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Evaluate expressions with multiplication and division

Evaluates whole-number numerical expressions involving multiplication and division, interpreting their structure as equal groups, comparisons, or sharing relationships rather than treating symbols as disconnected operations. The learner applies grouping symbols when present, performs multiplication or division from left to right when they occur at the same level, and uses the inverse relationship between the operations to check results; variables, exponents, fractions, and more advanced symbolic simplification are outside this scope.

Detailed Explanation: Evaluate expressions with multiplication and division

Multiplication and division have the same priority, so when they appear together without parentheses, solve from left to right. Think about what each operation means: division can mean sharing equally, and multiplication can mean making equal groups.

Example:

48÷6×348 \div 6 \times 3
  1. Start at the left:
48÷6=848 \div 6 = 8

This means sharing (48)(48) objects equally among 66 groups gives 88 objects in each group.

  1. Continue from left to right:
8×3=248 \times 3 = 24

This means 33 groups of 88 make (24)(24).

Therefore,

48÷6×3=2448 \div 6 \times 3 = 24

To check, use the inverse operation. Since (48÷6=8)(48 \div 6 = 8), check that (8×6=48)(8 \times 6 = 48). Also, since (8×3=24)(8 \times 3 = 24), check that (24÷3=8)(24 \div 3 = 8).

Learn by doing: Evaluate expressions with multiplication and division

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    Order of Operations - Add, Subtract, Multiply, Divide no Parentheses (5 Numbers)

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