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
- 4367
- 72 046
- 195 180
- 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 |
4 586 234 | ||
9 784 365 | ||
29 675 384 | ||
526 673 109 |
- 450 616
- 453 016
- 453 061
- 450 663
- 453 106
- 450 631
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