Question

what pattern do you notice in the placement of the decimal point when multiplying 0.36 by 10 and by 100​

Answer 1

To multiply a decimal number by a power of ten (such as 10, 100, 1,000, etc.), count the number of zero in the power of ten. Then go to the right the decimal point the same number of positions.

Explanation:

Answer 2

The pattern is that the decimal point moves the same number of decimal points to the right as zeros the power of ten has.

Explanation:

To multiply a decimal number by a power of ten (such as 10, 100, 1,000, etc.), count the number of zero in the power of ten. Then go to the right the decimal point the same number of positions.

For example, 0.36 * 10 = 3.6. The multiplier 10 has one zero, so you move the decimal point in 0.36 one position to the right to get the product 3.6.

A second example, 0.36 * 100 = 36. The multiplier 100 has two zeros, so you move the decimal point in 0.36 two positions to the right to get the product 36.

So, the pattern is that the decimal point moves the same number of decimal points to the right as zeros the power of ten has.