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Problem #61 · September 26, 2026
Order of operations
Find the value of the expression.
24
⋅
9
+
16
⋅
9
−
40
⋅
5
24 \cdot 9 + 16 \cdot 9 - 40 \cdot 5
24
⋅
9
+
16
⋅
9
−
40
⋅
5
A
✓
160
160
160
B
360
360
360
C
200
200
200
D
180
180
180
WORKED EXAMPLE
Solution
24
⋅
9
+
16
⋅
9
=
(
24
+
16
)
⋅
9
=
40
⋅
9
=
360
24\cdot9+16\cdot9=(24+16)\cdot9=40\cdot9=360
24
⋅
9
+
16
⋅
9
=
(
24
+
16
)
⋅
9
=
40
⋅
9
=
360
and
40
⋅
5
=
200
40\cdot5=200
40
⋅
5
=
200
. Therefore,
360
−
200
=
160
360-200=160
360
−
200
=
160
. More briefly:
40
⋅
(
9
−
5
)
=
40
⋅
4
=
160
40\cdot(9-5)=40\cdot4=160
40
⋅
(
9
−
5
)
=
40
⋅
4
=
160
.
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