AnswersFL-1205070-MJ Grade 8 Pre-Algebra Summer 2026Operations with Scientific Notation

Operations with Scientific Notation Answers

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Kevin calculated the product of 3.2 × 104 and 3.6 × 102 as 11.52 × 106. Which is the next step that Kevin should apply to his solution?

A
Write in scientific notation, moving the decimal in the coefficient one place left and keeping the same exponent.
B
Write in scientific notation, moving the decimal in the coefficient one place to the left, which subtracts 1 from the exponent value.
C
Write in scientific notation, moving the decimal in the coefficient one place to the left, which adds 1 to the exponent value.
D
Write in scientific notation, moving the decimal in the coefficient one place to the right, which adds 1 to the exponent value.
3

3. poundsounces✔ tons

A
pounds
B
ounces
C
✔ tons
7

What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply.

Question illustration
A
The coefficient of the solution is 6.4, the difference of the original coefficients.
B
The exponent of the solution is –12, the difference of the original exponents.
C
The coefficient of the solution must be greater than or equal to one but less than 10.
D
The quotient is 3.0 × 10-12
E
The solution is a very large number.
8

Find the quotient of 2.5 × 10-3 and 7.1 × 106. What can be concluded about the solution? Check all that apply.

A
The E indicates that the solution is given in scientific notation.
B
The coefficient is 3.5211.
C
The exponent is 10.
D
The solution can be written in scientific notation as 3.5211 × 10-10.
E
The solution is 35,211,000,000.
9

Analyze Nick’s solution. Is he correct? If not, what was his mistake?

A
Yes, Nick is correct.
B
No, the power multiplied to 8.64 should have an exponent of 0.
C
No, he needed to subtract the coefficients.
D
No, he needed to add the exponents.
10

How can Buster tell without fully performing the calculations?

A
Buster knows the answer is more than 1, because he can add the exponents to see that the solution will have an exponent of 21.
B
Buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5.
C
Buster knows the answer is more than 1, because 9.763 ÷ 1.56 is more than 1.
D
Buster cannot answer the question without a calculator.
11

Question text not available

Answers:
Selection 1:pounds
Selection 2:ounces
Selection 3:tons
12

1. ✔ poundsouncestons

Answers:
Selection 1:pounds
Selection 2:ounces
Selection 3:tons
13

How do you multiply two scientific notation values? Explain the steps you would take to find the product of 6.7 × 106 and 3.2 × 105 written in scientific notation.

Answer:

Calculate the product of the coefficients and powers separately. Apply the product of powers rule to add the exponents. The product is not in scientific notation because the coefficient is greater than 10. Change the coefficient by moving the decimal one place to the left and increasing the exponent by one.

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