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SAI International School
CLASS-VI

Mathematics
CHAPTER-8: Decimals
LESSON NOTES-1

SUBTOPIC: Conversion of fraction to decimals and vice versa,
Decimal on a number line

LESSON NOTES:

Converting decimal into Fraction:
 Conversion is done by seeing the place value of numbers.

 In conversion to fraction, the decimal can be written simply as a number with
denominator having as many zeroes as the number of digits after the decimal
point.
Ex- Converting 0.05 into fraction

 Here 0 is at Ones place, 0 is at tenths place and 5 is at hundredths
place.
There are two digits after the decimal point. So the conversion can also

be done as writing the number and dividing by 100.

 So the fraction form will be .

 Similarly if one digit will be there after the decimal then will divide by
10, if three digits then 1000 etc.

Converting fraction into Decimal: In case of converting fraction to decimal
the fraction can be converted into decimal by division method.
 The denominator can be converted into multiples of 10 can be converted to
decimal according to the number of zeros.

Expanded Form of Decimals: Writing decimals in expanded form simply
means writing each number according to its place value.

 This is done by multiplying each digit by its place value and adding them
together.