MATH CHAPTER 14fractions and decimals

4TH GRADE

greater tenth hundredth

decimal point less

1. One of ten equal parts of a whole in one ___.

2. A dot used to separate dollars from cents or ones from tenths in a number is called a ___.

3. One part of 100 equal parts of a whole is one ___.

4. The number 3,704 is ___ than the number 3,407.

Write the decimal and fraction for each shaded part.

What is the rule? Complete the table.

7 49

10 70

15

Jordan wants to go to his friends house (F). Jordan’s house is marked

with a star. How far is it to his friend’s (F) house?

F

BLOCKS

Which are equivalent fractions?

Which are multiples?

Write the decimal.

Write each fraction in

simplest form.

2/8 3/3 5/10 3/12 5/15

6/9 8/10 6/16 4/10 5/20

50/100 20/80 21/28 12/15 25/30

12/20 8/18 28/50 21/33 8/40

Write each fraction as a decimal or decimal as a fraction.

6/10 0.08 33/100 0.500

40/10 6/1 9/100 0.03

0.85 1.02 75/100 3/4

Write each decimal in word form.

0.15 0.08 0.37

0.65 0.002 0.154

1.35 0.250 4.001

Equivalent Fractions and Decimals

9 = 1 x 25 = 25

36 = 4 x 25 = 100 = 0.252/5 9/20 1/25 4/20

7/500 3/12 9/18 3/200

5/25 7/20 12/16 13/50

Write each fraction as a decimal.

3/15 2/4 6/16 3/20 2/8

9/50 1/25 4/20 3/200 5/25

7/20 4/8 13/20 10/25 16/20

12/16 7/250 13/50 24/30 1/2

Jane got 24 hits out of 40

times at bat. What is her

batting average as a fraction

in simplest form?

Now write it as a decimal.

The model below represents 1 whole. Mary says that the shaded part of the model shows that 70/100 = 0.07

Is she correct? Explain.

A band has 20 instruments. Tyler says that 2/5 of the

instruments are string instruments and 0.5 of the

instruments are wind instruments. Does the band have the same number of

wind instruments and string instruments? Explain.

Joel wrote a 4 digit

number. He used each of

the digits 1, 3, 5, and 7 only

once. How many different 4

digit numbers can Joel

write?

The cell phone was invented

in Sweden in 1979. How

many years ago was the cell

phone invented?

Write a fraction in simplest

form with an equivalent

decimal to show what part of

a dollar 5 cents represents.

Nine of the 12 students in the

school play are fourth

graders. What fraction and

equivalent decimal represents

the part of students that are

fourth graders?

Helga has 37 customers on

her paper route. She delivers

newspapers every day. How

many newspapers does she

deliver in one week?

Bryon’s score on a 5 point

quiz was 4 out of 5, or 4/5.

Write 4 out of 5 as a

decimal.

Solve for z

Z + 22 = 24 Z – 19 = 24 Z x 4 = 32 Z 9 = 4 15 z = 24

Z – 22 = 22 6 x z = 6 Z 5 = 1 3 x z = 18 7 x z = 49

Z 6 = 5 Z – 4 = 50 23 + z = 32 5z = 100 8 2 = z

7 - z - z = 3 z/10 = 2 0.500 x z = 4 75 x z = 0 100 100 = 1

Round each decimal to the nearest tenth.

9.64 1.05 5.52 16.67 87.24

3.529 6.21 17.868 9.13 2.781

4.75 2.501 5.275 1.29 3.74

Find the sum.

Check your answer.9 + 3,529 + 27 + 621 17,868 + 913 + 2,781

475 + 25 + 5,350 + 25, 275 2 + 129 + 56 + 374

400 + 76 + 251 + 844 682 + 2,401 + 172 + 6000

Find the value of W.

20 = W - 68 W 2 = 9

W x 6 = 42 W – 12 = 50

TRUE or FALSE

The expression 101 – 25 equals 76

The product of 4 and 682 is closer to 2,400

than 2,800

The sum of 251 and 173 is less than

400

The quotient of 0 divided

by 1 is 1

The product of 5 and 45 is 25 more than

200

The difference of 844 and

172 is greater than 600

Fractions and Decimals on the Number Line

l l l l l l l

0 0.25 0.5 0.75 1 1.25 1.5

What fraction is a point Q

Q

Name the decimal on the number line.

l l l l l l l l l 6.760 6.761 6.762 6.764 6.765 6.767

What numbers are at Points R ?

l l l l l l l l 3 3.5

l l l l l l l l 8.4 8.8 9 9.4 9.8

R

R

Where would you locate 1.15 on this number line?

What is located at Point C?

What is located at Point F?

l l l l l l l l l l1.0 1.3 C F

Identify the value of each Point below.

J K L M N

l l l l l l l l l l 7.40 7.60 7.70 7.80

J. K. L. M. N.

Name the fraction that should be written at each Point.

V W X Y Z

l l l l l l l l

0 1/10 6/10

Which point on the number line represents the same point as

Point Z?

l l l l l l l l l 8 8.5

l l l l l l l l l l l 8.4 Z 8.5

Frank walked 4/5 of a mile to the library. What is the distance as a decimal?

0.4 0.45 0.54 0.8

Find the missing operation and the missing variable for each.

4 __ p = 8 45 __ s = 9 72 __ y = 8 6 __ z = 30

8 __ b = 56 54 __ m = 6 3 __ t = 21 64 __ a = 8

28 __ k = 4 6 __ v = 36 5 __ r = 40 49 __ e = 7

David has $34. He wants to

buy a pair of jeans that costs

$37. How much more money

does David need?

$34 ___ $ J = $37

Lorna had 37 birthday

invitations to mail. She

mailed some to her friends.

If 24 invitations

are left, how many stamps

does she need to buy?

Edward and Gary are helping

pave their patio. They have

42 square patio blocks. If

they stack them in equal

groups of 7 blocks, how

many stacks will there be?

Juilo’s has a pet rabbit. There

were 4 rabbits (kits) in each

litter. Juilo’s rabbit is mother

to 24 rabbits. How many

litters of rabbits were there?

4 ___ K = 20

Kelly has 2 ¾ yards of material to

make a costume for the school play.

A number like 2 ¾ has a WHOLE

number and a FRACTIONAL part.

2 ¾ is called a MIXED number.

Show a model for 2 ¾.

Change 2 ¾ to a decimal.

Write a decimal and a mixed number for the model below.

Write a decimal and a mixed number for the model below.

Write and equivalent decimal for each mixed number or a mixed

number for each decimal.

2 3/100 1 499/1000 3.2 5 17/100

9 3/10 2.117 1.6 1 81/100

4.52 3 67/100 893/1000 7.300

It takes Neptune 164.8 years to revolve once around the

sun. Write this decimal as a mixed number.

Martin ordered a medium pizza

with cheese for $9. Each

additional topping, t, costs $2.

Write an algebraic expression

to represent the cost of a

pizza with t toppings in dollars.

The average milk cow

produces 4 ½ gallons of milk

each day. How much milk is

this amount written as a

decimal?

The Great Owlet Moth has a wingspan of 12.13 inches.

Write this number as a mixed number.

The tiny harvest

mouse weighs

about ¼ ounce.

What is ¼ in

decimal form?

Nelly skated 0.8 miles farther than the 1 3/5 miles she had skated the day before. Use the number line to show this total distance as a decimal and as a mixed

number.

1.0 2.0

l l l l l l l l l l

Patricia biked between

3.5 and 4.0 miles. What distance

in tenths, could she have

skated?

3.0 4.0

l l l l l l l l l l l l l

The table below shows what you might have paid to buy different

foreign currencies in a recent year. Write each decimal as a fraction or

a mixed number.

CURRENCY COST IN U.S. DOLLARS

Fraction or Mixed Number

1 British pound $1.759

1 Canadian dollar $0.932

1 Mexican peso $0.089

Randy and Tim shared a small

apple pie. Randy ate 3/10 and

Tim ate 2/5. What part of the

pie did they eat?

Fraction = _____

Decimal = _____

How much was left for me?

Fraction = _____ Decimal = _____

Sara lives 2 ½ miles from the school. Steven lives 2.45 miles

from the school. Who lives closer to the school?

Complete the number line to compare the two distances.

l l l l l l l l l l l l l l

You can write a fraction as a decimal and as a percent.

This floor plan is divided into 100 equal parts. Write the amount of space each

section occupies as a fraction, a decimal and a percent.

55% means 55 out of 100

55/100 = 55% = .55

Write 0.80 as a fraction and as a percent.

Write each as a fraction or a decimal or as a percent.

0.47 50/100 0.76 9/100

35/100 0.92 0.41 11/100

0.73 6% 74% 2/100

Write the missing fraction, decimal, or percent.

38/100 = __ = 38% __ = 0.17 = 17% 5/100 = __ = 5%

88/100 = 0.88 = __ 74/100 = __ = 74% 2/100 = 0.02 = __

__ = 0.07 = 7% __ = 0.69 = 69% 45/100 = __ = __%

Write each percent as a fraction and as a decimal.

4% 81% 49%

97% 6% 18%

39% 54% 22%

Could the floor space in a department store be divided this way: Women’s

clothing 45%, Children’s clothing 25%, Men’s clothing 30%, and Checkout 15%?

Vicky is helping her mother prepare

10 vases of flowers for a wedding

reception. Each vase will contain 3

roses and 8 carnations. How many

of each type of flower will be needed?

Tyson’s art club has 100 members.

The teacher assigned groups of students

to work in different mediums.

The grid shows the members in each group.

What percent is in each group?

Clay

Oil

Charcoal

Paper

Zachary colors 38/100 of a

100 grid purple. He colors

the rest of the grid green.

What percent of the grid is

shaded green?

Wanda surveyed 100 students in our school. She found that

62/100 of the students plan to go to summer camp this year.

What percent of the student don’t plan on attending summer

camp?

A carrousel takes 2 minutes to make a complete turn. Troy gets on and rides

without stopping for the next 12 minutes. How many times will he have returned to the starting point when the ride

stops?

The Fish and Wildlife Research Institute

in Florida is helping with the recovery

of Kemp’s Ridley Sea Turtles.

How many more turtles in 1947 than in 1968? _____

Did the population increase or decrease between 1991

and 2000? ___ Amount of increase or decrease? ___

Were there more or fewer in 1968 than in 1991? ____

How many more or fewer? ____

Kemp’s Ridley Sea Turtles

YEAR FEMALES NESTING

1947 40,000

1968 5,000

1991 200

2000 6,000

Which is taller: the trumpetweed or the giant ironweed? _____

Which is shorter: the lizard tail or the lady lupine? _______

Order the wildflowers from tallest to shortest. _______________________________________Write the height of the lady lupine as a

mixed number. ______

HEIGHTS of NATIVE FLORIDA WILDFLOWERS

GIANT IRONWEED 7 FEET

LIZARD TAIL 1 FOOT

TRUMPETWEED 6 FEET

LADY LUPINE 1.5 FEET

TURK’S CAP LILY 9 FEET

Mrs. Wall is planting 7 rows of flowers. She planted 10 flowers in the first row,

8 flowers in the second row, and 6 flowers in the third row. If she continues this pattern, how many flowers will be

in the fifth row?

There are 4 rabbits named Lenny, Emma, Beau, and Blossom. One is orange, one is gray, one is black,

and one is spotted. Emma is orange. Beau is not gray. Blossom

is spotted. What color is Lenny?

Mary, Kristin, Deborah, and Amy met on vacation. They are from New

York, Georgia, Nevada, and Maine. Amy is from New York, and Kristin is not from Georgia. If Deborah is from Nevada, where is Mary from?

There are 5 people in the Roberts family: Harry, Barb, Roger, Laurie, and Carrie.

Their ages are 37, 36, 13, 10, and 5. Barb is the oldest and Carrie is the youngest. Laurie is 13. Harry is not 10. He is older

than Roger. How old is Roger?

Can you draw a chart to answer the question?

Six dancers want to form a triangle

so that the same number of

dancers is on each side.

How should they stand?

Draw a picture to solve.

Wendy, Carl, Lauren, and Juan live on

four different streets: Highland, East,

Brook, and Oak. Wendy lives on

Highland, Lauren lives on Oak. Carl

does not live on East. What street

does Juan live on?

Scott and his friends are playing volleyball. They made a total of 6 teams. If there are 4 players on

each team, how many people are playing volleyball?

4

Weddell, von Bellingshausen, Cook, Palmer, and Wilkes each explored Antarctica. Two were British, and one was Russian. Weddell was from the came country as

Cook. The other two were from the United States. Palmer and Wilkes were from the same country. Cook

was British. Which country was von Bellingshausen from?

Vicky has a bag with 6 blue

marbles, 4 red marbles, 7 green

marbles, and 8 yellow marbles.

What fraction in simplest form

represents the marbles that are

blue or red?

Reggie’s frog leaped 2.48 feet on

its first leap. What point on the

number line best represents the

point where the frog landed?

W X Y Z

l l l l l l l l l l 0 1 2 3 4

What is 301/1000 written

as a decimal?

Write a decimal, fraction, and a percent to represent the

shaded part of this 100 grid.

Tamara has 15 sports movies.

Nine out of the 15, or 9/15 of her

movies are about soccer. What

decimal represents 9/15?

9 = ___ x ___ = ____

15 = x =

What is another way to write 3.78?

Fraction =

Percent =

Mixed Number =

Which number is best represented by Point Y on

the number line?

Y 70.1 70.5 70.9

l l l l l l l l

How is 35% written as a

decimal and as a fraction?

Which fraction and decimal is represented in this model?

What fraction and decimal are best represented by Point M

on the number line?

13 13 3/10 13 6/10 14 5/10

l l l l l l l

M

What fraction is best represented by Point Q on

the number line?

Q

l l l l l l 0 1

Barb, Grace, John, and Eva all attend Oaks Academy. They each get to

school a different way. They come by bus, walking, bike, or in a car. Barb walks to school. Grace does

not come in a car. If John rides the bus, how does Eva get to school?

What decimal is shown in the grids below?

Of the 25 students in Emil’s class, 9 have dogs. So 9/25 of the students have dogs.

What decimal represents 9/25? Explain.