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.
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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:
- Start at the left:
This means sharing objects equally among groups gives objects in each group.
- Continue from left to right:
This means groups of make .
Therefore,
To check, use the inverse operation. Since , check that . Also, since , check that .
Learn by doing: Evaluate expressions with multiplication and division
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Practice:
Order of Operations - Add, Subtract, Multiply, Divide no Parentheses (5 Numbers)
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Download/Modify Free Grade 4 'Evaluate expressions with multiplication and division' Worksheet
Print this free 'Evaluate expressions with multiplication and division' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Order of Operations - Add, Subtract, Multiply, Divide no Parentheses (5 Numbers)
- Order of Operations - Add, Subtract, Multiply, Divide with Parentheses (3 Numbers)
- Order of Operations - Add, Subtract, Multiply, Divide with Parentheses (5 Numbers)
- Order of Operations - Add, Subtract, Multiply, Divide with Parentheses (4 Numbers)
- Order of Operations Priority - Multiply, Divide with Parentheses
- Order of Operations - Add, Subtract, Multiply no Parentheses (3 Numbers)
- Order of Operations - Add, Subtract, Multiply with Parentheses (3 Numbers)
- Order of Operations - Add, Subtract, Multiply no Parentheses (5 Numbers)
Units Teaching This Skill
These adaptive units introduce, teach, or reinforce this skill (Evaluate expressions with multiplication and division) through scaffolded problems that grow in difficulty as concepts are understood.