The four operations with decimals

Calculate using decimal units and the operation, checking the decimal point and result size.

Meaning

Add or subtract decimal amounts in matching units. In multiplication and division, determine the decimal point using the sizes represented by the numbers.

Example

is or 0.96.For multiplication, : multiplying the units gives hundredths. For multiply both numbers by 10 to obtain The same scaling preserves the quotient; check Align decimal points for addition and subtraction. Multiplication does not use a rule of simply aligning decimal points vertically.

Practice for this concept

Scope and references

Topics

Decimal-point position, aligning places, operations with decimals and natural numbers, operations between decimals

Learning goal

Calculate using decimal units and the operation, checking the decimal point and result size.

Helpful background

Connect units of the same place value with natural-number operations as needed.

Adding and subtracting decimals

Does not include negative differences or every decimal place.

Multiplying a decimal by a natural number

Does not include multiplying two decimals.

Dividing a decimal by a natural number

Does not include division by a decimal.

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