Math Review

LCM and GCF

distributive property/ factoring

exponents

fraction/decimal
/percents

Back to the Basics

100

Define GCF

- Greatest Common Factor

- "the parents" in the family of numbers

- ex. GCF of 12 and 36

12-> 1, 2, 3, 4, 6, and 12

36-> 1, 2, 3, 4, 6, 9, 12, 18, and 36

common-> 1, 2, 3, 4, 6, and 12

GCF= 12

100

distributive property includes which two of the four operations:

subtraction, addition, multiplication, and division

addition and multiplication

100

Evaluate: 4 x 4 x 4 x 4 x 4=

4^{5 =}1,024

100

rewrite 3/10 with a denominator of 100.

=30/100

3 x 10 = 30

10 x 10 = 100

100

add 29 +73=

= 102

200

Define LCM

- Least Common Multiple

- "the children" of the family of numbers

- ex. LCM of 15 and 60

60-> 60, 120, 180, and 240

15-> 15, 30, 45, 60, and 75

common-> 60

LCM= 60

200

5 (6 + 2)=

(5 x 6) + (5 x 2) =

30 + 10= 40

200

how do you read 9² out loud?

"nine squared"

"nine to the power of two" or

"nine to the second power"

200

write 2/5 with a denominator of 100.

= 40/100

2 x 20= 40

10 x 10 = 100

200

subtract 48 - 32=

= 16

300

GCF of 24 and 36=

24-> 1, 2, 3, 4, 6, 8, 12, and 24

36-> 1, 2, 3, 4, 6, 9, 18, and 36

common-> 1, 2, 3, 4, and 6

GCF= 6

300

3 (9+8)=

(3 x 9) + (3 x 8)=

27 + 24= 51

300

6³=

216

300

write 0.375 as a decimal.

=37.5%

(move decimal 2 places to the right->)

300

16 - (-8) =

= 32

(2 negatives, or subtracting a negative -> implies that you are now adding)

400

LCM of 3 and 8=

3-> 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30

8-> 8, 16, 24, and 32

LCM= 24

400

factor using GCF: 18 +24

factors:

18-> 1, 2, 3, 6, 9, 18.

24-> 1, 2, 3, 4, 6, 8, 12, 24.

GCF= 6

18/6 = 3 ; 24/6 = 4

answer: 6(3+4)

400

2⁵=

400

write 64% as a decimal.

= 0.64

( move decimal 2 places to the left <-)

400

multiply. 19 x 15=

= 285

500

LCM and GCF of 6 and 18=

factors:

6-> 1, 2, 3, 6.

18-> 1, 2, 3, 6, 9, 18.

GCF= 6

multiples:

6-> 6, 12, 18.

18-> 18, 36.

LCM= 18

500

factor using GCF:144 + 216

factors:

144-> 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 72, 144.

216-> 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.

GCF= 72

144/72= 2 ; 216/72= 3

answer = 72(2+3)

500

(-5)³=

=-625

(-5) x (-5)= 25

25 x (-5) = -625

500

write 0.22 as a fraction.

= 22/100

(2 decimal places, goes over 100.)

simplify!

GCF= 2

22/2= 11 ; 100/2= 50

answer: 11/50

500

divide. 180 / (-12)=

= (-15)