Download Decimals

Decimals
Converting decimals to fractions: Count how many numbers are behind the decimal. The fraction is
form by placing the digits that were behind the decimal in the numerator and putting 1 followed by as many
zeros as digits behind the decimal in the denominator. Remember to reduce the fraction.
.862 =
2.3 =
1.45 =
Converting fractions to decimals, take the numerator and divide by the denominator.
If the fraction is a mixed number, put the whole number before the decimal.
Rewrite
3
= .6
5
2
5
= 2.
6
n
as long division.
d
d n
7
=
8
3
1
=
6
Round to the indicated place.
4.891253 round to the thousandths
12.508296 round to the hundredths
Adding Decimals:
Line up the decimal in the “same” place.
Keep the decimal in the same place.
Then add.
When there is no decimal in the number, you can write the decimal at the end of the
number. Just like with a sentence, the period goes at the end.
3.4 – (-7.89)
44.1 + 5.668
9 – 12.3
Multiplying Decimals:
“Count” the number of digits behind the decimal.
Put that many digits behind the decimal in the answer.
( .2)( .3)
(1.4)(.07)
(3)(8.6)
Powers of 10
(1.234)(10000)
(2.7)(1000000)
When there is no decimal in the number, you can write the decimal at the end of the number.
Just like with a sentence, the period goes at the end.
Dividing Decimals:
“Count” the number of digits behind the decimal in the divisor, then mover the decimal in the
dividend to the right that many places. Bring the decimal up in the quotient.
.2 4.68
1.5 6
24.79  .003
5  .06