Question

Kristen was asked to write each of the numbers in the expression 80,000 x 25 using exponents. Her response was (8 x 10 to the power of 3) x 5 to the power of 2. Was Kristen's response correct? Explain.

Answer 1

Kriste respone is wrong

Solution:

Given that,

Kristen was asked to write each of the numbers in the expression 80,000 x 25 using exponents

Her response was (8 x 10 to the power of 3) x 5 to the power of 2

No, the response of Kristen is wrong

Let us first understand about exponents

An exponent refers to the number of times a number is multiplied by itself

Given expression is:

`80000 * 25`

Here, 80000 has 4 zeros

Therefore, it can be raised as 10 power 4

`80000 = 8 * 10^4`

Thus the expression becomes:

`80000 * 25 = 8 * 10^4 * 25`

Also, 25 can be written as 5 power 2

`80000 * 25 = 8 * 10^4 * 5^2`

Thus given expression is written as (8 x 10 to the power 4) x 5 power to the power 2

Thus Kristen respone is wrong, because he has raised 10 to power 3