Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 0.5, Problem 46E
To determine

To find: The number of boards, each 2 feet 8 inches long, can be cut from a board 16 feet long.

Expert Solution & Answer
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Answer to Problem 46E

6 boards, each 2 feet 8 inches long, can be cut from a board 16 feet long.

Explanation of Solution

Given information:

A board which is 16 feet long from which smaller boards each 2 feet 8 inches long can be cut.

Formula used:

Conversion rule of converting feet into inches which can be mathematically expressed as,

  1 feet = 12 inches

Division in real numbers is multiplication by reciprocal. If b0 , then,

  a÷b=a(1b)=ab

Here, 1b is the multiplicative inverse.

Calculation:

Consider the given statement “A board which is 16 feet long from which smaller boards each 2 feet 8 inches long can be cut.”

Recall conversion rule of converting feet into inches which can be mathematically expressed as,

  1 feet = 12 inches

So, 2 feet 8 inches will be evaluated as when 2 is multiplied to 12 and 8 is added to it.

So, 2 feet 8 inches is calculated as,

  2 feet  8 inches =[ (212)+8] inches=32 inches

And 16 feet will be calculated as,

  1 feet = 12 inches16 feet = 1612 inches=192 inches

Now, the number of boards, each 2 feet 8 inches long, can be cut from a board 16 feet long,

will be evaluated when 192 is divided by 32 .

Recall that the division in real numbers is multiplication by reciprocal. If b0 , then,

  a÷b=a(1b)=ab

Here, 1b is the multiplicative inverse.

So, number of boards, each 2 feet 8 inches long, can be cut from a board 16 feet long,

is calculated as,

  192÷32=192132=32632=6

Thus, 6 number of boards, each 2 feet 8 inches long, can be cut from a board 16 feet long,

Chapter 0 Solutions

Algebra 1

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