Multiplication

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Multiplication Related Concepts

• PRACTICE TEST

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1.) Find the product mentally.300 x 500
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Find the product mentally.300 x 500
150,000 The number of zeros in the factors
equals the number of zeros in the product.
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2.) There are only a few exceptions to this
rule.For example, what is the following
product?40 x 500
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Extra Zero
40 x 500 20,000
3 zeros
3 zeros
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3.) Find the product mentally..2 x .3
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Find the product mentally..2 x .3 .06 The
number of digits to the right of the decimal
point in the factors must equal the number of
digits to the right of the decimal point in the
product.
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4.) Use pencil and paper to find the following
product.
5.16 x .45
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Use pencil and paper to find the following
product.
5.16 x .45 2580 20640 2.3220
Remember to use a placeholder on this row.
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5.) What number belongs on the third row of this
problem?
291 x413 873 2910 ______ 120,183
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What number belongs on the third row of this
problem?
291 x413 873 2,910 116,400 120,183
You need 2 place-holders on this row.
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6.) What is the standard form of53
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What is the standard form of53
5 x 5 x 5 125
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7.) The area of this rectangle can be expressed
as (4 x5) (4 x 6)
4
5 6

• What property does this show?
• Commutative
• Associative
• Distributive

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The area of this rectangle can be expressed as (4
x5) (4 x 6)
4
5 6

• What property does this show?
• Commutative
• Associative
• Distributive

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The area of this rectangle can be expressed as (4
x5) (4 x 6)
4
4 x 5
4 x 6
4
5 6
C) Distributive
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8) Which expression uses the distributive
property to find the product of 4 and 32?A) 4 x
(30 x 2)B) 40 x (3 2)C) 4 (30 x 2)D) 4 x
(30 2)
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Which expression uses the distributive property
to find the product of 4 and 32?A) 4 x (30 x
2)B) 40 x (3 2)C) 4 (30 x 2)D) 4 x (30 2)
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9) Which expression does NOT show how to
calculate the perimeter of the rectangle?
3

• 3 x 8
• 3 8 3 8
• 2 x (3 8)
• 3 x 2 8 x 2

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9) Which expression does NOT show how to
calculate the perimeter of the rectangle?
3

• 3 x 8 24
• 3 8 3 8 22
• 2 x (3 8) 22
• 3 x 2 8 x 2 22

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Remember, perimeter is the total distance around
the shape.
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3
3
8
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10) Evaluate the following expression3 x 4 5 x
6
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Evaluate the following expression3 x 4 5 x 6
12 30 42 Remember,
multiplication comes before addition in the order
of operations.
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11.) Evaluate the following expression(2 5)2
(2 3)2
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Evaluate the following expression(2 5)2 (2
3)2
72 - 52
Remember, parentheses come first in the order of
operations.
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Evaluate the following expression(2 5)2 (2
3)2
72 - 52
49 - 25 24
Remember, exponents come before subtraction in
the order of operations.
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12.) Evaluate the following expression3 x 10 ? 2
x 4
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Evaluate the following expression3 x 10 ? 2 x 4
30 ? 2 x 4
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Evaluate the following expression3 x 10 ? 2 x 4
30 ? 2 x 4
15 x 4 60
Remember, if there is only multiplication
division in the expression, then work left to
right.
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Order of Operations

• Please
• Excuse
• My Dear
• Aunt Sally

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Order of Operations

• Parentheses
• Excuse
• My Dear
• Aunt Sally

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Order of Operations

• Parentheses
• Exponents
• My Dear
• Aunt Sally

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Order of Operations

• Parentheses
• Exponents
• Multiplication Division
• Aunt Sally

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Order of Operations

• Parentheses
• Exponents
• Multiplication Division
• Addition Subtraction

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13.) After you press the following keys on your
calculator, you see 17 on the display.2 3 x 5
You press another sequence of keys and see 36
on the display. Which of the following key
sequences might you have used?

• 3 x 10 3 x 5
• 3 x 5 3 x 5
• 4 x 8 2 x 2
• 3 x 10 x 5

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After you press the following keys on your
calculator, you see 17 on the display.2 3 x 5
You press another sequence of keys and see 36
on the display. Which of the following key
sequences might you have used?

• 3 x 10 3 x 5 45
• 3 x 5 3 x 5 30
• 4 x 8 2 x 2 36
• 3 x 10 x 5 150

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14.) Which of the following numbers is a square
number?

• 2
• 9
• 12
• 20

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Which of the following numbers is a square number?

• 2
• 9
• 12
• 20

3
3
Area 32 3 x 3 9
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15) Which of the following numbers is a cubic
number?

• 3
• 6
• 8
• 15

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Which of the following numbers is a cubic number?

• 3
• 6
• 8
• 15

2
2
2
Volume 23 2 x 2 x 2 8
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16.) Draw the factor tree for the number 40.
Then write the prime factorization of 40 using
exponents when appropriate.
42
40

43
40
5 8
44
40
5 8
45
40
5 8
2 4
46
40
5 8
2 4
47
40
5 8
2 4
2 2
48
40
5 8
2 4
2 2
49
40
5 8
2 4
2 2
40 23 x 5
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17.) Draw the factor tree for 60. Then write the
prime factorization of 60 using exponents when
appropriate.
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60
52
60
6 10
53
60
6 10
3 2 2 5
54
60
6 10
3 2 2 5
55
60
6 10
3 2 2 5
60 22 x 3 x 5
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18.) Which of the following numbers is a prime
number?

• 4
• 5
• 8
• 9

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Which of the following numbers is a prime number?

• 4 2 x 2
• 5 1 x 5
• 8 2 x 2 x 2
• 9 3 x 3

The only way to make 5 is to do 1 times 5.
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19.) Which of the following numbers is composite?

• 7
• 11
• 15
• 19

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Which of the following numbers is composite?

• 7 1 x 7
• 11 1 x 11
• 15 3 x 5
• 19 1 x 19

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20.) Write the multiplication problem shown by
the picture.
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20.) Write the multiplication problem shown by
the picture.
.5 x .4 .20
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21.) Write the multiplication problem shown by
the picture.
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21.) Write the multiplication problem shown by
the picture.
.3 x .2 .06
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22) Which expression is equivalent to 3 x (R 7)

• 3R 7
• 3R 10
• 3R 21
• R 21

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22) Which expression is equivalent to 3 x (R 7)

• 3R 7
• 3R 10
• 3R 21
• R 21

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What you need to know for this test

• Multiply with whole numbers and decimals
• Distributive property
• Order of operations (Algebraic vs Arithmetic)
• Exponents (square cubic numbers)
• Factor Trees Prime Factorization (prime
  composite numbers)

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Study Hard!