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Grade 4 Math Problem: Calculate Total Limo Length with Added Bumper
Mathematics
Grade 4 of Primary School
Question Content
The limo measured 19 feet 6 inches; then the driver added a special back bumper that was 1 foot 3 inches long (just to keep the photographers even farther back). How many feet long is the limo now, if you include the new back bumper?
Correct Answer
20.75 feet or 20 feet 9 inches
Detailed Solution Steps
1
Step 1: Add the inch measurements first. 6 inches + 3 inches = 9 inches.
2
Step 2: Add the foot measurements. 19 feet + 1 foot = 20 feet.
3
Step 3: Combine the two results to get the total length in feet and inches: 20 feet 9 inches.
4
Step 4 (optional, to convert to decimal feet): Since 1 foot = 12 inches, divide 9 by 12, which equals 0.75. Add this to 20 feet to get 20.75 feet.
Knowledge Points Involved
1
Customary Unit Conversion (Length)
In the US customary system, 1 foot equals 12 inches. This conversion is used to switch between inches and feet, often to express length in a single unit. It is applied when adding or comparing lengths with mixed units of feet and inches.
2
Adding Mixed Units of Length
When adding lengths with two different units (feet and inches), you first add the smaller units (inches) together, then add the larger units (feet). If the total of the smaller units exceeds the number needed to make one larger unit, you convert the excess to the larger unit and add it to the total of the larger units.
3
Decimal Conversion of Customary Units
To convert inches to a decimal of a foot, divide the number of inches by 12 (since 1 foot = 12 inches). This allows for expressing length as a single decimal value in feet, which is useful for more precise calculations or standardized measurements.
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