Factors/Multiples
GCF/LCM
Scientific Notation
Exponents
BEDMAS
100
5 multiples of 11
11, 22, 33, 44, 55
100
What is the GCF and LCM of 8 and 14?
GCF: 2
8: 1, 2, 4, 8
14: 1, 2, 7, 15
LCM: 56
8: 8, 16, 24, 32, 40, 48, 56
14: 14, 28, 42, 56
100
4 x 105 = ?
400, 000
100
32 + 10 = ?
9 + 1 = 10
100
6 ÷ 2 x (1 + 2)
6 ÷ 2 x (1 + 2)
= 6 ÷ 2 x (3)
= 3 x 3
= 9
200
What are all the factors of 20.
1, 2, 4, 5, 10 and 20
200
Pencils come in packages of 5. Erasers come in packages of 9. Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should Phillip buy?
LCM (5, 9) = 45
Pencils: 45 ÷ 5 = 9 packs of pencils
Erasers: 45 ÷ 9 = 5 packs of erasers
200
12, 000 in scientific notation
1.2 x 104
200
√225 = ?
15
200
(43 - 22)2 = ?
(43 - 22)2
= (64 - 4)2
= 602
= 3600
300
Adrian is thinking of a number. The number is a factor of 90 and a multiple of 9. Write down all the numbers that Adrian could be thinking of.
90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90
9, 18, 45, 90
300
Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets she can make?
GCF (16, 24) = 8
She can make 8 bouquets
300
78 million in scientific notation
7.8 x 107
300
93 - 23 = ?
729 - 8 = 721
300
(14 x 22 + 33) - 25 ÷ 4
= (1 x 4 + 27) - 32 ÷ 4
= (4 + 27) - 8
= 31 - 8
= 23
400
Write down all the factors of 42 that are not factors of 24.
42: 1, 2, 3, 6, 7, 14, 21, and 42
24: 1, 2, 3, 4, 6, 8, 12 and 24
7, 14, 21, 42
400
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?
LCM (75, 30) = 150
3000 ÷ 150 = 20
20 people received both free times.
400
1.588 x 105 = ?
1.588 x 100,000
= 158, 800
400
√144 + 53 - 34 = ?
12 + 125 - 81
= 137 - 81
= 56
400
10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2
10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2
= 10 ÷ (20 ÷ 4 x 5 ÷ 5) x 8 - 2
= 10 ÷ (5 x 5 ÷ 5) x 8 - 2
= 10 ÷ (5) x 8 - 2
= 2 x 8 - 2
= 16 - 2
= 14
500
Betty writes down two different factors of 64 and a multiple of 11. The three numbers add together to make 34. Write down the three numbers.
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Multiples of 11: 11, 22, 33, 44, 55
4 + 8 + 22 = 34
500
Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line?
LCM (7, 12) = 84
They will meet at the starting line in 84 minutes.
500
53,010,000 in scientific notation
5.301 x 107
500
√170 is between ____ and ____
√169 < √ 170 < √196
between 13 and 14
500
10 × 4 - 2 × (4² ÷ 4) ÷ 2 x 2 + 9
10 × 4 - 2 × (4² ÷ 4) ÷ 2 x 2 + 9
= 40 - 2 x (16 ÷ 4) ÷ 2 x 2 + 9
= 40 - 2 x (4) ÷ 2 x 2 + 9
= 40 - 8 ÷ 2 x 2 + 9
= 40 - 4 x 2 + 9
= 40 - 8 + 9
= 41