Unit 8 Decimals

words

fractions

expanded form

10.5 = ten and five tenths

.457 = four hundred fifty-seven thousandths

.015 = fifteen thousandths

2.05 = two and five hundredths

 $\frac{1}{10}$ =0.1 

 $\frac{15}{1000}$  =0.015

 $\frac{2}{100}$  =0.02

you can write decimals in expanded form

1.05 = 1 + 0.05

1.234 = 1 + 0.2 + 0.03 + 0.004

1.05 =   $1\ +\ \frac{5}{100}$  

5.123 =  $5\ +\ \frac{1}{10}+\frac{2}{100}+\frac{3}{1000}$  

First look at the place value

then look at the number to the right of that place value

if its above 5 = round up

if its 4 and below = round down

First, what digit is in the tenths place?

4

now look at the digit to the RIGHT of the 4. What is that digit?

8

Since it 8 is above 5 the tenth place rounds from 4 to 5

12.5