Which property is being shown?

3•5=5•3

The Commutative Property of Multiplication is being shown.

17•1=17 is an example of which property?

This is an example of the Multiplicative Identity Property.

Which property is being shown?

35 + 0 = 35

The Additive Identity Property is being shown.

3(14-9)=3•14-3•9 is an example of which property?

This is an example of the Distributive Property.

(5+6)+4=4+(5+6) is an example of which property?

This is an example of the Commutative Property of Addition.

Which example is showing the Associative Property?

a)  7 + 5 = 5 + 7

b)  6 + 0 = 6

c)  -2 + 2 = 0

d)  7 + (5 + 1) = (7 + 5) + 1

Answer d is showing the addends being regrouped.

Which example is showing the Identity Property?

a)  7 • 1 = 7

b)  12 • 0 = 0

c)  ¼ • 4 = 1

d)  5(3 + 2) = 5 • 3 + 5 • 2

Answer a shows that multiplying by 1 keeps the value the same.

Which example is correctly showing the Distributive Property?

a)  4(3 + 9) = 4 • 3 + 9

b)  (7 - 2)5 = 35 - 10

c)  10 +(3 • 7) = 10 + 3 • 10 + 7

d)  12(8 - 3) = 12 • 8 - 3

Answer b is showing the 7 being multiplied to both numbers in the parentheses.

Which example is showing the Identity Property being applied?

a)  4 + 5 +0 = 9 + 0

b)  (7 + 1) • 1 = 8 • 1

c)  -4 + 4 = 0

d)  5 + 6 • 1 - 9 = 5 + 6 - 9

Answer d shows that multiplying by 1 results in the original number.

Which example is showing the Inverse Property being applied?

a)  ½(2) + 9 + 4 = ½(2) + 4 + 9

b)  7 + (-5) + 5 = 7 + 5 + (-5)

c)  6(-4 + 4) = 6 • 0

d)  (¼ • 4) • 5 = ¼ • (4 • 5)

Answer c is showing that adding opposites gives you zero.

Fill in the blank:  6+43=___+6.

43 goes in the blank.

Fill in the blank:  93•___=93.

The answer is 1.

Fill in the blank:  65•___=0

0 is the other factor.

Fill in the blank:  4•___=1.

¼ is the answer because the two factors are reciprocals.

Fill in the blank:  ___+24=6(5+4).

30 is the product of 6 and 5 when the Distributive Property is applied.

What property was applied in step 5?

(8 + 5 + —8) • (½ • 2)

                              step 1

(8 + —8 + 5) • (½ • 2)

                              step 2

        (0 + 5) • (½ • 2)

                              step 3

                5 • (½ • 2)

                              step 4

                5 • 1

                              step 5

                  5

The Multiplicative Identity Property was applied in step 5.

What property was applied in step 1?

(8 + 5 + —8) • (½ • 2)

                              step 1

(8 + —8 + 5) • (½ • 2)

                              step 2

        (0 + 5) • (½ • 2)

                              step 3

                5 • (½ • 2)

                              step 4

                5 • 1

                              step 5

                  5

The Commutative Property of Addition was applied in step 1.

What property was applied in step 3?

(8 + 5 + —8) • (½ • 2)

                              step 1

(8 + —8 + 5) • (½ • 2)

                              step 2

        (0 + 5) • (½ • 2)

                              step 3

                5 • (½ • 2)

                              step 4

                5 • 1

                              step 5

                  5

The Additive Identity Property was applied in step 3.

What property was applied in step 2?

(8 + 5 + —8) • (½ • 2)

                              step 1

(8 + —8 + 5) • (½ • 2)

                              step 2

        (0 + 5) • (½ • 2)

                              step 3

                5 • (½ • 2)

                              step 4

                5 • 1

                              step 5

                  5

The Additive Inverse Property was applied in step 2.

What property was applied in step 4?

(8 + 5 + —8) • (½ • 2)

                              step 1

(8 + —8 + 5) • (½ • 2)

                              step 2

        (0 + 5) • (½ • 2)

                              step 3

                5 • (½ • 2)

                              step 4

                5 • 1

                              step 5

                  5

The Multiplicative Inverse Property was applied in step 4.

Barry found the area of a rectangle by multiplying the length by the width.  Robin found the area by multiplying the width by the length.  Which property states that both of them will get the same answer?

The Commutative Property of Multiplication states that the order of the factors does not affect the product.

Simon says, "Last year I won $0 in the raffle.  This year I plan on winning 1000 times more than that."  Which property would show Simon's winnings this year?

The Multiplicative Property of Zero tells us that Simon will win $0 again this year.

Jayne needs to find the product of 2, 25, 5, and 4.  She knows that 2•5=10 and 25•4=100 and knows that these are easy numbers to use in multiplication.  What two properties allow her to rearrange the numbers and then regroup them? 

The Commutative Property of Multiplication and the Associative Property of Multiplication allow Jayne to do this.

Lisa and Bryan's mother says that she will double the amount of money they have saved for a video game.  To calculate how much money they have, Lisa combines their total and then doubles it.  Bryan doubles his money and doubles Lisa's money and then combines them.  Which property shows that they will get the same total?

The Distributive Property shows this.

Steven answered the first question of the game incorrectly and lost 5 points.  He answered the second question correctly and earned 5 points.  Which property would be applied to show Steven's current score?

The Additive Inverse Property shows that adding opposites has a sum of zero.

What three properties were applied in step 2 to simplify the expression?

5(-3 + 3 + 1)

   5(0 + 1)

       0 + 5

        5

Step 1 shows the Additive Inverse Property.

Step 2 shows the Distributive Property, Multiplicative Property of Zero, and Multiplicative Identity Property.

Step 3 shows the Additive Identity Property.