.0
Check. Check the other digits add to the number: 103 = 103 + 0.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 933. The ones digit is in the ones column.ones digit = 3
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.3 x 1 = 3
- Write the answer. This is the value of the digit.3
Check. Check the other digits add to the number: 933 = 930 + 3.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 586. The hundreds digit is in the hundreds column.hundreds digit = 5
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.5 x 100 = 500
- Write the answer. This is the value of the digit.500
Check. Check the other digits add to the number: 586 = 86 + 500.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 170. The tens digit is in the tens column.tens digit = 7
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.7 x 10 = 70
- Write the answer. This is the value of the digit.70
Check. Check the other digits add to the number: 170 = 100 + 70.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 239. The hundreds digit is in the hundreds column.hundreds digit = 2
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.2 x 100 = 200
- Write the answer. This is the value of the digit.200
Check. Check the other digits add to the number: 239 = 39 + 200.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 391. The tens digit is in the tens column.tens digit = 9
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.9 x 10 = 90
- Write the answer. This is the value of the digit.90
Check. Check the other digits add to the number: 391 = 301 + 90.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 883. The hundreds digit is in the hundreds column.hundreds digit = 8
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.8 x 100 = 800
- Write the answer. This is the value of the digit.800
Check. Check the other digits add to the number: 883 = 83 + 800.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 649. The tens digit is in the tens column.tens digit = 4
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.4 x 10 = 40
- Write the answer. This is the value of the digit.40
Check. Check the other digits add to the number: 649 = 609 + 40.
Watch out. The value is the digit times the place. It is not just the digit.