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Conversion of Decimals
Conversion of Unlike
Decimals into Like Decimals and Vice-Versa
Step 1: Select the decimal which has the highest number of decimal places.
Step 2: Now place the zeroes in the extreme right side in the other decimals so that they have equal number of digits right to the decimal point.
Convert 4.5, 9.03, 7.551, 2.1 into like decimals.
Explanation
The decimal 7.551 has the highest number of decimal places among the decimals 4.5, 9.03, 7.551, and 2.1.
The decimal 4.5 has only one decimal place, thus put 2 zeroes in the extreme right side =4.500.
The decimal 9.03 has only two decimal places, thus put 1 zeroes in the extreme right side = 9.030
The decimal 2.1 has only one decimal place, thus put 2 zeroes in the extreme right side = 2.100.
Now 4.500, 9.030, 7.551, and 2.100 are like decimals.
Note: In the same way you can convert like decimals into unlike decimals.
Conversion of a Decimal into a Fraction
Step 1: Remove the point from the decimal and write the obtained number as the numerator.
Step 2: Write 1 as denominator and put zeroes right to it so that the number of zeroes is equal to the number of digits right to the point in the given decimal.
Convert 23.56 into a fraction.
Explanation
On removing the point from the decimal 23.56 we get the number 2356.
Thus 2356 becomes numerator for the required fraction. There are two digits right to the point in the decimal 23.56 thus the required denominator will be 100 as 100 contains two zeroes.
Thus the required fraction for \[23.56=\frac{2356}{100}\]
Conversion of a Fraction into a Decimal
If denominator of the fraction is power of 10, count the digits of the numerator from right and put a decimal point in the numerator so that the number of digits right to the decimal point is equal to the number of zeroes in the denominator.
Convert \[\frac{12562}{100}\] into a decimal.
Explanation
The denominator 100 contains two zeroes, therefore, put a point after two digits counting from right.
Thus the required decimal\[\frac{12562}{100}=125.62\].
Division Method
Step 1: Insert a point in the extreme right to the dividend, and add zeroes right to the point (Note: you may increase the number of zeroes as per the requirements).
Step 2: Now divide the numerator by the denominator.
Step 3: Insert a point extreme right more...
Expanded Form of Decimals
Expanded form of a decimal represents the addition of place values of the digits respected to their position in the decimal. For the example: Expanded form of 315.162 is \[300+10+5+\frac{1}{10}+\frac{6}{100}+\frac{2}{1000}.\]
Write the expanded form of the decimal 0.956
Explanation
\[0\frac{9}{10}+\frac{5}{100}+\frac{6}{1000}.\]
Decimal Places
The number of digits right to the point in a decimal is called decimal places of that decimal For example: In the decimal 26.345, there are three digits right to the point, therefore, the decimal 26.345 has three decimal places.
How many decimal places does the decimal 25.26 has?
Explanation
There are two digits right to the point in the decimal 25.26, thus it has two decimal places.
Like Decimals
The decimal having same number of digits right to the point are called like decimals.
In other words like decimals have same decimal places.
For example: 2.56, 5.48, 0.25, etc. are like decimals as they have the same number of decimal places.
"4.56 and 256.35 are like decimals". Justify the statement.
Explanation
Both the decimals 4.56 and 256.35 have two decimal places and the decimals have same number of decimal places are like decimals.
Unlike Decimals
Decimal numbers of different decimal places are called unlike decimals. In other word unlike decimals have different decimals places.
For example: 0.2, 1.23, 2.236 etc. are unlike decimals as they have different decimal places.
Check, 25.36 and 5.256 like decimals or unlike decimals.
Explanation
25.36 has two decimal places whereas 2.256 has three decimal places. They have the different decimal places, therefore, they are unlike decimals.
Equivalent Decimals
The decimals which have same value are called equivalent decimals.
For example: 2.5, 2.50, 2.500, are equivalent decimals as they have the same value.
Write two equivalent decimals of 2.57
Explanation
Two equivalent decimals of 2.57 are 2.570 and 2.5700. You may find many other equivalent decimals of 2.57 by just adding zeroes in the extreme right side of the decimal.
Note: If the number of zeroes is increased in the extreme right side of a decimal, the value of the decimal remains constant.
Introduction
A fraction with the denominator power of 10 (like 10, 100, 1000 etc.) is called decimal. It is expressed as a number using a point called decimal point. Decimal consist of two parts which are separated by a decimal point.
Integral Part
The part which is left to the decimal point is called integral part or whole number part. For example, in the decimal 896.3, 896 is the integral part.
Decimal Part
The part which is right to the decimal point is called fractional part or decimal part. For example: 45.683 is a decimal number in which 683 is fractional part or decimal part.
Note: Decimal part read as separately one by one like 35.721 is read as thirty five point seven, two, one not as thirty five point seven hundred twenty one.
Decimal Place Value Chart
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