Unit 1 Study Guide

Vocab

100

It tells the number of times you multiply the base by itself

Exponent

200

The result of multiplying a number to any integer

Multiple

300

The process of getting all prime factors of a number.

Prime Factorization /  Factor Tree

400

A term for the largest number which is a factor of two or more numbers. (Complete words)

Greatest Common Factor

500

What does GEMS mean?

Grouping Symbols

Exponents

Multiply/Divide

Subtract/Add

Powers& Exponents

100

What is the repeated factor for 6³?

6x6x6

200

What is the value of nine squared?

81

300

Write as a power: 4x4x4x4x4x4x4x4x4

4⁹

400

What is the perfect square between 34 and 48?

36

500

Give the first 10 perfect squares

1, 4, 9, 16, 20, 25, 36, 49, 64, 81, 100

Order of Operations

100

10+2x3

16

200

2² + (10-5) 

9

300

(10/5) + 24 - 6 x 2

14

400

45 - (10+5) x 1³

30

500

Which is greater: 

(4x5) - 10 + 4² 

or 

20 - 3² + (8x2)?

20 - 3² + (8x2)

PrimeFactorization

100

Is 213 a prime number?

No, The factors of 213 are 1, 3, 71, 213. It is a composite number.

200

What number is equivalent to : 2x2x3?

12

300

What are the prime factors of 30?

2x3x5

400

Yes or No, the prime factors of 100 are 2x2x5x5.

Yes, 2x2x5x5 = 100

500

What are the prime factors of 120?

120 = 2 × 2 × 2 × 3 × 5  

GCF / LCM

100

What is the GCF of 5 and 10?

5

200

What is the GCF of 35, 49, and 63?

7

300

What is the LCM of 2 and 8

8

400

What is the LCM of 5, 6, and 10?

30

500

Is the GCF of 24 and 32 greater than the LCM of 3 and 15?

What is 3No, the GCF of 24 and 32 is 8 while the LCM of 3 and 15 is 15. 15 is greater than 8 so, GCF of 24 and 32 is not greater than the LCM of 3 and 15