Division of Integers Help

Division of Integers

Division can be represented in three ways:

1. The division box

Division of Integers

2. The division sign

16 ÷ 8 = 2

3. Fraction

Division of Integers

The rules for division of integers are the same as the rules for multiplication of integers.

Rule 1: To divide two integers with like signs, divide the absolute values of the numbers and give the answer a + sign .

Examples

Example 1

Divide (+24) ÷ (+6).

Solution 1

Divide 24 ÷ 6 = 4. Since both integers are positive, give the answer a + sign.

Hence, (+24) ÷ (+6) = +4.

Example 2

Divide (–18) ÷ (–2).

Solution 2

Divide 18 ÷ 2 = 9. Since both integers are negative, give the answer a + sign.

Hence, (–18) ÷ (–2) = +9.

Rule 2: To divide two integers with unlike signs, divide the absolute values of the integers and give the answer a – sign .

Examples

Example 3

Divide (–30) ÷ (+5).

Solution 3

Divide 30 ÷ 5 = 6. Since the numbers have unlike signs, give the answer a – sign. Hence, (–30) ÷ (+5) = –6.

Example 4

Divide (+15) ÷ (–5).

Solution 4

Divide 15 ÷ 5 = 3. Since the numbers have unlike signs, give the answer a – sign. Hence, (+15) ÷ (–5) = –3.

Division of Integers Practice Problems

Practice

Divide:

1. (–63) ÷ (–9)

2. (+45) ÷ (+5)

3. (+38) ÷ (–2)

4. (–20) ÷ (+10)

5. (–30) ÷ (–5)

Answers

1. +7

2. +9

3. –19

4. –2

5. +6

More practice problems for this concept can be found at: Integers Practice Test.

Division of Integers Help