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Chapter 5: Q51. (page 225)

Write the decimal as a fraction or mixed number.

-0.4炉

Short Answer

Expert verified

The fraction is -49.

Step by step solution

01

Step 1. Given information

Consider, the decimal -0.4炉 provided in question

02

Step 2. Calculation 

Let x=-0脳4炉

x=-0路4444..... 鈥︹�� (1)

Clearly, 4 is the only digit which is repeating in equation (1)

Multiply equation (1) by 10 on both sides,

10x=-4路4444..... 鈥︹�� (2)

Subtract equation (1) from equation (2),

10x鈭�x=(鈭�4鈰�4444...)鈭�(鈭�0鈰�4444...)9x=鈭�4x=鈭�49

Thus, the fraction number that can be formed is -49.

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Most popular questions from this chapter

Copy and complete the statement using always, sometimes, or never.

A repeating decimal is _______ a rational number.

Show that the number is rational by writing it as a quotient of two integer.

-2

Write the decimal as a fraction or mixed number.

-1.102

Extended Problem Solving The table shows the number of at bats and hits that players on a softball team had in three games.

  1. Find the total number of at bats and the total number of hits for each player for the three games.

Recycling The table shows monthly amounts of trash and recycled trash at a school.

  1. For each month. find the fraction of trash that was recycled.
  2. Use a calculator to write the fractions in part (a) as decimals. Order the decimals from least to greatest. In which month was the fraction of trash that was recycled the greatest?
  3. As of January 1, a new recycling plan was introduced at the school. What effect do you think the plan had on recycling efforts in January and the months that followed? Explain.
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