Chapter 1.1 (Mathematics 8)

# Place Value and Total Value of Whole Numbers

## 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.

## Practice

### A. Place Value

1. 4367
2. 72 046

3. 195 180
1. Write the place value of the digit 5 in 65 024 839.
∴
2. Write the place value of the digit 6 in the product of 5045 and 25.
Product:
∴ Place value:
3. 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.

1. What is the new number?
∴
2. What is the difference between the two numbers?
∴
3. What is the total value of the digit in the hundreds place in the difference?
∴
1. Add three million, seven hundred and eighty two thousand, four hundred and fifty six to nine hundred and fifteen thousand, seven hundred and seven.
∴  +  =
2. Which digit is in the place value of ten thousands in the sum?
∴
 Number Place value Total value 4 586 234 –tenhundredhundredsmillionsonestensthousands 9 784 365 –tenhundredhundredsmillionsonestensthousands 29 675 384 –tenhundredhundredsmillionsonestensthousands 526 673 109 –tenhundredhundredsmillionsonestensthousands
• 450 616
• 453 016
• 453 061
• 450 663
• 453 106
• 450 631