Sandy is working with a carpenter to frame a house. They are using 8-foot-long boards, but each board must be cut to be 94.6 inches long. How much is cut off each board? (1 foot = 12 inches)
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Answer:
1.4 inches is cut off each board
Explanation:
We have a mixture of units. It is much easier to make a comparison if all measurement use the same units. I choose inches
1 board is 8 ft. Each foot has 12 inches in it. So they are
8
×
12
inches long. This is 96 inches.
The boards are cut to 94.6 inches long.
The amount wasted is
96.0
−
94.6
Write as:
96.0
94.6
−−−−
There is a zero above the 6 so lets make this easier to work out
Move the value of 1 from the 96 into the tenths so we have
96
is the same as
95
+
10
10
→
95
.
0
10
95
.
0
10
94
.
.
.
6
−−−−−−
←
Subtract
9
1
.
00
4
So the amount of waste is 1.4 inches
This is the same as
1
4
10
→
1
2
5
inches
Hope it helps
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