Practice the questions of **McGraw Hill Math Grade 8 Answer Key**** PDF** **Lesson 6.8 Percents and Decimals** to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 6.8 Percents and Decimals

**Exercises Convert**

**Convert to a Percent.**

Question 1.

.7612

Answer:

76.12%,

\(\frac{5}{12}\)

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 0.7612 to percent we rewrite 0.7612 in terms of “per 100” or over 100.

Multiply 0.7612 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

0.7612 x \(\frac{4}{9}\)

= \(\frac{76.12}{100}\) = 76.12%

So, 0.7612 = 76.12%

Question 2.

.01543

Answer:

1.543%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert .01543 to percent we rewrite .01543 in terms of “per 100” or over 100.

Multiply .01543 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

.01543 x \(\frac{100}{100}\)

= \(\frac{01.543}{100}\) = 1.543%

So, .01543 = 1.543%

Question 3.

1.59

Answer:

159%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 1.59 to percent we rewrite 1.59 in terms of “per 100” or over 100.

Multiply 1.59 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

1.59 x \(\frac{100}{100}\)

= \(\frac{159}{100}\) = 159%

So, 1.59 = 159%

Question 4.

.5721

Answer:

57.21%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 0.5721 to percent we rewrite 0.5721 in terms of “per 100” or over 100.

Multiply 0.5721 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

0.5721 x \(\frac{100}{100}\)

= \(\frac{57.2}{100}\) = 57.21%

So, 0.5721 = 57.21%

Question 5.

.0012

Answer:

0.12%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 0.0012 to percent we rewrite 0.0012 in terms of “per 100” or over 100.

Multiply 0.0012 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

0.0012 x \(\frac{100}{100}\)

= \(\frac{00.12}{100}\) = 0.12%

So, 0.0012 = 0.12%

Question 6.

.000134

Answer:

0.0134%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert .000134 to percent we rewrite 0.000134 in terms of “per 100” or over 100.

Multiply 0.000134 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

0.000134 x \(\frac{100}{100}\)

= \(\frac{0.0134}{100}\) = 76.12%

So, 0.0134 = 0.0134%

Question 7.

10.45

Answer:

1045%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 1.89 to percent we rewrite 1.89 in terms of “per 100” or over 100.

Multiply 1.89 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

10.45 x \(\frac{100}{100}\)

= \(\frac{1045}{100}\) = 1045%

So, 10.45 = 1045%

Question 8.

1.89

Answer:

189%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 1.89 to percent we rewrite 1.89 in terms of “per 100” or over 100.

Multiply 1.89 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

1.89 x \(\frac{100}{100}\)

= \(\frac{189}{100}\) = 1.89

So, 1.89 = 189%

Question 9.

.569

Answer:

56.9%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 0.569 to percent we rewrite 0.569 in terms of “per 100” or over 100.

Multiply 0.569 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

0.569 x \(\frac{100}{100}\)

= \(\frac{56.90}{100}\) = 56.90%

So, 0.569 = 56.90%

Question 10.

.9999

Answer:

99.99%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 0.9999 to percent we rewrite 0.9999 in terms of “per 100” or over 100.

Multiply 0.9999 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

0.9999 x \(\frac{100}{100}\)

= \(\frac{99.99}{100}\) = 99.99

So, 0.9999 = 99.99%

Question 11.

0.0011

Answer:

0.11%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.To convert 0.0011 to percent we rewrite 0.0011 in terms of “per 100” or over 100.

Multiply 0.0011 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

0.0011 x \(\frac{100}{100}\)

= \(\frac{0.11}{100}\) = 0.11%

So, 0.0011 = 0.11%

Question 12.

3.1345

Answer:

313.45%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 3.1345 to percent we rewrite 3.1345 in terms of “per 100” or over 100.

Multiply 3.1345 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

3.1345 x \(\frac{100}{100}\)

= \(\frac{313.45}{100}\) = 313.45%

So, 3.1345 = 313.45%

Question 13.

99.99

Answer:

9999%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert 99.99 to percent we rewrite 99.99 in terms of “per 100” or over 100.

Multiply 99.99 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

99.99 x \(\frac{100}{100}\)

= \(\frac{9999}{100}\) = 9999%

So, 99.99 = 9999%

Question 14.

.175555578

Answer:

17.5555578%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert .175555578 to percent we rewrite .175555578 in terms of “per 100” or over 100.

Multiply .175555578 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

.175555578 x \(\frac{100}{100}\)

= \(\frac{17.5555578}{100}\) = 17.5555578%

So, 0.175555578 = 17.5555578%

Question 15.

.187

Answer:

18.7%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert .187 to percent we rewrite .187 in terms of “per 100” or over 100.

Multiply .187 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

.187 x \(\frac{100}{100}\)

= \(\frac{18.7}{100}\) = 18.7%

So, 0.187 = 18.7%

Question 16.

.87

Answer: 87%

Explanation:

To convert decimals to percentages,

a decimal number to convert both the whole number and decimal part of the number to a percent value.

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

To convert .87 to percent we rewrite .87 in terms of “per 100” or over 100.

Multiply .87 by 100/100. Since 100/100 = 1,

we are only multiplying by 1 and not changing the value of our number.

0.87 x \(\frac{100}{100}\)

= \(\frac{87}{100}\) = 87%

So, 0.87 = 18.7%