Unlike Decimal Fractions
Unlike decimal fractions are discussed here.
We have learnt that the number of digits on the right of the
decimal point tells us the number of decimal places in the given number. For
example, 5.127 has 3 digits on the right of the decimal point, so it has 3
decimal places.
Decimal numbers having different number of decimal places
are called unlike decimals. For example, 15.6, 15.06 and 15.106 are unlike
decimals.
Definition of Unlike Decimals:
Two or more decimal fractions are called unlike decimals if they have unequal numbers of decimal places.
Let us consider some of the unlike decimals;
(i) 8.4, 8.41, 8.412
In 8.4, 8.41, 8.412 the number of decimal places are 1, 2 and 3.
(ii) 80.41, 182.415
In 80.41, 182.415 the number of decimal places are 2 and 3.
(iii) 0.129, 0.12, 0.1
In 0.129, 0.12, 0.1 the number of decimal places are 3, 2 and 1.
(iv) 1.0015, 0.001, 0.1
In 1.0015, 0.001, 0.1 the number of decimal places are 4, 3 and 1.
(v) 1.45, 32.001, 110.1
In 1.45, 32.001, 110.1 the number of decimal places are 2, 3 and 1.
(vi) 111.67, 160.9, 110.101
In 111.67, 160.9, 110.101 the number of decimal places are 2, 1 and 3.
We can convert set of unlike decimals into a set of like
decimals or equivalent decimals by placing zeroes on the right of the decimal
part. For example, to make 3.01 and 3.4 like decimals we put one zero to the
right of the decimal part of 3.4 and write as 3.40. Now, both decimal numbers
have two decimal places.
(vii) 0.1, 0.10, 0.100 are equivalent but unlike decimals, therefore unlike decimals may or may not be equivalent decimals.
You might like these
-
In 5th Grade Decimals Worksheet contains various types of questions on operations on decimal numbers. The questions are based on formation of decimals, comparing decimals, Converting Fractions to Decimals, Addition of decimals, subtraction of decimals, multiplication of
-
While comparing natural numbers we first compare total number of digits in both the numbers and if they are equal then we compare the digit at the extreme left. If they also equal then we compare the next digit and so on. We follow the same pattern while comparing the
-
Decimal numbers can be expressed in expanded form using the place-value chart. In expanded form of decimal fractions we will learn how to read and write the decimal numbers. Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.
-
Division of a decimal number by 10, 100 or 1000 can be performed by moving the decimal point to the left by as many places as the number of zeroes in the divisor. The rules of division of decimal fractions by 10, 100, 1000 etc. are discussed here.
-
Addition of decimal numbers are similar to addition of whole numbers. We convert them to like decimals and place the numbers vertically one below the other in such a way that the decimal point lies exactly on the vertical line. Add as usual as we learnt in the case of whole
-
Simplification in decimals can be done with the help of PEMDAS Rule. From the above chart we can observe that first we have to work on "P or Parentheses" and then on "E or Exponents", then from
-
Solve the questions given in the worksheet on decimal word problems at your own space. This worksheet provides a mixture of questions on decimals involving order of operations
-
Practice the math questions given in the worksheet on dividing decimals. Divide the decimals to find the quotient, same like dividing whole numbers. This worksheet would be really good for the students to practice huge number of decimal division problems.
-
To divide a decimal number by a whole number the division is performed in the same way as in the whole numbers. We first divide the two numbers ignoring the decimal point and then place the decimal point in the quotient in the same position as in the dividend.
-
We will practice the questions given in the worksheet on multiplication of decimal fractions. While multiplying the decimal numbers ignore the decimal point and perform the multiplication as usual and then put the decimal point in the product to get as many decimal places in
-
To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.
-
The rules of multiplying decimals are: (i) Take the two numbers as whole numbers (remove the decimal) and multiply. (ii) In the product, place the decimal point after leaving digits equal to the total number of decimal places in both numbers.
-
The working rule of multiplication of a decimal by 10, 100, 1000, etc... are: When the multiplier is 10, 100 or 1000, we move the decimal point to the right by as many places as number of zeroes after 1 in the multiplier.
-
We will practice the questions given in the worksheet on subtraction of decimal fractions. While subtracting the decimal numbers convert them into like decimal then subtract as usual ignoring decimal point and then put the decimal point in the difference directly under the
-
We will practice the questions given in the worksheet on addition of decimal fractions. While adding the decimal numbers convert them into like decimal then add as usual ignoring decimal point and then put the decimal point in the sum directly under the decimal points of all
● 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 Unlike 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.
Share this page:
What’s this?
|
|
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.