Question

Bethany wants to estimate the value of (4.296 x 10^11) x (1.8614 x 10^-14). Which statement about the estimate is true?

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,
11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Answer 1

D. The number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.

Explanation:

Edge 2023

Answer 2

D. The number will be less than 1 because when adding the exponents,
11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.


`(4.296 * 10^(11)) * (1.8614 * 10^(-14))= \\ \\ 4.296*1.8614*10^(11+(-14))=\\\\7.99657*10^(-3)= \\ \\ \cfrac{7.99657}{1000}=\\\\0.00799657`