MATHEMATICS HIGH SCHOOL

Jake needs 9 pieces of rope that are each the same length. He cuts the pieces from a rope that is 8 yards long and uses up the whole piece of rope.How long is each piece of rope?
WRITE THE ANSWER AS A FRACTION AND DECIMAL.

Answers

Answer 1
Answer: 9 pieces of rope form an 8 yard long rope

Divide.

8/9 yards of rope.

8/9 is approximately 0.89.

So 8/9 yards of rope or 0.89 yards of rope.
Answer 2
Answer: ANSWERS
Each rope has a length of 8/9 yards, or 0.\overline{8} yards (repeating digit is 8).

EXPLANATION
Division can be used to solve this problem.

In general, the equation "a/b = c" models the following situation: If you have something that is a units long and you divide it into b equal parts, then each equal part will be c units long.

We have a rope that is 8 yards long and we need 9 equal pieces.
Divide 8 yards by 9 to get the length of each piece.

   \begin{aligned}{}^\text{length of}_\text{each piece}&= \frac{8\text{ yard}}{\text{9 piece} } \n&= 8/9 \text{ yards per piece} \n&= 0.\overline{8} \text{ yards per piece}\end{aligned}

Each piece is 8/9th of a yard or 0.\overline{8} yards long.

We can confirm this by adding the lengths of the nine equal pieces of rope back up to get the original length of the rope:

   \begin{aligned}\underbrace{(8)/(9) + (8)/(9) + (8)/(9) +(8)/(9) +(8)/(9) +(8)/(9) +(8)/(9) +(8)/(9) +(8)/(9)}_{\text{9 pieces, each of them 8/9th of a yard long}} &= 9 \cdot \left((8)/(9) \right) \n&= 8\end{aligned}

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Answers

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Answers

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Answers

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