Practice the problems of Math in Focus Grade 5 Workbook Answer Key Chapter 10 Practice 1 Percent to score better marks in the exam.

## Math in Focus Grade 5 Chapter 10 Practice 1 Answer Key Percent

**Each large square is divided into 100 parts. Fill in the blanks to describe each large square.**

Question 1.

___ out of 100 equal parts are shaded.

___ % of the large square is shaded.

___ out of 100 equal parts are not shaded.

____ % of the large square is not shaded.

Answer:

46 out of 100 equal parts are shaded.

46 % of the large square is shaded.

54 out of 100 equal parts are not shaded.

54 % of the large square is not shaded.

Explanation:

Each large scale is divided into 100 squares,

out of which 46 are shaded and 54 are not shaded.

So the percentage of large scale are 46% and 54%

Question 2.

___ out of 100 equal parts are shaded.

___ % of the large square is shaded.

___ out of 100 equal parts are not shaded.

____ % of the large square is not shaded.

Answer:

78 out of 100 equal parts are shaded.

78 % of the large square is shaded.

22 out of 100 equal parts are not shaded.

22 % of the large square is not shaded.

Explanation:

Each large scale is divided into 100 squares,

out of which 78 are shaded and 22 are not shaded.

So the percentage of large scale are 78% and 22%

**Express each decimal as a percent**

Example

\(\frac{38}{100}\) = __38__%

Question 3.

\(\frac{7}{100}\) = ___ %

Answer:

7%

Explanation:

To convert a fraction to a percent,

first divide the numerator by the denominator.

Then multiply the decimal by 100.

The fraction \(\frac{7}{100}\) can be converted to decimal by dividing 7 by 100.

It can be converted to percent by multiplying the decimal by 100.

7 ÷ 100 = 0.07×100 = 7

So, the fraction \(\frac{7}{100}\) is equivalent to 7%

Question 4.

\(\frac{7}{100}\) = ___ %

Answer:

7%

Explanation:

To convert a fraction to a percent,

first divide the numerator by the denominator.

Then multiply the decimal by 100.

The fraction \(\frac{7}{100}\) can be converted to decimal by dividing 7 by 100.

It can be converted to percent by multiplying the decimal by 100.

7 ÷ 100 = 0.07×100 = 7

So, the fraction \(\frac{7}{100}\) is equivalent to 7%

Question 5.

\(\frac{19}{100}\) = ___ %

Answer:

19%

Explanation:

To convert a fraction to a percent,

first divide the numerator by the denominator.

Then multiply the decimal by 100.

The fraction \(\frac{19}{100}\) can be converted to decimal by dividing 19 by 100.

It can be converted to percent by multiplying the decimal by 100.

19 ÷ 100 = 0.19×100 = 19

So, the fraction \(\frac{19}{100}\) is equivalent to 19%

Question 6.

\(\frac{6}{10}\) = ___ %

Answer:

60%

Explanation:

To convert a fraction to a percent,

first divide the numerator by the denominator.

Then multiply the decimal by 100.

The fraction \(\frac{6}{10}\) can be converted to decimal by dividing 6 by 10.

It can be converted to percent by multiplying the decimal by 100.

6 ÷ 10 = 0.6×100 = 60

So, the fraction \(\frac{6}{10}\) is equivalent to 60%

Question 7.

\(\frac{4}{10}\) = ___ %

Answer:

40%

Explanation:

To convert a fraction to a percent,

first divide the numerator by the denominator.

Then multiply the decimal by 100.

The fraction \(\frac{4}{10}\) can be converted to decimal by dividing 4 by 10.

It can be converted to percent by multiplying the decimal by 100.

4 ÷ 10 = 0.4×100 = 40

So, the fraction \(\frac{4}{10}\) is equivalent to 40%

**Express each decimal as a percent.**

Example

Question 8.

Answer: 28%

Explanation:

To convert a decimal to a fraction, place the decimal number over its place value.

First divide the numerator by the denominator.

Then multiply the decimal by 100, to convert a fraction to a percent.

Question 9.

0.07 = _________%

Answer: 7%

Explanation:

To convert a decimal to a fraction, place the decimal number over its place value.

First divide the numerator by the denominator.

Then multiply the decimal by 100, to convert a fraction to a percent.

Question 10.

0.01 = _________%

Answer: 1%

Explanation:

To convert a decimal to a fraction, place the decimal number over its place value.

First divide the numerator by the denominator.

Then multiply the decimal by 100, to convert a fraction to a percent.

Question 11.

0.08 _________%

Answer: 8%

Explanation:

To convert a decimal to a fraction, place the decimal number over its place value.

First divide the numerator by the denominator.

Then multiply the decimal by 100, to convert a fraction to a percent.

Question 12.

0.5 = _________%

Answer: 50%

Explanation:

To convert a decimal to a fraction, place the decimal number over its place value.

First divide the numerator by the denominator.

Then multiply the decimal by 100, to convert a fraction to a percent.

Question 13.

0.9 = _________%

Answer: 90%

Explanation:

To convert a decimal to a fraction, place the decimal number over its place value.

First divide the numerator by the denominator.

Then multiply the decimal by 100, to convert a fraction to a percent.

Question 14.

0.8 = _________%

Answer: 80%

Explanation:

To convert a decimal to a fraction, place the decimal number over its place value.

First divide the numerator by the denominator.

Then multiply the decimal by 100, to convert a fraction to a percent.

**Express each percent as a fraction with a denominator of 100.**

Example

Question 15.

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

Question 16.

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

Question 17.

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

Question 18.

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

Question 19.

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

**Express each percent as a fraction with a denominator of 100.**

Example

Question 20.

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

And, then we express the fractional form of the percentage in the simplest form.

Question 21.

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

And, then we express the fractional form of the percentage in the simplest form.

Question 22.

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

And, then we express the fractional form of the percentage in the simplest form.

Question 23.

46% =

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

And, then we express the fractional form of the percentage in the simplest form.

Question 24.

55% =

Answer:

Explanation:

To convert a percent to a fraction,

we have to remove the percent sign and divide the given number by 100.

And, then we express the fractional form of the percentage in the simplest form.

**Express each percent as a decimal.**

Question 25.

Answer:

Explanation:

First remove the percent sign to convert from a percent to a decimal.

Divide the number by 100 and the out put is in the form of decimal.

Question 26.

9% = ___

Answer:

Explanation:

First remove the percent sign to convert from a percent to a decimal.

Divide the number by 100 and the out put is in the form of decimal.

Question 27.

1% = ___

Answer:

Explanation:

First remove the percent sign to convert from a percent to a decimal.

Divide the number by 100 and the out put is in the form of decimal.

**Write each ratio as a fraction and then as a percent.**

Question 28.

Answer:

Explanation:

Ratios are smaller to fractions, and each fraction can be written as a fraction.

Divide the first number 23 by the second number 100.

Multiply by 100 to convert to a percentage.

Add the percent symbol (%) to the output.

Question 29.

Answer:

Explanation:

Ratios are smaller to fractions, and each fraction can be written as a fraction.

Divide the first number 9 by the second number 100.

Multiply by 100 to convert to a percentage.

Add the percent symbol (%) to the output

**Express each percent as a decimal. Then mark ✗ to show where each decimal is located on the number line.**

Question 30.

71% = ______

Answer:

Explanation:

To convert a decimal to a percentage, multiply by 100,

just move the decimal point 2 places to the right.

Question 31.

19% = ___

Answer:

Explanation:

To convert a decimal to a percentage, multiply by 100,

just move the decimal point 2 places to the right.

Question 32.

44%= ____

Answer:

Explanation:

To convert a decimal to a percentage, multiply by 100,

just move the decimal point 2 places to the right.

**Solve. Show your work.**

Question 33.

There are 100 students in a drawing contest, and 58 of them are girls.

a. What percent of the students in the contest are girls?

Answer: 58%

Explanation:

To convert a fraction to a percent,

first divide the numerator by the denominator.

Then multiply the decimal by 100.

The fraction \(\frac{58}{100}\) can be converted to decimal by dividing 58 by 100.

It can be converted to percent by multiplying the decimal by 100.

58 ÷ 100 = 0.58×100 = 58

So, the fraction \(\frac{58}{100}\) is equivalent to 58%

b. What percent of the students in the contest are boys?

Answer: 42%

Explanation:

To convert a fraction to a percent,

first divide the numerator by the denominator.

Then multiply the decimal by 100.

The fraction \(\frac{42}{100}\) can be converted to decimal by dividing 42 by 100.

It can be converted to percent by multiplying the decimal by 100.

42 ÷ 100 = 0.42×100 = 42

So, the fraction \(\frac{42}{100}\) is equivalent to 42%

Question 34.

A jogging route is 10 kilometers long. Lee Ming has jogged 4 kilometers of the route.

a. What percent of the route has Lee Ming jogged?

Answer: 40%

Explanation:

A jogging route is 10 kilometers long.

Lee Ming has jogged 4 kilometers of the route.

To convert a fraction to a percent,

first divide the numerator by the denominator.

Then multiply the decimal by 100.

The fraction \(\frac{4}{10}\) can be converted to decimal by dividing 4 by 10.

It can be converted to percent by multiplying the decimal by 100.

4 ÷ 10 = 0.4×100 = 40

So, the fraction \(\frac{4}{10}\) is equivalent to 40%

b. What percent of the route does Lee Ming have to jog to complete the whole route?

Answer: 60%

Explanation:

A jogging route is 10 kilometers long.

Lee Ming has jogged 4 kilometers of the route.

To convert a fraction to a percent,

first divide the numerator by the denominator.

Then multiply the decimal by 100.

The fraction \(\frac{6}{10}\) can be converted to decimal by dividing 6 by 10.

It can be converted to percent by multiplying the decimal by 100.

6 ÷ 10 = 0.6×100 = 60

So, the fraction \(\frac{6}{10}\) is equivalent to 60%