Question

Jed needs to estimate the value of StartFraction 4.32 times 10 Superscript negative 4 Baseline Over 8.71 times 10 Superscript negative 9 Baseline EndFraction. Which statements should he consider? Check all that apply.

4.32 divided by 8.71 is approximately 2.
4.32 divided by 8.71 is approximately 0.5.
The answer will be very small because Negative 4 minus 9 = negative 13.
The number will be large because Negative 4 minus (negative 9) = 5.
He will need to rewrite the preliminary result in scientific notation.
The number will be small because the exponent will be a fraction.

Answer 1

Jed should consider the following statements to estimate the value of StartFraction 4.32 times 10 Superscript negative 4 Baseline Over 8.71 times 10 Superscript negative 9 Baseline EndFraction:

The numerator, 4.32 times 10^-4, is larger than the denominator, 8.71 times 10^-9. This means the quotient will be greater than 1.

Both the numerator and denominator are expressed in scientific notation, which means they are both very small numbers.

Jed should keep in mind that dividing by a very small number will result in a very large number.

Jed should also consider that the quotient represents a very small fraction of the numerator.

Explanation: