Which property is being shown?

3•5=5•3

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

Which property is being shown?

35 + 0 = 35

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

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

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

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

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

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

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)

Fill in the blank:  6+43=___+6.

Fill in the blank:  93•___=93.

Fill in the blank:  65•___=0

Fill in the blank:  4•___=1.

Fill in the blank:  ___+24=6(5+4).

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

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

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

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

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

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?

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?

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? 

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?

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 Commutative Property of Multiplication is being shown.

This is an example of the Multiplicative Identity Property.

The Additive Identity Property is being shown.

This is an example of the Distributive Property.

This is an example of the Commutative Property of Addition.

Answer d is showing the addends being regrouped.

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

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

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

Answer c is showing that adding opposites gives you zero.

43 goes in the blank.

The answer is 1.

0 is the other factor.

¼ is the answer because the two factors are reciprocals.

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

The Multiplicative Identity Property was applied in step 5.

The Commutative Property of Addition was applied in step 1.

The Additive Identity Property was applied in step 3.

The Additive Inverse Property was applied in step 2.

The Multiplicative Inverse Property was applied in step 4.

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

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

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

The Distributive Property shows this.

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