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

784 365

29 675 384

526 673 109

  • 450 616
  • 453 016
  • 453 061
  • 450 663
  • 453 106
  • 450 631
Please wait