Processing math: 100%

Equivalent Decimal Fractions

Equivalent decimal fractions are unlike fractions which are equal in value.

Let us take a plane sheet which represents one whole. Now, we divide the sheet into 10 equal parts. 

Equivalent Decimals

The colored part in the above figure represents two-tenths of the whole or 0.2.

We now further divide the part into 10 equal parts. There are now 100 equal parts.

Equivalent Decimal Fractions

The colored part in figure B represents the fraction 20100 or 0.02. Same way, if we divide further there will be 1000 equal parts and the colored part will represent 2001000 or 0.200. The decimals 0.2, 0.20 and 0.200 are equivalent decimals. So, placing any number of zeroes to the right of the decimal part does not change its value.


Look at the figures:

Zero Point One
Zero Point One Zero

Shaded portion indicates 110 = 0.1

Shaded portion indicates 10100 = 0.10

Both the fractions indicate the same shaded portions.

Therefore, we have 0.10 = 0.1

Similarly 0.20 = 0.2;          0.30 = 0.3


Let us consider the following examples:

(i) 0.4, 0.40, 0.400, 0.4000

Each of the above is equal to 0.4 or 4/10.


(ii) 1.9, 1.90, 1.900, 1.9000

Each of the above is equal to 1.9 or 19/10.


(iii) 10.14, 10.140, 10.1400, 10.14000

Each of the above is equal to 10.14 or 1014/100.


(iv) 0.94, 0.940, 0.9400, 0.94000

Each of the above is equal to 0.94 or 94/100.


(v) 9.1, 9.10, 9.100, 9.1000

Each of the above is equal to 9.1 or 91/10.


(vi) 60.49, 60.4900, 60.490

Each of the above is equal to 60.49 or 6049/100.


Similarly, we have

0.300 = 0.30 = 0.3

0.700 = 0.70 = 0.7

0.200 = 0.20 = 0.2

Thus, by adding any number of zeros after the extreme right digit in the decimal part of a decimal number does not change the value of the number.

Numbers obtained by inserting zeros after the extreme right digit in the decimal part of a decimal number are known as equivalent decimals.

Hence, 0.75, 0.750, 0.7500 etc are equivalent decimals.

More Examples on Equivalent Decimal Fractions:

1. Is 0.90 = 0.9?

0.90 = 90100                        0.9 = 910

90100 = 9×1010×10

That is, 90100 and 910 are equivalent fractions.

Therefore, 90100 = 910

Hence 0.90 = 0.9

 

2. Is 0.900 = 0.9?

0.900 = 9001000                  0.9 = 910

9001000 = 9×10010×100

That is, 9001000 and 910 are equivalent fractions.

Therefore, 9001000 = 910

Hence 0.900 = 0.9

Similarly,          0.8 = 0.80 = 0.800 = 0.8000 and so on

                        0.7 = 0.70 = 0.700 = 0.7000 and so on


Adding one, two or three zeroes after the extreme right digit in the decimal part does not change the value of the fractional number.

For example:

0.25 = 0.250

0.46 = 0.4600

0.19 = 0.1900 and so on.



Decimal.

Decimal Place Value Chart.

Expanded form of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Ordering Decimals

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Addition of Decimal Fractions.

Problems on Addition of Decimal Fractions

Subtraction of Decimal Fractions.

Problems on Subtraction of Decimal Fractions

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Problems on Multiplication of Decimal Fractions

Division of a Decimal by a Whole Number.

Division of Decimal Fractions

Division of Decimal Fractions by Multiples.

Division of a Decimal by a Decimal.

Division of a whole number by a Decimal.

Properties of Division of Decimal Numbers

Problems on Division of Decimal Fractions

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word Problems on Decimal.



5th Grade Numbers Page

5th Grade Math Problems

From Equivalent Decimal Fractions to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on 8 Times Table | Printable Multiplication Table | Video

    Mar 18, 25 03:30 PM

    worksheet on multiplication of 8 times table
    Worksheet on 8 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More

  2. Worksheet on Roman Numerals |Roman Numerals|Symbols for Roman Numerals

    Mar 18, 25 02:47 PM

    Roman Numbers Table
    Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) V…

    Read More

  3. Conversion of Roman Numeration | Roman Numerals |Hindu Arabic Numerals

    Mar 18, 25 02:12 PM

    We will learn the conversion of Roman numeration. First we will learn how to convert numbers in roman numerals. 1. Convert 579 in roman numerals.

    Read More

  4. Rules of Roman Numeration |Roman Number System|Roman Numeration System

    Mar 18, 25 09:41 AM

    Rules of Roman Numerals
    We will learn about Roman Numeration and its rules. We know that there are seven basic Roman Numerals. They are I, V, X, L, C, D and M. These numerals stand for the number 1, 5, 10, 50, 100, 500

    Read More

  5. Divisible by 2 | Test of Divisibility by 2 |Rules of Divisibility by 2

    Mar 17, 25 04:04 PM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More