Chapter 3 Review 6th

Chapter 3 Review 6th

Even Numbers

• end in 0,2,4,6,8

• ALWAYS divisible by 2

Odd Numbers

• end in 1, 3, 5, 7, 9

• NEVER divisible by 2

Multiple Choice

123,986

• Odd

• Even

Multiple Choice

560,990

• Odd

• Even

Multiple Choice

10

• Odd

• Even

Multiple Choice

1,098,987

• Odd

• Even

Multiple Choice

45,987

• Odd

• Even

Multiple Choice

23,678

• Odd

• Even

DIVISIBILITY RULES

• 2- even number ends in 0,2,4,6,8

• 3- if the SUM of the digits make a number divisible by 3

• 4- last TWO digits form a number divisible by 4

• 5- ends in 0 or 5

DIVISIBILITY RULES

• 6- must be divisible by 2 AND 3

• 8 - if the last THREE digits form a number divisible by 8

• 9- if the SUM of the digits make a number divisible by 9

• 10- ends in 0

Multiple Choice

What is the divisibility rule for 4?

• The sum of the digits must be a multiple of 4

• The last two digits must form a number that is a multiple of 4

• The number must be divisible by 2 and 3.

• The number must end in 0, 2, or 4

Multiple Choice

Which of these is divisible by 10?

• 8105
• 375
• 460
• 52

Multiple Choice

Which of these is divisible by 3?

• 3131
• 71
• 6043
• 804

Multiple Choice

Which of these is divisible by 9?

• 9629
• 9199
• 9963
• 4919

Multiple Choice

Which of these is divisible by 6?

• 515
• 59
• 2086
• 6312

Multiple Choice

Is 95 divisible by 5?

• Yes
• No

Multiple Choice

252 is divisible by 9 because:

• The digits add up to 18.

• The sum of the digits is divisible by 9.

• It's even and the sum of the digits is divisible by 3.

• The sum of the digits is even.

Multiple Choice

What is the divisibility rule for 3?

• Add up the digits. The sum must be even and divisible by 3.
• The digits must add up to 9.
• The last digit must be a 3.
• Add up the digits. The sum must be divisible by 3.

Multiple Choice

70 can be evenly divided by which number?

• 5
• 10
• 2
• All of the above

Multiple Choice

Is 64 divisible by 2?

• Yes
• No

EXPONENTS AND BASE

the exponent is the smaller number in the right corner that tells us how many times to multiply the base by itself

the base is the number being multiplied and is written larger

Multiple Choice

5² , in this example, 5 is the ______ and 2 is the _______

• base, product

• exponent, base

• base, exponent

• product, base

Multiple Choice

The exponent tells me...

• the answer

• the trick

• the number of times to multiply the base (factor)

• The number of days in a week

Multiple Choice

The base number in 3⁵ is

• 3

• 5

Multiple Choice

The exponent in 4² is

• 4

• 2

Multiple Choice

In the exponent 3⁴, the three represents____________ ?

• power

• base

• exponent

• integers

WAYS OF WRITING NUMBERS

Exponential --> a number raised to a power EXAMPLE: 2⁵

Expanded --> way of writing a number as the product of its factors EXAMPLE: 2x2x2x2x2

Standard --> Usual way of writing a number EXAMPLE: 32

Multiple Choice

Write the following in Exponential Form

7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

• 9⁷

• 7⁹

• 40,353,607

Multiple Choice

Write the following in Exponential Form

4 x 4 x 4 x 4 x 4

• 4⁵

• 5⁴

• 1,024

Prime Factorization

FACTOR--> a number being multiplied; value that goes into another value

PRIME --> a number with only two factors , 1 and itself EXAMPLE: 2, 3, 5, 7, 29

COMPOSITE --> a number with more than two factors EXAMPLE: 4, 6, 21, 33

PRIME FACTORIZATION --> way of writing a number as the product of its prime factors; written least to greatest and uses exponents when need

Multiple Choice

13

• Prime

• Composite

Multiple Choice

65

• Prime

• Composite

Multiple Choice

21

• Prime

• Composite

Multiple Choice

17

• Prime

• Composite

Multiple Choice

6

• Prime

• Composite

Multiple Choice

Using a Factor Tree, find the prime factorization of 54.

• 3² x 6
• 3³ x 2
• 2³ x 3
• 9 x 6

Multiple Choice

Using a Factor Tree, find the prime factorization of 24.

• 2³ x 3

• 2² x 3 x 4

• 2² x 3

• 3 x 8

Multiple Choice

Use a number tree to find the prime factorization of 105

• 3 x 5 x 7

• 3 x 5 x 11

• 1 x 2 x 5 x 7

• 2 x 3 x 5 x 7

Multiple Choice

Using a Factor Tree, find the prime factorization of 75.

• 3 x 5²

• 3 x 5 x 5

• 3² x 5

• 5 x 15

GCF and LCM

a common factor is a number that can divide at least two factors

GREATEST COMMON FACTOR --> largest number that can divide at least two factors

you can list out the factors to find GCF or use the L Method

Multiple Choice

GCF of 24 and 48

• 3
• 6
• 12
• 24

Multiple Choice

GCF of 32 and 40

• 2
• 4
• 6
• 8

Multiple Choice

GCF of 12 and 18

• 3
• 4
• 6
• 2

Multiple Choice

GCF of 10 and 12

• 5
• 2
• 3
• 6

Multiple Choice

GCF of 4 and 6

• 2
• 3
• 4
• 6

LCM

a common multiple is a number that at elast two numbers share (SKIP COUNTING)

LEAST COMMON MULTIPLE: smallest multiple at least two numbers share

TO FIND LCM: list out the the numbers ( skip count by that number) OR use L Method

Multiple Choice

What is the least common multiple (LCM) of 8 and 5?

• 50
• 40
• 5
• 8

Multiple Choice

What is the least common multiple (LCM) of 15 and 2?

• 30
• 2
• 45
• 152

Multiple Choice

What is the LCM of 7 and 8? 

• 7
• 8
• 42
• 56

Multiple Choice

What is the LCM of 4 and 12? 

• 4
• 8
• 12
• 16

Multiple Choice

What is the LCM of 3 and 6? 

• 3
• 6
• 12
• 15

DISTIBUTIVE PROPERTY

multiply the number outside the parenthesis to EVERYTHING inside

EXAMPLES

• Numerical

• Algebraic

Multiple Choice

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

What is the simplified version of this expression?  $7\left(5x-1\right)$  

•  $35x+7$  

•  $35x-1$  

•  $35x-7$  

•  $-35x-7$  

Multiple Choice

2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Multiple Choice

3(2c - 5)

• 6c - 15
• 6c + 15
• 6c + 15
• -6c - 15

COMBINE LIKE TERMS

term: number, variable, coefficient, or the product of a number and a variable

coefficient: number being multiplied by variable

variable: a letter that represents an unknown

LIKE TERMS: have the same variable, same exponent but different coefficients and signs

Multiple Choice

5x + 3x - 9

• 7x - 9

• 17x

• 8x - 9

• -x

Multiple Choice

8y + 5 - 2y

• 6y + 5

• 11y

• 10y + 5

• 15y

Multiple Choice

Simplify: n + n

• 2n

• n

• n²

• 0

Multiple Choice

Simplify: 6m - 4m

• 2m

• 10m

• 10m²

• 2 +2m

Multiple Choice

Simplify: 3r + 17r

• 20r

• 51r

• 20r²

• 14r

Equivalent Fractions

equal or same value

Equivalent Fractions: fractions that are equal

Different name for same size parts

The goal is to simplify values to determine if things are equal

TO MAKE MORE THAN ONE EQUIVALENT FRACTION --> Multiply or divide the numerator and denominator by the same number

Multiple Choice

Which fraction is equivalent to 3/5 ?

• 12/22

• 9/20

• 9/15

• 12/21

Multiple Choice

Which fraction is equivalent to 1/4 ?

• 4/6

• 5/20

• 4/5

• 6/18

Multiple Choice

Which fraction is equivalent to 9/18 ?

• 1/4

• 1/2

• 1/3

• 19/18

Multiple Choice

Which fraction is equivalent to 1/2 ?

• 7/16

• 10/19

• 6/12

• 3/5

Multiple Choice

Which fraction is equivalent to 3/4 ?

• 9/16

• 2/3

• 6/9

• 9/12