Prime, Composite, Factors and Multiples
Words, Expression and value of the expression
Comparing
Finding the Products
Problem Solving
100
Prime or Composite
Identify each number as prime or composite. Then list all of its factors.
16
15
16 is a Composite number.
Factors of 16 are 1,2,4,8,16
15 is a Composite number.
Factors of 15 are 1,3,5,15
100
Show each expression described in words, the expression itself, and the value of the expression.
Words: 50 times the difference of 64 and 3
Expression: 50 x( 64- 3)
Value of the Expression: 3,050
100
Compare the two expressions using > , <, or =. For each, explain how you can determine the answer without calculating.
24 x (25+5) 
(25 +5) x 12
24 x (25+5) > (25 +5) x 12
24 x 30 is large the 30 x 12.
100
What is the product of 245 x 33?
What is the product of 45 x 65 ?
8,085
2,925
100
For a field trip, the school bought 35 sandwiches for $4.50 each and 45 bags of chips for $1.15 each. How much did the school spend in all?
$ 209.25
200
Identify each number as prime or composite. Then list all of its factors and multiples.
14
31
14 is a Composite number.
Factors of 14 are 1,2,7,14
31 is a Prime number.
Factors of 31 are 1,31
200
Show each expression described in words, the expression itself, and the value of the expression.
1) Expression: 12 x (5+25)
2) Words: Twenty- three times the sum of forty-five and fifty-five.
1) 12 x (5+25)
Words: twelve times the sum of five and twenty-five
Value of the expression: 360
2) Twenty-three times the sum of forty-five and fifty- five
Expression: 23 x (45+55)
Value of the expression: 2,300
200
Compare the two expressions using > , <, or =. For each, explain how you can determine the answer without calculating.
19 x 27 20 twenty-sevens minus 1 twenty-seven
18 x 9 3 eighteens, tripled
19 x 27 = 20 twenty-sevens minus 1 twenty-seven
18 x 9 = 3 eighteens, tripled
200
What is the product of 456 x 45 ?
What is the product of 45 x 39?
20,520
1,755
200
The school bought 58 notebooks for $5.50 each and 98 pencils for $1.50 each. How much did the school spend in all?
$466
300
Prime or Composite
Identify each number as prime or composite. Then list all of its factors.
9
17
10
9 is a Composite number.
Factors of 9 are 1,3,9
17 is a Prime number.
Factors of 17 are 1,17
10 is a Composite number.
Factors of 10 are 1,2,5,10
300
Show each expression described in words, the expression itself, and the value of the expression.
1) Words: Divide the difference between 900 and 250 by 4.
2) Words: The sum of 2 twelves and 4 threes.
3) Expression : 6 x (60- 20)
1) Divide the difference between 900 and 250 by 4.
Expression: (900 - 250)
4
Value of the expression: 162.5
2) The sum of 2 twelves and 4 threes
Expression: (2x 12) +(4 x 3)
Value of the expression 36
3) 6x (60-20)
Words: six times the difference between sixty and twenty.
Value of the expression: 240
300
Compare the two expressions using > , <, or =. For each, explain how you can determine the answer without calculating.
62 x (70+8) (70+8)x 26
18 x 9 20 nines minus 1 nine
9 x 13 8 thirteens
62 x (70+8) > (70+8)x 26
18 x 9 < 20 nines minus 1 nine
9 x 13 > 8 thirteens
300
What is the product of 34 x 21?
What is the product of 434 x 21?
What is the product of 4.13 x 37 ?
714
9,114
152.81
300
Sarah makes hair ties to sell at the craft fair. Each hare tie requires . 8 yards of ribbon.
At the hobby lobby, ribbon is sold by the foot. If Sarah wants to make 84 bows, how many feet of ribbon mush she buy?
1 yard = 3 feet
.8 x 3 = 2.4
2.4 x 84 = 201.60
400
Identify each number as prime or composite. Then list all of its factors and multiples up to five.
28
5
30
28 is a Composite number.
Factors of 28 are 1,2,4,7,14,28
Multiples of 28: 28,56,84,112,140
5 is a Prime number.
Factors of 5 are 1,5
Multiples of 5: 5, 10, 15, 20, 25
30 is a Composite number.
Factors of 30 are 1,2,3,5,6,10,15,30
Multiples of 30: 30,60,90 120,150
400
Show each expression described in words, the expression itself, and the value of the expression.
1) Words: The sum of 120 and 50 times 55.
2) Words: Three times the difference between 37.5 and 24.5
3) Expression: (4x25) - (3 x 25)
4) Expression: 3 x (44+6)
1) The sum of 120 and 50 times 55.
Expression: (120 +50) x 55
Value of Expression: 9,350
2) Three times the difference between 37.5 and 24.5
Expression: 3 x (37.5 - 24.5)
Value of Expression: 39
3) (4x25) - (3 x 25)
Words: The difference between 4 twenty- fives and 3 twenty-fives.
Value of Expression: 25
4) 3 x (44+6)
Words: Triple the sum of 44 and 6
Value of Expression: 150
400
Compare the two expressions using > , <, or =. For each, explain how you can determine the answer without calculating.
93 x (40+2) (40+2) x 39
19 x 9 20 nines minus 1 nine
61 x 25 60 twenty-fives minus 1 twenty- five
12 x9 3 twelves, tripled
93 x (40+2) > (40+2) x 39
19 x 9 = 20 nines minus 1 nine
61 x 25 > 60 twenty-fives minus 1 twenty- five
12 x9 = 3 twelves, tripled
400
What is the product of 35 x 29?
What is the product of 534 x 32?
What is the product of 5.23 x 41?
How are the products of 59 x 40 and 5.9 x 40 related?
1,015
17,088
214.43
59 x 40 value will be 10 times larger then 5.9 x 40
400
Sarah makes hair ties to sell at the craft fair. Each hare tie requires . 8 yards of ribbon.
At the hobby lobby, ribbon is sold by the foot. If Sarah wants to make 84 bows, how many feet of ribbon mush she buy?
If the ribbon costs 10 cents per foot, What is the total cost of the ribbon in dollars?
$20.16
500
Prime or Composite:
Identify each number as prime or composite. Then list all of its factors and up to five multiples.
12
19
22
21
7
12 is a Composite number.
Factors are 1, 2, 3, 4, 6, 12
Multiples of 12: 12, 24, 36,48,60
19 is a prime number.
Factors are 1, 19
Multiples of 19:19,38,57,76, 95
22 is a Composite number.
Factors are 1,2,11,22
Multiples of 22: 22,44,66,88,110
21 is a composite number.
Factors are 1, 3,7,21
Multiples of 21: 21,42,63,84,105
7 is a prime number
Factors are 1,7
Multiples of 7: 7,14,21,28,35
500
Show each expression described in words, the expression itself, and the value of the expression.
1) Expression: 18 x (18+5)
2) Expression: (640 +450) x 14
3) Words: 75 times the sum of 62 and 72
4) Words: 12 times the sum of 18 and 7
5) Words: Divide the difference between 1,800 and 400 by 4
1) 18 x (18+5)
Words: eighteen times the sum of eighteen and five.
Value of the Expression: 414
2) (640 +450) x 14
Words: The sum of 640 and 450 times 14
Value of the Expression: 15,260
3) Words: 75 times the sum of 62 and 72
Expression: 75 x (62+72)
Value of the Expression: 10,050
4) Words: 12 times the sum of 18 and 7
Expression: 12 x (18+7)
Value of the Expression: 300
5) Words: Divide the difference between 1,800 and 400 by 4
Expression: (1,800 - 400) 4
Value of the Expression: 350
500
Compare the two expressions using > , <, or =. For each, explain how you can determine the answer without calculating.
62 x (70+8) (70 +8) x 26
12 x 9 23 nines minus 1 nine
59 x 25 62 twenty-fives minus 1 twenty- five
12 x6 3 twelves, doubled
50 x5 50 fives minus 2 fives
62 x (70+8) > (70 +8) x 26
12 x 9 < 23 nines minus 1 nine
59 x 25 < 62 twenty-fives minus 1 twenty- five
12 x6 = 3 twelves, doubled
50 x5 > 50 fives minus 2 fives
500
What is the product of 74 x 32?
What is the product of 648 x 48?
What is the product of 6.74 x 45?
How are the products of 67x 80 and .67 x 80
related ?
How are the products of 79 x 30 and 7.9 x 30 related ?
2,368
31,104
303.3
67x 80 product is hundred time greater then .67 x 80. 67 x 80 = 5,360 .67 x 80 = 53.60
79 x 30 product is ten time greater then 7.9 x 30.
79 x 30 = 2,370 7.9 x 30= 237
500
Sarah makes hair ties to sell at the craft fair. Each hair tie requires . 8 yards of ribbon.
At the hobby lobby, ribbon is sold by the foot. If Sarah wants to make 84 bows, how many feet of ribbon much she buy?
A manufacturer is making 1,000 times as many bows as Sarah to sell in stores nationwide. Write an expression using exponents to show how many yards of ribbon the manufacturer will need.
t= 84 x 1000 x .8