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Operations with Scientific Notation Answers

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The product of and a number n results in . What is the value of n?

Question illustration
A
2 times 10 Superscript negative 8
Option A
B
2 times 10 Superscript negative 3
Option B
C
2 times 10 Superscript 16
Option C
D
2 times 10 Superscript 48
Option D
2
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A passenger car weighs units. Which unit of measure was used?

Question illustration
A
grams
B
ounces
C
pounds
D
tons
3

Annabelle measured her bedroom as 11 ft 13 ft, which is 143 square feet. She wants to change the units to square inches. Which statements should she consider when converting? Check all that apply.

Question illustration
A
There are 12 inches in every foot.
B
The length and width will change by a factor of .
Option B
C
The length and width will change by a factor of .
Option C
D
The area will change by a factor of , since area is length times width.
Option D
E
The area will change by a factor of , since both the length and width increase by that factor.
Option E
4

Ruchi measured the area of her kitchen as square units. When she recorded the area, she wrote square feet. Which statement about her labeling of the units is true?

Question illustration
A
She is correct because dimensions of rooms must always be measured in feet and area would be square feet.
B
She is correct because ft is equivalent to 2, 810 ft, which is an average size for a kitchen since area is always so much more than length.
Option B
C
She is incorrect because is around 30,000 so the units must be smaller than feet. She most likely measured in inches.
Option C
D
She is incorrect because 2.81 is a small number. She probably measured in yards to arrive at such a small value.
5

An inground swimming pool contains units of water. Which unit of measure was used?

Question illustration
A
teaspoons
B
cubic centimeters
C
fluid ounces
D
gallons
6

What is the value of the expression, written in standard form?

Question illustration
Answer not available
7

A cell phone weighs about pounds. Which value of n is most reasonable?

Question illustration
A
Negative 3
Option A
B
Negative 1
Option B
C
0
D
1
8

Leah is measuring the weight of adult rhinos at the zoo. Which unit of measurement should she use to eliminate the need to write the values in scientific notation?

A
grams
B
feet
C
gallons
D
tons
9

Bethany wants to estimate the value of . Which statement about the estimate is true?

Question illustration
A
The value will be greater than 1 because is a very large number and multiplication always increases the size of a number.
Option A
B
The value will be greater than 1 because and 8 is larger than 1.
Option B
C
The value will be less than 1 because will be a negative number. All negative numbers are less than one.
Option C
D
The number will be less than 1 because when adding the exponents, , and a number in scientific notation with a negative exponent is less than 1.
Option D
10

Cassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should she use to eliminate the need to write the value in scientific notation?

A
teaspoons
B
inches
C
gallons
D
pounds

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