As we know that, 1 cm = 10 mm, so if we have to find the opposite then
1mm = 1/10 cm
or onetenth cm or 0.1 cm.
Hence, the first number after the decimal represents the tenth part of the whole.
This reads as “thirtyfour point seven”.
Example: Show 0.3, 0.5 and 0.8 on the number line.
Sol: All the three numbers are greater than 0 and less than 1.so we have to make a number line with 0 and 1 and divide the gap into 10 equal parts.Then mark as shown below.
Example: Convert 12/5 and 3/2 in decimal form.
Sol:
Example: Write 2.5 in a fraction.
Sol:
As we know that 1 m = 100 cm, so if we have to find the opposite then
1 cm = 1/100 m, or
onehundredth m or 0.01 m.
Hence, the second numbers after the decimal represent the hundredth part of the whole.
It reads as “thirteen point nine five”.
Decimal in the hundredth form shows that we have divided the number into hundred equal parts.
Example: If we say that 25 out of 100 squares are shaded then how will we write it in fraction and decimal form?
Sol: 25 is a part of 100, so the fraction will be 25/100.
In the decimal form we will write it as 0.25.
This is the place value chart which tells the place value of each digit in the decimal number. It makes it easy to write numbers in decimal form.
Example: With the given place value chart write the number in the decimal form.
Hundreds (100)  Tens (10)  Ones (1)  Tenths (1/10)  Hundredths (1/100) 
4  6  3  8  5 
Sol: According to the above table
Example: Compare 532.48 and 682.26.
Sol: As the whole numbers are different, so we can easily find that the number with a greater whole number is greater.
Hence 682.26 > 532.48.
Example: Compare 42.36 and 42.68.
Sol: As the whole number is the same in both the numbers so we have to compare the tenth part.
Hence 42.68 > 42.36.
For example: Add: 0.19 + 2.3
Decimal numbers, 0.19 and 2.3 have two digits and one digit respectively to the right of the decimal point. So, we add a zero to the right of 2.3.
For example: Subtract: 39.87  21.98
Decimal numbers 39.87 and 21.98 have the same number of zeros after the decimal point.
Division: Point is shifted to the left by the number of zeroes in the denominator.
Example: If the height of Rani is 175 cm then what will be her height in meters?
Sol: 100 cm = 1 m
1 cm = 1/100 m = 0.01 m
175 cm = 175/100 mHence, the height of Rani is 1.75 m.
Example: If the weight of a rice box is 4725 gram then what will be its weight in a kilogram?
Sol:
1000 gm = 1 kg
1 gm = 1/1000 kg = 0.001 kg
9 videos114 docs49 tests

1. How can fractions be converted into decimals? 
2. How can decimals be converted into fractions? 
3. How can decimals be compared to determine which is greater or smaller? 
4. How can decimals be added and subtracted? 
5. How can decimals be multiplied and divided? 

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