1. Moving Decimals
By: Mary S. Roland

2. What is the Value?
A decimal is a number that uses place value and a decimal to show value less than a whole (or one).
A fraction does the same thing. So fractions and decimals mean the same thing. They are just written a little differently.

3. Moving Decimals Multiply by Move the Decimal Point Example 10
1 place to the right
10 x 5.17 =51.7
100
2 places to the right
100 x 5.17=517
1000
3 places to the right
1000 x 5.17= 5,170

4. Notice: The whole is divided into tenths
Color eight out of ten
Notice: The whole is divided into tenths
Fraction 8/10 to Decimal 0.8
Top of the fraction = write the parts (shaded/unshaded) read the questions carefully
Bottom of the fraction = write the whole (all of the pieces in the picture).

5. Notice: The whole is divided into tenths
Color five out of ten
Notice: The whole is divided into tenths
Fraction 5/10 to Decimal 0.5
Top of the fraction = write the parts (shaded/unshaded) read the questions carefully
Bottom of the fraction = write the whole (all of the pieces in the picture).

6. Notice: The whole is divided into tenths
Color one out of ten
Notice: The whole is divided into tenths
Fraction 1/10 to Decimal 0.1
Top of the fraction = write the parts (shaded/unshaded) read the questions carefully
Bottom of the fraction = write the whole (all of the pieces in the picture).

7. Notice: The whole is divided into tenths
Color six out of ten
Notice: The whole is divided into tenths
Fraction 6/10 to Decimal 0.6
Top of the fraction = write the parts (shaded/unshaded) read the questions carefully
Bottom of the fraction = write the whole (all of the pieces in the picture).

8. Color sixty out of a hundred
Notice: The whole is divided into hundredths
Fraction 60/100 to Decimal 0.60
Top of the fraction = write the parts (shaded/unshaded) read the questions carefully
Bottom of the fraction = write the whole (all of the pieces in the picture).

9. Color four out of a hundred
Notice: The whole is divided into hundredths
Fraction 4/100 to Decimal 0.04
Top of the fraction = write the parts (shaded/unshaded) read the questions carefully
Bottom of the fraction = write the whole (all of the pieces in the picture).

10. Color eleven out of a hundred
Notice: The whole is divided into hundredths
Fraction 11/100 to Decimal 0.11
Top of the fraction = write the parts (shaded/unshaded) read the questions carefully
Bottom of the fraction = write the whole (all of the pieces in the picture).

11. Something to think about…
Write a fraction as a decimal
1/10
7/10
8/10
29/100
4/100
0.1
0.7
0.8
0.29
0.04
Hint: Move the decimal based on the number of zeros

12. Something to think about…
Which fraction has the same value as 0.4?
20/50
4/100
4/10
4/5

13. Yes, both fractions are represented by 0.5 or .5
Writing to Explain
Since 50/100 and ½ are equivalent, are the decimals for each fraction equivalent?
Yes No
They are both equal.
Yes, both fractions are represented by 0.5 or .5