Question

Explain the pattern you can use to find the product when multiplying a whole number by a power of ten. Will this pattern be the same when multiplying a decimal by a power of ten? Explain with examples.

Answer 1

The pattern is the same when multiplying a whole number and a decimal number by a power of ten.

Explanation:

The pattern to use when multiplying a whole number by a power of ten can be expressed as follow:

A whole number is a number without a fraction, so let say we choose 12 as a whole number, and let choose 6¹⁰ as a number with the power of ten.

To multiply these two numbers, we get;

= 12 × 6¹⁰

= 12 × 60466176

= 725594112

Now, the pattern to use when multiplying a decimal by a power of ten.

A decimal number is a number that comprises of a whole number and a fraction number that is being by a decimal point.

Let say our decimal number is 1.2 and our number raised to the power of ten is 6¹⁰

Then, To multiply these two numbers, we get;

= 1.2 × 6¹⁰

= 1.2 × 60466176

= 72559411.2

Thus, the pattern is the same when multiplying a whole number and a decimal number by a power of ten.