SME
Grade 6 Math · Problem type
Order of operations with exponents
Use this for “Find the value of 4 + 5 × 2³”: exponents first, then multiply, then add.
Table
Base
Value
This is an example. Type your own values to start a new problem.
a
+
b
×
c
=
v
Formulas
4
+
5
×
2
3
=
44
Number added + number multiplied × base to the exponent = value
Assumptions
•
Parentheses first, then exponents, then × and ÷, then + and −, left to right.
•
The exponent belongs to the number just before it: 3 × 4² squares only the 4.
•
Numbers to 100, 20 and 10; the exponent is 2 or 3.
Step-by-step
WE KNOW
Number added: 4
Number multiplied: 5
Base: 2
Exponent: 3
FIND
value
Step 1 · Find value
4
+
5
×
2
3
=
?
Number added + number multiplied × base to the exponent = value
Exponent first, then multiply, then add.
2
3
=
2
×
2
×
2
=
8
4 + 5 × 8 = 4 + 40
4 + 40 = 44
Value = 44
Check
Put the numbers back in. Both sides should match.
4
+
5
×
2
3
=
44
✓
Topic check
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