Operations with Scientific Notation

Quiz
•
Mathematics
•
8th Grade
•
Medium
Shana Speicher
Used 13+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Buster was given this expression and asked to determine whether the answer is greater than or less than 1.
How can Buster tell without fully performing the calculations?
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.
Buster knows the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of -5.
Buster knows the answer is more than 1, because 9.763 / 1.56 is more than 1.
Buster cannot answer the question without a calculator.
Answer explanation
When multiplying numbers in scientific notation, add the exponents to find the power of 10. When dividing numbers in scientific notation, subtract the exponents to find the power of 10.
2.
OPEN ENDED QUESTION
3 mins • 1 pt
Explain the steps you would take to find the product of 6.7 * 106 and 3.2 * 105 written in scientific notation.
Evaluate responses using AI:
OFF
Answer explanation
The coefficient (number being multiplied by the power of 10) must be between 1 and 10. If the number is greater than 10, move the decimal to the left and increase the exponent. If the number is less than 1, move the decimal to the right and decrease the exponent.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Aliyah wants to estimate the value of the given quotient. 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.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the product in scientific notation?
Answer explanation
When multiplying numbers in scientific notation, multiply the coefficients and add the exponents.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the quotient in scientific notation?
Answer explanation
When dividing numbers in scientific notation, divide the coefficients and subtract the exponents.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When evaluating, what will be the exponent of 10 in the product?
3
4
8
15
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When evaluating, what will be the exponent of 10 in the quotient?
3
4
8
16
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