Math Expressions Vocab

What is the divisor?

• The number that is divided in a division problem.

• Changing the grouping of factors does not change the product. In symbols, (a ⋅ b) ⋅ c = a ⋅ (b ⋅ c) for any numbers a, b, and c. Example: (0.73 ⋅ 0.2) ⋅ 5 = 0.73 ⋅ (0.2 ⋅ 5)

• Changing the order of factors does not change the product. In symbols, a ⋅ b = b ⋅ a for any numbers a and b. Example: 3 /7 ⋅ 4/ 5 = 4/ 5 ⋅ __

• The number you divide by in a division problem.

What is the distributive property of multiplication over addition?

• One of two or more numbers multiplied to get a product.

• Multiplying a number by a sum gives the same result as multiplying the number by each addend and then adding the products. In symbols, for all numbers a, b, and c: a × (b + c) = a × b + a × c Example: 4 × (2 + 0.75) = 4 × 2 + 4 × 0.75

• The result of a multiplication.

• The answer to a division problem.

What is a factor?

• One of two or more numbers multiplied to get a product.

• Multiplying a number by a sum gives the same result as multiplying the number by each addend and then adding the products. In symbols, for all numbers a, b, and c: a × (b + c) = a × b + a × c Example: 4 × (2 + 0.75) = 4 × 2 + 4 × 0.75

• The result of a multiplication.

• The answer to a division problem.

What is a product?

• One of two or more numbers multiplied to get a product.

• Multiplying a number by a sum gives the same result as multiplying the number by each addend and then adding the products. In symbols, for all numbers a, b, and c: a × (b + c) = a × b + a × c Example: 4 × (2 + 0.75) = 4 × 2 + 4 × 0.75

• The result of a multiplication.

• The answer to a division problem.

What is a quotient?

• One of two or more numbers multiplied to get a product.

• Multiplying a number by a sum gives the same result as multiplying the number by each addend and then adding the products. In symbols, for all numbers a, b, and c: a × (b + c) = a × b + a × c Example: 4 × (2 + 0.75) = 4 × 2 + 4 × 0.75

• The result of a multiplication.

• The answer to a division problem.

Simplify the following:  
-8 + (15 - 3) ÷ 4

• -5

• 1

• -11

• 11

-2 ⋅ (3 + 8 ÷ 4)²

• -16

• 1.375

• 4

• -50

3 x 8 - (9 - 7)³

• 16

• 18

• 0

4 + (3 ⋅ 2) ÷ 3⁰ =

• 14

• 4

• 2

• 10

What is the variable in 4x+3

• 3

• 4x

• 4x+3

• x