Multiplication and Division of Decimal Numbers by 10, 100 and 1000
July 18, 2023 | by Bloom Code Studio
Multiplication and division of decimals by numbers that have powers of 10 is easier than that by a whole number. Rules for multiplication and division of decimal numbers by 10, 100 and 1000:
| Multiplication and Division | Rules | Examples |
| Multiply by 10(101) | the number will move one place value to the left | 5.63 x 10 =56.3 |
| Multiply by 100 (102) | the number will move two places value to the left | 5.63 x 100 =563 |
| Multiply by 1000 (103) | the number will move three places value to the left | 5.63 x 1000 =5630 |
| Divide by 10(101) | the number will move one place value to the right | 56.3 ÷ 10 =5.63 |
| Divide by 100(102) | the number will move two places value to the right | 56.3 ÷ 100 =0.563 |
| Divide by 1000(103) | the number will move three places value to the right | 56.3 ÷ 1000 =0.0563 |
Multiplication and Division Equations
The equations are the expression that includes integers, variables, equality signs and arithmetic operations. For example,
2a + 9 = 7
If we solve the above equation for a, then,
2a = 7 – 9
a = -2÷2 = -1
Thus, we can see, the above solution involved both multiplication and division methods.
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