1. 2-6 Decimals to Fractions and vice versa
The relationship between fractions and decimals

2. Two Questions 2
ponder

3. .6 What fraction of the rectangle is shaded? They sound alike!!!
What decimal part of the rectangle is shaded? .6

4. To write a decimal as a fraction, write the fraction as you would say the decimal
Hundredths
Ten-thousandths
tenths
Hundred-thousandths
Thousandths

5. Say the decimal….Write it as a fraction5 10
Notice….when you change a decimal to a fraction the denominator is always 10, 100, 1000 (powers of ten!) .5
.65
.22 .2
.225 65
100 22
100 2 10
225
1000

6. You have to simplify the fraction if possible
Is that all there is?
Of Course Not
You have to simplify the fraction if possible

7. Write .6 as a fraction
.6 =
Can be simplified to:
BUT
.6 = SO

8. What about fractions to decimals?
You can write a fraction as a decimal by dividing the numerator by the denominator…..the fraction symbol means division!

9. To make a decimal…do the division!
.00 28 20
.75

10. One more thing………
When you divide, REMEMBER, add zeros to finish your division.
AND
2 THINGS CAN HAPPEN

11. 1.) The division problem ends
Which is called A Terminating decimal
2.) or the division problem goes on forever…. Which is called a Repeating decimal

12. Repeating Decimals A single digit might repeat…. .3333….
Or a group of digits might repeat… ….

13. Show repeating decimals by placing a line over the digit or group of digits that repeats
.33333…. Becomes .3
And
….becomes .275

14. Remember Will be 1.4 1.2 will be Simplified to:
Whole numbers stay the same!

15. Ordering Fractions and Decimals from least to greatest4 5
Order ,
0.93, and 0.9 from least to greatest.
Write as decimals with the same number of places. 4 5
= 0.80
0.93 = 0.93
0.9 = 0.90
Graph the numbers on a number line.
0.93
0.80 < 0.90 < 0.93
Compare the decimals. 4 5
From least to greatest, the numbers are , 0.9, 0.93.

16. Ordering Fractions and Decimals from least to greatest4 5
Order ,
0.93, and 0.9 from least to greatest.
Write as decimals with the same number of places. 4 5
= 0.80
0.93 = 0.93
0.9 = 0.90
Can also treat it like money
0.80 cents < 0.90 cents < 0.93 cents 4 5
From least to greatest, the numbers are , 0.9, 0.93.

17. Homework Page 99 in your textbook…. Problems 8-36 even Show your work
Can use a calculator 