1. 4th Grade Decimals and Fractions

2. Review: Place Value WHOLE NUMBERS
hundred thousands
ten thousands
thousands
hundreds
tens
ones
154,678
place holder
100,000
+50,000
+ 4,000
1 hundred thousand
5 ten thousands
4 thousands
6 hundreds
7 tens
8 ones

3. Why isn’t there a “oneths” place?
Place Value DECIMALS
hundred thousands
ten thousands
ones
hundreds
tens
thousands
154,
place holder
tenths
decimal point
hundredths
thousandths
Why isn’t there a “oneths” place?
1 hundred thousand
5 ten thousands
4 thousands
6 hundreds
7 tens
8 ones
2 tenths
3 hundredths
9 thousandths
100,000
+50,000
+ 4,000

4. Tenths… Like the Fraction!.4
“point four”
place value: “four tenths”
which is the same as the fraction 4 10
So… = .4

5. 0.9 Another example: “zero point 9” place value: “nine tenths”
which is the same as the fraction 9 10
So… = .9

6. place value: “three and six tenths”
One more:
3.6
“three point six”
place value: “three and six tenths”
which is the same as the mixed fraction 10
So… = 3.6 3

7. Hundredths… Like the Fraction!
.07
“point zero seven”
place value: “seven hundredths”
which is the same as the fraction 7
100
So… = .07

8. Hundredths… Like the Fraction!
.48
“point forty-eight”
place value: “forty-eight hundredths”
which is the same as the fraction 48
100
So… = .48

9. Equivalent Decimals the decimal .1 is the same as .10
.1 is one-tenth, and .10 is ten-hundredths
they are equivalent fractions (remember?) =

10. Let’s talk about “moolah”
.1 and .10 represent the same fractional amount of a whole number…
think of .10 as the money value of $0.10 or ten cents
what fraction of a whole dollar is that?
= =
= =
$0.10 = 1 10

11. Now let’s try it with the decimal .03
 what fraction of a whole dollar is .03 ?
.03 and .30 are NOT the same fractional value
.03  $0.03 or 3¢ or 3 pennies =
.03 = 3
100

12. Mixed Numbers
include a whole number value and a part of a whole
3.8 is a mixed number
it represents three wholes and eight tenths of a whole
= 3.8
if it were a money value, $3.80, it would represent three dollars and eight dimes
= 3.8 = 10

13. Word Form Decimal Fraction
three and three hundredths
3.03
3 3/100
five and two tenths
5 2/10
2.05
2 5/10
four and ninety hundredths
4.90
7 6/10
9.01
one and five tenths

14. 8/100 80/100 8/10 .08 eight hundredths .80 eighty hundredths .8
Picture
Fraction
Decimal
Word
8/100
.08
eight hundredths
80/100
.80
eighty hundredths
8/10 .8
eight tenths