# Place Value and Total Value of Whole Numbers

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## Place Value and Total Value

In a whole number, every digit has a place value and a total value. For example, the place value of the digit 7 in the number 4783 is hundreds. Its total value is 7 × 100 = 700.

### Examples

#### Example 1

Write down the place value and the total value of digits 7 and 6 in the number 7 246 108.

- The place value of 7 is millions.

The total value of digit 7 is 7 × 1 000 000 = 7 000 000. - The place value of digit 6 is thousands.

The total value of digit 6 is 6 × 1000 = 6000.

#### Example 2

What is the place value and total value of digit 4 in the product of 6785 × 493?

- The place value of digit 4 in the product is ten thousands.
- The total value of digit 4 in the product is 4 × 10 000 = 40 000.

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## Practice

### A. Place Value

- 43
7**6** - 7
046**2**

95 180__1__

- Write the place value of the digit 5 in 65 024 839.

∴ - Write the place value of the digit 6 in the product of 5045 and 25.

Product:

∴ Place value: - How many times is the total value of the digit 6 larger than that of the digit 3 in 162 348?

∴ times

### B. Difference and Sum

The digits 4 and 2 in 72 543 are interchanged to form a new number.

- What is the new number?

∴ - What is the difference between the two numbers?

∴ - What is the total value of the digit in the hundreds place in the difference?

∴

- Add three million, seven hundred and eighty two thousand, four hundred and fifty six to nine hundred and fifteen thousand, seven hundred and seven.

∴ + = - Which digit is in the place value of ten thousands in the sum?

∴

Number | Place value | Total value |

4 5 | ||

9 | ||

2 | ||

5 |

- 450 616
- 453 016
- 453 061
- 450 663
- 453 106
- 450 631

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