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Or we can think of a decimal number as a Whole Number plus a Decimal Fraction.
So "2.3" looks like: 2 and 3/10
13
And "13.76" looks like:
and 76/100
Expanded Form and Standard Form:
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.
For example,
493.2 = 4 hundreds + 9 tens + 3 ones + 2 tenths
= 400 + 90 + 3 + 2/10
1436.74 = 1 thousands + 4 hundreds + 3 tens + 6 ones + 7 tenths + 4 hundredths
= 1000 + 400 + 30 + 6 + 7/10 + 4/100
Note: When a decimal is missing either in the decimal part, substitute with 0.
In expanded form:
(i) 3479.105
= 3 thousands + 4 hundreds + 7 tens + 9 ones + 1 tenths + 0 hundredths+ 5 thousandths
= 3000 + 400 + 70 + 9 + 1/10 + 0/100 + 5/1000
(ii) 7833.45
= 7 thousands + 8 hundreds + 3 tens + 3 ones + 4 tenths + 5 hundredths
= 7000 + 800 + 30 + 3 + 4/10 + 5/100
In standard form as decimal fractions:
(i) 8 thousands + 8 ones + 3 tenths + 9 hundredths
= 8008.39
(ii) 4000 + 7 + 5/10 + 6/100
= 4007.56