Transcript MATH CHAPTER 14 fractions and decimals

MATH CHAPTER 14
fractions and decimals
4TH GRADE
greater
tenth
decimal point
hundredth
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 = 0.25
2/5
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 – 22 = 22
6xz=6
Z
6=5
7-z-z=3
Z x 4 = 32
Z
9=4
15
z = 24
Z
5=1
3 x z = 18
7 x z = 49
Z – 4 = 50
23 + z = 32
5z = 100
8
z/10 = 2
0.500 x z = 4
75 x z = 0
100
2=z
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 x 6 = 42
W
2=9
W – 12 = 50
TRUE or FALSE
The
The product of
expression 101 4 and 682 is
– 25 equals 76 closer to 2,400
than 2,800
The quotient
of 0 divided
by 1 is 1
The sum of
251 and 173
is less than
400
The product of The difference
5 and 45 is
of 844 and
25 more than 172 is greater
200
than 600
Fractions and Decimals on the
Number Line
Q
l
l
l
l
l
l
l
0
0.25
0.5
0.75
1
1.25
What fraction is a point Q
1.5
Name the decimal on the
number line.
l
6.760
l
l
6.761
6.762
l
l
l
6.764
6.765
l
l
6.767
l
What numbers are at Points R ?
l
l
8.4
l
l
R
3
l
l
l
l
l
l
l
l
3.5
l
l
l
l
8.8
9
R
9.4
9.8
Where would you locate 1.15
on this number line?
What is located at Point C?
What is located at Point F?
l
1.0
l
l
l
1.3
l
l
l
C
l
l
l
F
Identify the value of each Point
below.
J
l
l
K
l
7.40
J.
L
l
l
7.60
K.
L.
l
M
l
7.70
M.
l
N
l
7.80
N.
l
Name the fraction that should be
written at each Point.
l
l
0
1/10
V
W
X
Y
l
l
l
l
Z
l
6/10
l
Which point on the number line
represents the same point as
Point Z?
l
l
l
l
l
8
l
8.4
l
l
l
l
8.5
l
l
l
l
Z
l
l
l
l
l
l
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
49 __ e = 7
5 __ r = 40
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
l
2.0
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
l
4.0
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
1 British pound
COST IN U.S.
DOLLARS
$1.759
1 Canadian dollar
$0.932
1 Mexican peso
$0.089
Fraction or Mixed
Number
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
parts. Write the
section occupies
and
divided into 100 equal
amount of space each
as a fraction, a decimal
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%
88/100 = 0.88 = __ 74/100 = __ = 74%
__ = 0.07 = 7%
__ = 0.69 = 69%
5/100 = __ = 5%
2/100 = 0.02 = __
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
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
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. ______
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
l
l
0
l
X
l
1
l
Y
l
2
l
Z
l
3
l
l
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
l
70.1
l
l
l
70.5
l
l
70.9
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
l
l
l
14 5/10
l
l
M
l
l
What fraction is best
represented by Point Q on
the number line?
Q
l
0
l
l
l
l
l
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.