Definition
Example Answers
How to Solve
Challenge
100

The sum of any number and zero is the original number

What is Identity Property of Addition?

100

Numeric: 9 + (-9) = 0

What is Additive Inverse Property?

100

When you change the grouping, it doesn't change the answer.

What is Associative Property?

100

If Sophia threw Zoe in the Violet Canal because she ate a lot of sugar, and we threw Zoe in multiplied with one other version of herself, how many Zoe's would be thrown in?

What is Zoe x 1 other Zoe= 1 Zoe (Identity of Multiplication)?

200

The order in which you add or multiply does not change your answer

What is Commutative Property?

200

Numeric: If 2/3 = 6/15 then 2(15) 3(6)

What is Cross Products property?
200

Multiply a number times one, and your answer will be that same number.

What is Identity Property of Multiplication?

200

Two teenage girls (us obviously) went to the Violet Canal. Zoe ran into the Tree of Disorder with 6 absurd branches. Sophia ran into the Tree of Disorder with 4 absurd branches. What would the answer be if they both threw the branches in the canal to be eaten by the Blub Blubs?

What is S(b - 4) Z(b - 6) =m x 4 = 4 - 6

300

The product of any number and zero is zero.

What is Multiplicative Property of Zero?

300

Numeric: If x/3 = 12, then x/3 = (12) 3

What is Equality Property of Multiplication?

300

Multiply a number by zero, and the answer is automatically zero.

What is Multiplicative Property of Zero?

300

In Chicken Jockey, Sophia went fishing in Lake Monroe, and fished out 6 Blub Blubs. She also caught 7 Bass. What is the Inverse?

What is 6/7 x 7/6 = 1.

400

Multiplying the term outside the parentheses by the numbers in the parentheses.

What is Distributive Property?

400

Numeric: 3/5 x 5/3 = 1

What is Multiplicative Inverse Property?

400

Divide the same number to each side of an equation.

What is Equality Property of Division?

500

Subtracting the number from each side of the equation keeps it equal.

What is Equality of Subtraction?

500

Algebraic: ax = b, then ax/a = b/a

What is Equality Property of Division?

500

Any number plus its opposite equals zero.

What is Additive Inverse?

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