Question

What is the relationship between ​ 2.57×10^4 ​ and ​ 2.57×10^−1 ​ ? Select from the drop-down menus to correctly complete the statement.

A)1000 B)Greater
10,000 Less than
100,000
1,000,000

Answer 1

A) 100,000
B) Greater

Answer 2

We have the numbers:

2.57×10^4 and 2.57×10^−1

The first thing we can see is that the first number exponent is 4, and the second number's exponent is -1, so the difference between is of 5.

If we calculate the quotient between the numbers we have:

(2.57×10^4)/( 2.57×10^−1) = (2.57/2.57)*(10^4/10^-1) = 1*10^(4 - (-1)) = 10^5

Then the first number is 10^5 times bigger than the second number, then the first number is 100,000 greater than the second one.