When you multiply by a power of 10 the decimal point moves how many places

Question

asked Mar 16, 2023 227k views

1 Answer

Gowri Sundar · Answer 1 · 2023-03-22T17:46:12+0000

If we have a number X and we multiply it by a power of 10, then:

$x\text{ }\ast\text{ }10^{n\text{ }}=\text{ x followed by n zeros}$

Example:

x = 7 and we want to multiply it by 1,000

$7\text{ }\ast\text{ 1,000 = 7 }\ast\text{ }10^{3\text{ }}=\text{ 7, 000 (3 zeros, the same quantity of the power)}$

Another example:

x = 27 and we want to multiply it by 1 million

$27\text{ }\ast\text{ 1,000,000 = 27 }\ast10^{6\text{ }}=\text{ 27,000,000 (6 zeros, the same quantity of power)}$