4th Grade - Decimals And Fractions Equivalents

 
     
 
     
 
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4th
Fractions and Probability
Decimals and Fractions Equivalents
Write tenths and hundredths in decimal and fraction notations and know the fraction and decimal equivalents for halves and fourths (i.e. 1 - 2 = 0.5 or 0.50; 7 - 4 = 1 andfrac34; = 1.75
Change fractions to decimals and decimals to fractions.
 

Sample Problems

(1)

Choose the fraction that represents the model on the base-ten grid:



















  1. 3/10

  2. 3/7

  3. 7/10

Change the fraction you chose to a decimal.

(a; 0.3)

(2)

Choose the fraction that represents the model on the base-ten grid:







































































































  1. 15/100

  2. 36/64

  3. 36/100

Change the fraction you chose to a decimal.

(c; 0.36)

(3)

Change 7/10 to a decimal and categorize the numbers in standard form, expanded form, and word form:


Standard Form

Expanded Form

Word

Form





(Standard form: 0.7; Expanded form: 0 + 0.5; Word form: seven tenths)

(4)

Write the fraction below as a decimal:

2/4

Tip: Change the fraction to simplest form, and then convert to a decimal.


(1/2 – 0.5)

(5)

Add the decimals below, then covert to a fraction:

1.2 + 0.38 =


(1.58 = 1 58/100)

Learning Tips

(1)

Model forms for decimals:


Standard Form

Expanded Form

Word

Form

0.4

0 + 0.5

Zero and five tenths or five tenths

0.45

0 + 0.4 + 0.05

Forty five hundredths


(2)

Explain base ten grids (tenths & hundredths)

Tenths grid: 10 parts























Hundredth Grid: 100 parts










































































































(3)

Converting the denominator for the fractions to 10 or 100 in order to convert to a decimal.

i.e.) 3 x 2 = 6

5 x 2 = 10 the decimal would become 0.6

(4)

The difference of:

Ten & tenths-

tens place value is the second column before the decimal

tenths place value is the first column after the decimal (there is no oneths column).


Hundred & hundredths

Hundred place value is the third column before the decimal

Hundredths place value is the second column after the decimal

ones

Tenths

Hundredths

Word Form

0

4

5

Forty five hundredths

3

0

6

Three and six hundredths


(5)

Math Vocabulary

Standard form- write numbers ( 1,349)


Word form- write with words (one thousand, three hundred forty-nine)


Expanded form- add place values (1,000 + 300 + 40 + 9)



Extra Help Problems

(1)

Write each fraction as a decimal:

8

10


(0.8)

(2)

Write each fraction as a decimal:

32

100


(0.32)

(3)

Write each fraction as a decimal:

4

5


(0.8)

(4)

Write each fraction as a decimal:

1

4


(0.25)

(5)

Write each fraction as a decimal:

9

100


(0.09)

(6)

Find the missing numerator:

??

100 = 0.47


(47)

(7)

Find the missing decimal:

6

10 = _____


(0.6)

(8)

Find the missing denominator:

6

? = 0.06


(100)

(9)

Find the missing decimal:

1

  1. = ____


(0.25)

(10)

Find the missing numerator:


?

4 = 0.75


(3)

(11)

Fill in the missing fraction and decimal on the number line:

------------------------------------------------------------------------------------

2/10 3/10 5/10 6/10


------------------------------------------------------------------------------------

0.1 0.2 0.3 0.5


(0.6)

(12)

Fill in the missing decimals on the number line:

------------------------------------------------------------------------------------

1/4 2/4 3/4


---------------------------------------------- ---- --------- -------------------------


(0.25; 0.5; 0.75; 1)

(13)

Write equivalent decimal for:

½


(0.5)

(14)

Write equivalent decimal for:

¼

(0.75)

(15)

Write fraction and decimal for the model:



















(0.5; ½)

(16)

Write fraction and decimal for the model:



















(0.9; 9/10)

(17)




Write fraction and decimal for the model:







































































































(0.57; 57/100)

(18)

Write fraction and decimal for the model:







































































































(0.10; 10/100= 1/10)

(19)

Write a decimal for the mixed number:


15 3/100


(15.03)


(20)

Write a decimal for the mixed number:

6 7/10


(6.7)

(21)

Write a mixed number for the decimal:

1.25

Simplify the fraction.


(1 ¼ )

(22)


Write a mixed number for the decimal:

6.90

Simplify the fraction.


(6 9/10)

(23)

Fill in the chart:

Standard Form

Expanded Form

Word

Form

0.43




(Expanded form: 0 + 0.40 + 0.03; Word form: Forty-three hundredths)

(24)

Fill in the chart:

Standard Form

Expanded Form

Word

Form



One and three tenths


(Standard form: 1.3; Expanded form: 1 + 0.3)

(25)

Fill in the chart:

Standard Form

Expanded Form

Word

Form


10 +8+ 0.2 +0.05



(Standard form: 18.25; Word form: Eighteen and twenty five hundredths)

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