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:

$80000 \times 25$

Here, 80000 has 4 zeros

Therefore, it can be raised as 10 power 4

$80000 = 8 \times 10^4$

Thus the expression becomes:

$80000 \times 25 = 8 \times 10^4 \times 25$

Also, 25 can be written as 5 power 2

$80000 \times 25 = 8 \times 10^4 \times 5^2$

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