SME
Grade 5 Math · Problem type
Evaluate expressions with parentheses
Use this for “(18 + 6) ÷ 4 =” and other parentheses before dividing.
Diagram
4 groups of 6
24 in all
This is an example. Type your own values to start a new problem.
(
First number inside
+
Second number inside
)
÷
Divisor
=
Result
Value inside the parentheses
worked out (not typed)
Formulas
18 + 6 = 24
First number inside + second number inside = value inside the parentheses
24 ÷ 4 = 6
Value inside the parentheses ÷ divisor = result
Assumptions
•
Work inside the parentheses first. Then divide.
•
Without the parentheses, 18 + 6 ÷ 4 would divide first: only the 6 would be shared.
•
Numbers inside to 50, dividing by 2 to 10.
Step-by-step
WE KNOW
First number inside: 18
Second number inside: 6
Divisor: 4
FIND
value inside the parentheses, result
Step 1 · Find value inside the parentheses
18 + 6 = ?
First number inside + second number inside = value inside the parentheses
Parentheses first: add the two numbers inside.
Value inside the parentheses = 24
Step 2 · Find result
24 ÷ 4 = ?
Value inside the parentheses ÷ divisor = result
Divide next: the value inside shared into equal parts.
Result = 6
Check
Put the numbers back in. Both sides should match.
18 + 6 = 24 ✓
6 × 4 = 24 ✓
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Numerical expressions and order of operations
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Interpret numerical expressions
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Numerical expressions and order of operations
Main lesson
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