QuestionFind the decimal equivalents of these rational numbers: a. $\frac{7}{20}$ , b. $-\frac{23}{20}$ , c. $\frac{1}{18}$ , d. $-\frac{60}{22}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to convert each of the given rational numbers into decimal form. . The rational numbers are $-\frac{23}{20}$ , $\frac{7}{20}$ , $\frac{1}{18}$ , and $-\frac{60}{22}$ .

STEP 2

To convert a rational number into a decimal, we simply perform the division of the numerator by the denominator.
For the first rational number, $-\frac{23}{20}$ , we divide -23 by20.
$-\frac{23}{20} = -23 ÷20$

STEP 3

Perform the division to find the decimal equivalent of $-\frac{23}{20}$ .
$-\frac{23}{20} = -1.15$

STEP 4

Repeat the process for the second rational number, $\frac{7}{20}$ .
$\frac{7}{20} =7 ÷20$

STEP 5

Perform the division to find the decimal equivalent of $\frac{7}{20}$ .
$\frac{7}{20} =0.35$

STEP 6

Repeat the process for the third rational number, $\frac{1}{18}$ .
$\frac{1}{18} =1 ÷18$

STEP 7

Perform the division to find the decimal equivalent of $\frac{1}{18}$ .
$\frac{1}{18} =0.05555555555555555$

STEP 8

Repeat the process for the fourth rational number, $-\frac{60}{22}$ .
$-\frac{60}{22} = -60 ÷22$

STEP 9

Perform the division to find the decimal equivalent of $-\frac{60}{22}$ .
$-\frac{60}{22} = -2.727272727272727$ The decimal equivalents of the given rational numbers are $-.15$ , $.35$ , $.05555555555555555$ , and $-2.727272727272727$ respectively.

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QuestionFind the decimal equivalents of these rational numbers: a. $\frac{7}{20}$ , b. $-\frac{23}{20}$ , c. $\frac{1}{18}$ , d. $-\frac{60}{22}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to convert each of the given rational numbers into decimal form. . The rational numbers are $-\frac{23}{20}$ , $\frac{7}{20}$ , $\frac{1}{18}$ , and $-\frac{60}{22}$ .

STEP 2

To convert a rational number into a decimal, we simply perform the division of the numerator by the denominator.
For the first rational number, $-\frac{23}{20}$ , we divide -23 by20.
$-\frac{23}{20} = -23 ÷20$

STEP 3

Perform the division to find the decimal equivalent of $-\frac{23}{20}$ .
$-\frac{23}{20} = -1.15$

STEP 4

Repeat the process for the second rational number, $\frac{7}{20}$ .
$\frac{7}{20} =7 ÷20$

STEP 5

Perform the division to find the decimal equivalent of $\frac{7}{20}$ .
$\frac{7}{20} =0.35$

STEP 6

Repeat the process for the third rational number, $\frac{1}{18}$ .
$\frac{1}{18} =1 ÷18$

STEP 7

Perform the division to find the decimal equivalent of $\frac{1}{18}$ .
$\frac{1}{18} =0.05555555555555555$

STEP 8

Repeat the process for the fourth rational number, $-\frac{60}{22}$ .
$-\frac{60}{22} = -60 ÷22$

STEP 9

Perform the division to find the decimal equivalent of $-\frac{60}{22}$ .
$-\frac{60}{22} = -2.727272727272727$ The decimal equivalents of the given rational numbers are $-.15$ , $.35$ , $.05555555555555555$ , and $-2.727272727272727$ respectively.

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QuestionFind the decimal equivalents of these rational numbers: a. 720\frac{7}{20}207​, b. −2320-\frac{23}{20}−2023​, c. 118\frac{1}{18}181​, d. −6022-\frac{60}{22}−2260​.

Studdy Solution

STEP 1

Assumptions1. We are asked to convert each of the given rational numbers into decimal form. . The rational numbers are −2320-\frac{23}{20}−2023​, 720\frac{7}{20}207​, 118\frac{1}{18}181​, and −6022-\frac{60}{22}−2260​.

STEP 2

To convert a rational number into a decimal, we simply perform the division of the numerator by the denominator.For the first rational number, −2320-\frac{23}{20}−2023​, we divide -23 by20.−2320=−23÷20-\frac{23}{20} = -23 ÷20−2023​=−23÷20

STEP 3

Perform the division to find the decimal equivalent of −2320-\frac{23}{20}−2023​.−2320=−1.15-\frac{23}{20} = -1.15−2023​=−1.15

STEP 4

Repeat the process for the second rational number, 720\frac{7}{20}207​.720=7÷20\frac{7}{20} =7 ÷20207​=7÷20

STEP 5

Perform the division to find the decimal equivalent of 720\frac{7}{20}207​.720=0.35\frac{7}{20} =0.35207​=0.35

STEP 6

Repeat the process for the third rational number, 118\frac{1}{18}181​.118=1÷18\frac{1}{18} =1 ÷18181​=1÷18

STEP 7

Perform the division to find the decimal equivalent of 118\frac{1}{18}181​.118=0.05555555555555555\frac{1}{18} =0.05555555555555555181​=0.05555555555555555

STEP 8

Repeat the process for the fourth rational number, −6022-\frac{60}{22}−2260​.−6022=−60÷22-\frac{60}{22} = -60 ÷22−2260​=−60÷22

STEP 9

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QuestionFind the decimal equivalents of these rational numbers: a. $\frac{7}{20}$ , b. $-\frac{23}{20}$ , c. $\frac{1}{18}$ , d. $-\frac{60}{22}$ .

Assumptions1. We are asked to convert each of the given rational numbers into decimal form. . The rational numbers are $-\frac{23}{20}$ , $\frac{7}{20}$ , $\frac{1}{18}$ , and $-\frac{60}{22}$ .

To convert a rational number into a decimal, we simply perform the division of the numerator by the denominator.
For the first rational number, $-\frac{23}{20}$ , we divide -23 by20.
$-\frac{23}{20} = -23 ÷20$

Perform the division to find the decimal equivalent of $-\frac{23}{20}$ .
$-\frac{23}{20} = -1.15$

Repeat the process for the second rational number, $\frac{7}{20}$ .
$\frac{7}{20} =7 ÷20$

Perform the division to find the decimal equivalent of $\frac{7}{20}$ .
$\frac{7}{20} =0.35$

Repeat the process for the third rational number, $\frac{1}{18}$ .
$\frac{1}{18} =1 ÷18$

Perform the division to find the decimal equivalent of $\frac{1}{18}$ .
$\frac{1}{18} =0.05555555555555555$

Repeat the process for the fourth rational number, $-\frac{60}{22}$ .
$-\frac{60}{22} = -60 ÷22$