Question

Explain how to use a pattern to find the product of a power of 10 and a decimal

Answer 1

Answer:

When we multiply a decimal by a number with power of 10, the decimal point moves to the right by the same number of zeros in the power of ten multiplier.

For example:

Multiplying 7.362 by 100.

As there are 2 zeroes in 100, we will move the decimal to 2 places in the right.

Hence, $7.362\times100=736.2$

Powers of 10 are like 10,100,1000 and so on.

Answer 2

Decimal numbers are numbers that have fractional parts.

Take for instance the following products.

$\mathbf{2.56 \times 10^2 = 256}$

$\mathbf{2.56 \times 10^3 = 2560}$

$\mathbf{2.56 \times 10^{-3} = 0.00256}$

$\mathbf{2.56 \times 10^{-2} = 0.0256}$

Assume the power of 10 is n.

• Notice that, when the n is positive, the decimal place moves forward n times.
• Similarly, when n is negative, the decimal place moves backward n times.

So, patterns can be used to calculate the product of a decimal and a power of 10 by moving the decimal place forward or backward

Read more about patterns and decimals at:

https://brainly.com/question/13094279