Multiplication and Division Vocabulary

Multiplication and Division Vocabulary

We are learning about vocabulary pertaining to both multiplication and division today. Since multiplication and division are inverse operations, it's important to learn the vocabulary all at once.

Vocabulary

You will receive notes to glue into your interactive notebook when we return to school. In the meantime, go through this lesson as an introduction to the vocabulary. We do not expect mastery. We will do a quick check at the end to review some of the major vocabulary words.

Multiplication

Making equal groups to find the total

Factors & Product

Factors are the numbers being multiplied and the product is the answer to a multiplication problem. Remember - FACTORies make PRODUCTs.

Partial Products

Parts of the product that are found when you multiply the expanded form of a number

Array

A rectangular model of a multiplication problem

Area Model

Models multiplication by showing the two factors as the length and width of a rectangle

Associative Property of Multiplication

You can group factors differently with parentheses and you will still have the same product.

Commutative Property of Multiplication

You can change the order of the factors and you will still have the same product.

Distributive Property of Multiplication

You can break a number apart into its expanded form and then multiply it by the other factor. You will get the same product.

Identity Property of Multiplication

Any number multiplied by 1 remains the same number.

Zero Property of Multiplication

Any number multiplied by zero is zero.

Perfect Square

A perfect square is the product of identical factors.

Numerical Expression

A numerical expression shows an operation, but does not have an equal sign.

Division

Separating a total into equal groups or taking out equal groups

Quotient

The answer to a division problem

Remainder

The amount left over after all of the equal groups are made

Dividend

The "total amount" that is evenly divided in the problem

Divisor

The number we are dividing by in a division problem; it could be the number of groups or the group size depending on the situation.

Compatible Numbers

Compatible numbers are easy to compute in your head when estimating.

Strip Diagram

Strip diagrams are visual models (similar to bar models) that represent a problem situation.

Unknown Quantity

The unknown quantity can be represented with a variable. It is a number we don't know yet.

Multiples

When we list multiples, we are skip counting. For example, the first five multiples of 2 are 2, 4, 6, 8, and 10.

Prime Numbers

Prime numbers only have 2 factors: 1 and themselves. For example, 5 is a prime number because its only factors are 1 and 5.

Composite Numbers

Composite numbers have more than two factors: 1, themselves, and at least one other factor.

Multiple Choice

15 x 63 is an example of ___.

• Division

• Addition

• Subtraction

• Multiplication

Multiple Choice

The numbers that are multiplied together are called ___.

• Factors

• Products

Multiple Choice

The answer to a multiplication problem is called the ___.

• Factor

• Product

Multiple Choice

A rectangular model of a multiplication problem is called ____.

• a composite number

• an array

Multiple Choice

When we separate a total into equal groups, what operation are we performing?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

The factors of 7 are 1 and 7. Seven is an example of a ___ number.

• prime

• composite

Multiple Choice

The factors of 8 are 1, 2, 4, and 8. Eight is an example of a ___ number.

• prime

• composite