Question

Aliyah wants to estimate the value of the quotient of 5.68 x 10^-3 and 8.54 x 10^-9. Which statement about the value is true?

Answer 1

A statement about the value that is true is: B. The value will be greater than 1 because -3 - (-9) = 6. A number in scientific notation with a positive exponent is greater than 1.

In Mathematics and Statistics, any numerical data (number) can be written in scientific notation as shown below:

`a * b^(n)`

Where

• a represent a real number.
• b represent an integer.

Based on the information provided above, the quotient can be expressed in standard or scientific notation as follows;

`Value =(5.68 * 10^(-3))/(8.54 * 10^(-9))\\\\Value =(5.68 * 10^(-3-(-9)))/(8.54)\\\\Value =(5.68 * 10^(-3+9))/(8.54)\\\\Value =(5.68 * 10^(6))/(8.54)\\\\`

Value = 665105.39

In conclusion, we can logically deduce that the output value is greater than 1 because -3 - (-9) = 6, and any number in scientific notation with a positive exponent must be greater than 1.

Complete Question:

Aliyah wants to estimate the value of the quotient of
`5.68 * 10^(-3)` and
`8.54 * 10^(-9)`. Which statement about the value is true?

The value will be greater than 1 because -3/-9 is a positive number. A number in scientific notation with a positive exponent has a value greater than 1.

The value will be greater than 1 because -3 - (-9) = 6. A number in scientific notation with a positive exponent is greater than 1.

The value will be less than 1 because 5.68/8.54 is less than 1. The negative exponents will make it even smaller.

The number will be less than 1 because
`5.68 * 10^(-3)` is a very small number and division always makes the size of a number smaller.

Answer 2

`0.66x10^(6)=660,000`

Explanation:

Choices are not provide, however we can find the quotient.

Given numbers are
`5.68x10^(-3)` and
`8.54x10^(-9)`. The quotient would be

`(5.68x10^(-3))/(8.54x10^(-9))=0.66x10^(-3-(-9))=0.66x10^(-3+9)=0.66x10^(6)`

This number is expression a big one, because the power expresses that there's more zeros to the right, specifically, the number would be

`0.66x10^(6)=660,000`

Therefore, the quotient is

`0.66x10^(6)=660,000`