Question

Express 7/13 as a repeating decimal. Mark the repeating digits with a bar.

Answer 1

Convert 0.8¯¯¯ to a rational number.

Answer 2

To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by what number?(1 point)

Answer 3

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Answer 4

To express 7/13 as a repeating decimal, you divide 7 by 13:

7 ÷ 13 = 0.538461538461...

To indicate the repeating digits with a bar, the result is 0.538461 with the digits 538461 repeating indefinitely. So the decimal representation of 7/13 is 0.538461̅.

Answer 5

To convert 0.8¯¯¯ to a rational number, we can assign the repeating portion to a variable, let's say x:

x = 0.8¯¯¯

Now, to eliminate the repeating part, we can multiply both sides of the equation by 10 to move the decimal point one place to the right:

10x = 8.¯¯¯

Next, subtract the original equation from the one above:

10x - x = 8.¯¯¯ - 0.8¯¯¯
9x = 8

Solving for x:

x = 8/9

Therefore, 0.8¯¯¯ as a rational number is 8/9.

Answer 6

To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by 100 since 0.82¯¯¯¯¯ has two repeating digits.