# Carpentry & Building Construction

## Math Activities :

### Self-Check Math Activity 1

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Carpentry jobs require using a ruler or steel tape to measure distance for width, length, height, or depth. A ruler is used for finding smaller distances. Carpenters use a steel tape to measure framing lumber, trim, or wall insulation. Inside measurements can be made accurately using the steel tape.

Distances are measured to the nearest 1/16th of an inch. To find a distance, first measure to the nearest foot. From there, measure to the nearest inch, and then to the nearest 1/16“. Reduce fractions of an inch to lowest terms. Lowest terms means that the numerator (top number) and the denominator (bottom number) cannot be divided by a common number. The fraction 6/8 is reduced to lowest terms, 3/4, by dividing the numerator and denominator by 2.

 Terms, Symbols, & Abbreviationsft. = foot or feet' = foot or feetin. = inch or inches" = inch or incheslowest terms - describes a fraction in which the numerator and denominator cannot be divided by a common number

Practice Exercise

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Follow these steps to determine distance A on the ruler above.

Step 1 Number of feet = 4
Step 2 Number of inches = 1
Step 3 Number of sixteenths = 2
Step 4 In lowest terms, 2/16“ = 1/8''. The top and bottom numbers (2 and 16) were divided by 2. The distance measured = 4' 1 1/8"

Problem Exercises

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 1 The distance for A on the ruler is A) 4/8“ B) 4/16“ C) 1/2“ D) 1/2'

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 2 The distance for B on the same ruler is A) 2 3/8“ B) 2 1/2“ C) 2 5/16“ D) 2 3/16“

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 3 Before reducing to lowest terms, the distance for C on the ruler is A) 3/4“ B) 3 3/4“ C) 3 3/16“ D) 3 12/16“

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 4 Measure distance D in lowest terms. A) 46' 1/4“ B) 3' 10 1/4“ C) 3' 10 4/16“ D) 4' 10 4/16“

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 5 Find distance E and reduce the measurement to lowest terms. A) 42“ B) 51“ C) 4' 2'' D) 4' 50''