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Questions and Answers
What is the prime factorization of 330?
What is the prime factorization of 330?
- 2 × 3 × 11 × 15
- 3 × 5 × 7 × 11
- 2 × 3 × 5 × 11 (correct)
- 2 × 5 × 6 × 11
What is the greatest perfect square that is a factor of 686?
What is the greatest perfect square that is a factor of 686?
- 81
- 49 (correct)
- 36
- 64
What is the GCF of 74 and 30?
What is the GCF of 74 and 30?
- 1
- 2 (correct)
- 15
- 5
What is the LCM of 4 and 6?
What is the LCM of 4 and 6?
If Stoplight A changes colors every 25 seconds and Stoplight B every 60 seconds, how often do they change colors at the same time?
If Stoplight A changes colors every 25 seconds and Stoplight B every 60 seconds, how often do they change colors at the same time?
What is the expression for 4 multiplied by itself five times written as a power?
What is the expression for 4 multiplied by itself five times written as a power?
How should you evaluate $4^3$?
How should you evaluate $4^3$?
Which of the following powers has a value greater than 60 and less than 65?
Which of the following powers has a value greater than 60 and less than 65?
Is 42 a perfect square?
Is 42 a perfect square?
What is the total surface area of a cube with a side length of 4 centimeters?
What is the total surface area of a cube with a side length of 4 centimeters?
How much water, in cubic feet, is needed to fill a cube-shaped tank with edge lengths of 15 feet?
How much water, in cubic feet, is needed to fill a cube-shaped tank with edge lengths of 15 feet?
What does the Commutative Property of Multiplication state?
What does the Commutative Property of Multiplication state?
Which of the following is a correct factor pair of 50?
Which of the following is a correct factor pair of 50?
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Study Notes
Powers and Exponents
- Express repeated multiplications as powers
- Calculate the value of powers
Area and Volume
- Calculate the area of a square given the side length
- The area of a square is the side length multiplied by itself
- Calculate the volume of a cube given the edge length
- The volume of a cube is the edge length multiplied by itself three times
Prime Factorization
- Identify prime factors of a number
- Find the greatest perfect square that is a factor of a number
- Prime factorization is writing a number as a product of its prime factors
Greatest Common Factor and Least Common Multiple
- Finding the GCF and LCM of numbers
- The GCF is the largest number that divides into two or more numbers
- The LCM is the smallest number that is a multiple of two or more numbers
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