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Decimal And Percentage

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Decimals

The Concept of Decimals

Explain the concept of decimals

A decimal- is defined as a number which consist of two parts separated by a point.The parts are whole number part and fractional part

Example 1

decimal 1455529681353

Example 2

decimal ex 1455529866329

Conversion of Fractions to Terminating Decimals and Vice Versa

Convert fractions to terminating decimals and vice versa

The first place after the decimal point is called tenths.The second place after the decimal point is called hundredths e.t.c

Read Also:

Consider the decimal number 8.152

Ex 1455530248805

NOTE

  • To convert a fraction into decimal, divide the numerator by denominator
  • To convert a decimal into fraction, write the digits after the decimal point as tenths, or hundredths or thousandths depending on the number of decimal places.

Example 3

Convert the following fractions into decimals

convert 1455530463349

Solution

Divide the numerator by denominator

solv 1 1455531069219

Operations and Decimals

Addition of Decimals

Add decimals

Read Also:

Example 4

Evaluate

evaluate 1455531754608

Solution

solution 1455531913543

Subtraction of Decimals

Subtract decimals

Example 5

subtract 1455532407771

Solution

solution 1455532594899

Multiplication of Decimals

Multiply decimals

Example 6

Multip 1455533088846

Solution

solution 1455533362877

Mixed Operations with Decimals

Perform mixed operations with decimals

Example 7

div 1455533525984

Solution

solution 1455533682132

Word Problems Involving Decimals

Solve word problems involving decimals

Example 8

If 58 out of 100 students in a school are boys, then write a decimal for the part of the school that consists of boys.

Solution

We can write a fraction and a decimal for the part of the school that consists of boys.

fractiondecimal
58/1000.58

Percentages

Expressing a Quantity as a Percentage

Express a quantity as a percentage

The percentage of a quantity is found by converting the percentage to a fraction or decimal and then multiply it by the quantity.

Example 9

Find 1455539062106

NOTE: The concept of percentage of a quantity can be used to solve the problems involving percentage increase and decrease as shown in the below examples:-

A Fractions into Percentage and Vice Versa

Convert a fraction into percentage and vice versa

To change a fraction or a decimal into a percentage, multiply it by 100%

Example 10

Convert the following fractions into percentages

solution 1455539945554

A Decimal into Percentage and Vice Versa

Convert a decimal into percentage and vice versa

To change a percentage into a fraction or a decimal, divide it by 100%

Example 11

Convert the following percentages into decimals

solution 1455540455008

Percentages in Daily Life

Apply percentages in daily life

Example 12

In an assignment, Regina scored 9 marks out of 12. Express this as a percentage

Solution

solution 1455540649811

Example 13

A school has 400 students of which 250 are girls. What percentage of the students are not girls?

Solution

solution 1455541045694

Test Your Knowledge

Click below to generate a short, interactive 5-question quiz based on this lesson.

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