Math Drills
Mixed Calculations with Decimals Review
5Calculation
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What this worksheet covers
The rules that multiplication and division come first, and that parentheses come first of all, are confirmed through three-term chains of multiplication and division, expressions with parentheses, and the distributive law. Word problems combining addition with division, subtraction with multiplication and similar pairs give practice at putting a whole situation into a single expression.
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Working 1.2 + 0.8 × 0.5 from left to right and answering 1 is the most frequent error, where the correct value is 1.6. In word problems the direction of the subtraction gets reversed, and answers turn up where the amount handed over is subtracted from the price when change was what the question wanted.
This unit is the stepping stone for grade 6, when Mixed Operations with Fractions and Decimals adds fractions into the mix. The four operations, gained one at a time up through Division of Decimals, are here made to combine freely within a single expression.
- Rules of Calculation (Expressions) · Distributive Law2 questions
- Rules of Calculation (Expressions) · Chain of Multiplication and Division, 3 Terms4 questions
- Rules of Calculation (Expressions) · Order of Operations, Multiplication and Division First4 questions
- Rules of Calculation (Expressions) · With Parentheses, Addition and Subtraction→Multiplication and Division2 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Mixed Calculations with Decimals”, shown with their answers.
(1)0.5 × 9.8 - 0.5 × 5.8 □
Answer: 2
(2)1.2 × 7.8 - 1.2 × 5.8 □
Answer: 2.4
(3)0.8 × 0.5 ÷ 0.4 □
Answer: 1
(4)0.4 × 0.9 ÷ 0.3 □
Answer: 1.2
(5)4.5 ÷ 0.5 × 0.4 □
Answer: 3.6
(6)0.6 ÷ 0.5 × 0.5 □
Answer: 0.6
(7)1.6 + 2.4 × 0.5 □
Answer: 2.8
(8)0.6 × 2.5 + 0.5 □
Answer: 2
(9)0.4 × 2.5 + 0.8 □
Answer: 1.8
(10)0.5 + 0.5 × 0.4 □
Answer: 0.7
(11)0.4 × (0.6 - 0.4) □
Answer: 0.08
(12)0.5 ÷ (0.6 + 0.4) □
Answer: 0.5
What to do next
More worksheets in this unit
Rules of Calculation (Expressions)Rules of Calculation (Expressions) Calculation (Chained × and ÷)
Rules of Calculation (Expressions)Rules of Calculation (Expressions) Calculation (× and ÷ First)
Rules of Calculation (Expressions)Rules of Calculation (Expressions) Calculation (With Parentheses)
Word Problems (1 Step)Word Problems (1 Step) Word Problems
Word Problems (2 Steps)Word Problems (2 Steps) Word Problems (Add-Divide, Multiply-Subtract)
Word Problems (2 Steps)Word Problems (2 Steps) Word Problems (Subtract-Divide, Multiply-Add)
