Division sentence

A division sentence is a number sentence that can be used to express division. Division sentences, along with number sentences involving the other operations, are typically used in the early stages of a child's education to introduce them to how the operations are typically expressed.

A division sentence, in more precise terms, is a type of equation that is limited to the operation of division. Equations are used widely throughout various areas of mathematics such as algebra, and the concept of number sentences can help a student develop a foundation for handling more generalized and complex equations.

Division sentences are made up of at least 3 terms: the dividend, divisor, and quotient, as shown in the figure below.

The dividend in a division sentence is the number that is being divided by the divisor, the number that divides the dividend. The result of a division problem is referred to as the quotient. Division can be denoted in a number of different ways, including using the "/" symbol. However, for the purposes of elementary division sentences, "÷" is the symbol that is typically used.

Practicing division with division sentences

Division sentences can be used along with other tools such as multiplication tables (since division is the inverse operation of multiplication) to practice division. One way to do this is to use division worksheets, which assumes the student already understands the concept of division and knows at least some division facts. In such a case, worksheets with division facts with missing parts can be used for practice.

Examples

1. 49 ÷ 7 = ?

49 ÷ 7 = 7


2. 72 ÷ ? = 9:

72 ÷ 8 = 9


3. ? ÷ 3 = 12:

36 ÷ 3 = 12

Another way to practice using division sentences is to have students write a division sentence given a word problem. This can help determine how well a student understands the concept of division while giving them practice constructing division sentences. They can also be used to help engage the student using examples that may be more applicable to them.

Example

If Tara has 15 pieces of candy and 4 friends to share them with evenly, how many pieces do each of them get between the 5 of them?

There are 15 pieces of candy (dividend) and 5 people (divisor) total, so the quotient, or number of pieces of candy each person gets is:

15 ÷ 5 = 3

Tara and each of her friends can have 3 pieces of candy each.