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%