Solve Division Equations with Decimals

Main concept

Solve division equations with decimals by isolating the variable Inverse of division is multiplication

Main idea

Multiply both sides by the decimal divisor to isolate the variable

Equation

Math sentence with equal sign

Inverse operation

Undoes another operation

Inverse of division

Multiplication

Example 1

i ÷ 0.49 = 3 → i = 1.47

Example 2

x ÷ 0.25 = 7.2 → x = 1.80

Multiplying decimals short note

Ignore decimals multiply like whole numbers Count total decimal places Move decimal left that many places

Example of multiplying decimals

4.7 × 0.34 → 47 × 34 = 1598 → move 3 places → 1.598

Decimal places quick note

Count how many digits are after the dot Example 5.5 has 1 place 5.50 has 2 places 0.125 has 3 places

Multiply rule

Ignore decimals multiply like normal Count total decimal places Move decimal that many places left

Remember

Multiply both sides by the divisor Line up decimals Check your answer

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