MATHUNIT 4

4th

Do you remember?multiples arrays factor product

1. When you multiply numbers, you find the __________ ?

2. In the equation 8 X 6 = 48,

8 Is a ___________ .

3. The numbers 5, 10, 15, and 20 are all __________ of 5.

Find each product.

4.

3 X 4

5.

7 X 5

6

8 X 2

7.

9 X 5

8.

8 X 7

9.

6 X 5

10.

4 X 6

11.

6 X 8

12.

7 X 7

Round each number to the nearest ten.

Round each number to the nearest hundred.

16 83 35 63 24

492 771 344 550 809

An ARRAY has

columns and rows.

5 X 3

How many buttons would Alexa have if she bought five

packs of 100 buttons?

Katelyn has 6 bags of balloons

with 8 balloons in each bag.

Gabriella has 4 bags of

balloons with 10 balloons

in each bag.

Who has more balloons?

The sable palm is Florida’s

state tree. The leaf of the

sable palm can be up to 12

feet long and 6 feet wide.

How many times wider can

the leaf be than it is long?

Aaron is counting the number

of palm trees in his

neighborhood. There are 6

neighbors who have 10

palms each and one neighbor

that has 7 palms. How many

total palms are in his

neighborhood?

Trinity has earned $37

babysitting. She needs $65

to buy a skateboard. How

much more money does

Trinity need to earn?

Connor has 4 rolls of pennies.

There are 100 pennies in

each roll. How many pennies

does Connor have in all?

Amanda visited Daytona Lagoon with her mom and

her best friend. They choose Plan C. How much

did they save on the two children’s tickets by

buying combined tickets instead of buying

separate tickets?

PLANS ADULT CHILDPLAN A

WATER PARK$30 $20

PLAN B

AMUSEMENT$40 $30

PLAN C

COMBO PACK$60 $40

Kylie’s Girl Scout troop has 8 girls and 4 adults. How much did the troop pay for

tickets to the amusement park?

PLANS ADULT CHILD

PLAN A

WATER PARK

$30 $20

PLAN B

AMUSEMENT

$40 $30

PLAN C

COMBO PACK

$60 $40

A fourth grader breathes about 50 gallons of air per hour.

Aiden arrives at school at 8:00 a.m. and leaves at 2:00 p.m.

How many gallons of air does he breathe during each school

day?

Last year the fourth graders collected 500 cans of food for

the food drive. This year’s fourth graders want to collect

twice as many cans. How many cans do this year’s fourth

graders need to collect to meet their goal?

Kyle, Juan, and Charles are trying to raise $200 for a local homeless

shelter. Kyle raised 30 dollars and Juan raised 95 dollars. How much

money does Charles need to collect in order to reach their goal?

$200

$30 $95 ?

Mary is buying two beach chairs that cost $46 each. The tax on each chair is

$2.40. What is Mary’s total cost?

Luis walked 5 miles every

day for 37 days to prepare

for the beach walk. Use the

BREAKING APART

strategy to find how many

miles Luis walked in all.

Paige and Leah had a total of $580. After spending $80,

Leah had $240. How much money did Paige have?

The longest blue whale on record was about 18 scuba

divers in length. If an average scuba diver is 6 feet

what is the approximate length of the blue whale?

Jayden had 265 stamps. Adam had twice as many stamps as Jayden. Adam had 179 more stamps than Lucas.

How many stamps did Lucas have?

Brian wants to buy 3 shelves for his bedroom that cost

$168 each. If he has saved up $500, can he buy the

shelves? Will he have money left over? If so, how much?

Mr. Harper had 506 apples at his fruit stand. His friend gave him 87 more apples, and he bought another 59

apples. How many apples did he have altogether?

Mrs. L’s class checked out 15 books from the media center this week.

Mrs. G’s class checked 3 fewer books than Mrs. “L” while Mrs. M’s class check out 7 more than Mrs.

“L”. How many books did each class check out?

Jenna picked 456 oranges from the trees in her yard. She sold 178 of them and threw away 49. How many

oranges does she have left?

COMPENSATION

3 X 18 = ?

3 X 20 = 60

3 X 2 = 6

60 – 6 = 54Choose numbers close to the number to

make it easier. Then adjust the answer.

PRACTICE COMPENSATION

5 x 17 = _____

Substitute 5 x _____ = 100

____ - 17 = 3

5 x 3 = 15

Adjust _____ - 15 = _____

Practice Compensation

4 x 33 = __?__

Substitute

4 x 30 = _____

Adjust

4 x 3 = 12

___ + 12 = ____

add

3 x 296 = _____

Substitute

3 x 300 = _____

Adjust

3 x 4 = 12

___ - ___ = ____

subtract

5 x 108 = _____

Substitute

5 x 100 = _____

Adjust

5 x 8 =

___ + ___ = ____

add

Practice Compensation

107 x 5 = __?__

Substitute

___ x ___ = _____

Adjust

____ x ____= ___

____ _ ____ = ____

+ or -

61 x 8 = __?__

Substitute

___ x ___ = _____

Adjust

____ x ____= ___

____ _ ____ = ____

+ or -

4 x 23 = __?__

Substitute

___ x ___ = _____

Adjust

____ x ____= ___

____ _ ____ = ____

+ or -

64 x 3 = __?__

Substitute

___ x ___ = _____

Adjust

____ x ____= ___

____ _ ____ = ____

+ or -

2 x 599 = __?__

Substitute

___ x ___ = _____

Adjust

____ x ____= ___

____ _ ____ = ____

+ or -

9 x 52 = __?__

Substitute

___ x ___ = _____

Adjust

____ x ____= ___

____ _ ____ = ____

+ or -

44 x 6 = __?__

Substitute

___ x ___ = _____

Adjust

____ x ____= ___

____ _ ____ = ____

+ or -

3 x 195 = __?__

Substitute

___ x ___ = _____

Adjust

____ x ____= ___

____ _ ____ = ____

+ or -

Sara’s puppy is 4 pounds heavier than Megan’s puppy.

If Megan’s puppy is 5 pounds lighter than Lauren’s

puppy. If Lauren’s puppy weighs 39 pounds, what does

Sara’s puppy weigh?

To raise money for new uniforms, the high school band members sold the items

shown below. Use compensation strategies to find how much money they

raised in all.

ITEM COST SOLD

Caps $9 36

Mugs $7 44

Pennants $8 52

Eric and 3 friends bought tickets to a concert. The cost of each ticket was $43. How much did

the tickets cost in all?

Total Cost

$43$43 $43 $43

Adrian is 11 years older than Nathaniel. In twenty years, Nathaniel will be 32 years

old. How old is Adrian now?

A roller coaster at Disney can hold 25 people in each car. How many people can ride each time

if there are 7 cars and each car is full?

Mrs. L bought 187 yards of red cloth and 357 yards of white cloth. If one yard of cloth costs $8, how much did she pay altogether?

A store clerk is stacking soup cans on shelves. If he puts

110 cans on each shelf, how many cans will be on:

4 shelves? _____

6 shelves? _____

9 shelves? _____

12 shelves? _____

Rebecca baked 9 trays of carrot muffins. There were 35 muffins on each tray. Sofia

baked 145 apple muffins. How many muffins did they

bake altogether?

Using Rounding to Estimate

The school is holding a Walk-a-thon. Any class that raises more than $500 wins a prize. Mrs. “B” and Mr. “M” both want to

know if their class wins a prize.

CLASSMILES

WALKEDPLEDGE PER

MILE

Mrs. “B” 193 $4

Mr. “M” 135 $3

Sean bought 10 cartons of drink mix for the football

team. There were 25 packets of mix in each carton. He

has used 246 packets so far. How many packets of drink

mix is left?

Alex and his 2 brothers want to fly to Miami. One airline offers a round-

trip fare of $319. Another airline has a round-trip fare of $389. ABOUT

how much will Alex and his brothers save by buying the less expensive

tickets?

Vanessa bought 10 packages of stickers. There were 28 stickers in each package. She opened all of the packages and arranged the stickers into rows of six.

How many rows of stickers were there? How many stickers were

left over?

Jordan estimates that the

product of 237 x 6 is about 1800.

Is this estimate reasonable?

Why or Why not?

Carlos collected 1,000 stamps. He sold 250 to Bryan and

packed the remaining stamps equally into trays of 10. How

many trays did he use?

Fourth grade students voted on their favorite sports activity. Which sport received the

most total votes?

How many boys voted?

How many girls voted?

Four spoons and 3 forks cost $15. Four spoons and 1 fork cost $13.

What is the cost of 5 forks?

Mrs. “L” and her class had a beach cleanup

on Saturday. The bar graph shows the

amount of trash collected.

Estimate the total items removed from the

beach on Saturday.

There are a total of 30 white and black marbles in a box.

There are 14 more white marbles than black marbles.

How many black marbles are in the box?

An adult female bald eagle has a wingspan of about 7 feet.

since there are 12 inches in one foot, about how long would you estimate a female bald eagle’s

wingspan to be in inches.

Kara is painting her bedroom Barbie

pink. A gallon of pink paint can cover

about 360 square feet of wall space.

About how many square feet of wall

space will 2 gallons cover?

Kara’s bedroom is 11 ft by 14 ft by 8 ft.

How many gallons will she need to

paint her bedroom?

There are 40 students in a class. There are 4 more boys than girls. How many girls

are in the class?

THINK

Which has more pencils,

3 Packs with 40 each

or

4 Packs with 30 each

?

Angelina has 3 piles of books. There

are 49 books in each pile on

her floor. She says she has

1500 books in all. Is her answer

REASONABLE?

Explain WHY or WHY NOT.

The difference between two numbers is 15. If the bigger

number is 98, what is the smaller number?

It is REASONABLE?

Caroline glued sequins on her costume.

She used 28 sequins on each of 7 rows.

How many sequins did she use in all?

Use COMPENSATION to check.

After you solve, make sure to check to see if your answer is REASONABLE.

Landon has 9 marbles.

Owen has 4 times as many

marbles as Landon. How

many more marbles does

Owen have than Landon?

A fish store has 8 empty tanks. After a delivery, the store put

41 fish in each tank. How many fish were in the delivery?

______fish in all______

41

Avery jumped rope for 23 minutes

9 days in a row. How many

minutes did Avery jump rope?

My mom bought 8 boxes of chocolate to give as gifts. Each box has 24

pieces of candy in it. Which number sentence shows the best way to use rounding to estimate the total number

of candies in the boxes?a. 10 x 20 =b. 8 x 24 =c. 10 x 24 =d. 8 x 30 =e. 10 divided by 20 =

Which is another way to find

12 + 12 + 12 + 12 + 12

a. 12 x 1

b. 10 x 12

c. 6 x 10 + 2

d. 5 divided by 12

e. 5 x 12

f. 10 x 6 - 5

g. 10 x 5 + 2

A plane increases its height at a rate of 400 feet per second.

Fill out the FUNCTION chart.

ELAPSED SECONDS

INCREASE in HEIGHT HEIGHT

1 SEC 400 FEET 400 FEET

2 SEC 400 FEET

3 SEC 400 FEET

4 SEC 400 FEET

5 SEC 400 FEET

6 SEC 400 FEET

Julian gets $14 a month for doing

his chores. Which is the best

ESTIMATE of the amount of money

he will have if he puts all of his

money in his bank for 4 months?

a. $80 because 14 is close to 20 and 4 x 20 = 80

b. $40 because 14 is close to 10 so 4 x 10 = 40

c. $60 because 14 is close to 15 so 4 x 15 is 60

d. $50 because 14 + 14 + 14 + 14 is about 50

e. $56 because he didn’t buy any toys at the store

Chase bought a ring that costs 3 times as much as a

watch. If the watch costs $35, how much does the ring

cost?

How much would it cost to purchase both?

Maya’s school has 6 grades with

an average of 63 students per grade.

What is a

REASONABLE Estimate

of the number of students at her school?

a. 123 because 6 + 6 is 12 and add 3 more

b. 420 because 6 x 70 is 420

c. 300 because 60 x 5 is 300

d. 360 because 6 x 60 is 360

e. 378 because 6 x 63 is 378

ABOUT how much money does an American family spend in 8 weeks

to feed an 11 year old child?

MONEY SPENT BY THE AMERICAN FAMILY TO FEED A CHILD

AGE WEEKLY AMOUNT

1 – 2 YEARS $ 27

3 – 5 YEARS $ 31

6 – 8 YEARS $ 42

9 – 12 YEARS $ 49

The jogging trail is 4 miles long. Ian ran around the trail 19 times this week.

He used COMPENSATIONto figure out how far he had jogged.

First he multiplied 4 x 20 = 80What should he do next?

a. 80 + 19b. 80 – 4c. 4 + 80d. 80 x 4

Evelyn baked 386 cookies for the bake sale. She put them into baggies of 3 each. How many baggies did she use? How many cookies were left

over?

How many stickers

does Mr. “R” have

on rolls?

How many more

stickers on sheets

does Mr. “R” have

than stickers in

boxes?

EACH = 10 stickers

Mr. “R” Stickers

sheets

rolls

boxes

Which shows another way

to find

6 + 6 + 6 + 6 ?

a. 6 x 6 x 6 x 6

b. 4 x 60

c. 4 x 6

d. 6 x 6

Audrey had $134. She spent $32 on a new pair of jeans. Then she bought a new bike

that costs three times the price of the jeans. Did she have enough money or did she have money left over?

A factory produces 895 candy bars

each hour. ABOUT how many candy

bars can it produce in an 7 hour day?

Use the COMPENSATION strategy.

a. 620 b. 6300

c. 6260 d. 6000

Circle the equations that are using the

DISTRIBUTIVE PROPERTY4 x 9 = ( 3 x 3 ) + ( 1 x 6 )

4 x 9 = ( 4 x 9 ) + ( 4 x 9 )

4 x 9 = ( 2 x 9 ) + ( 2 x 9 )

4 x 9 = ( 2 x 3 ) + ( 2 x 6 )

4 x 9 = ( 4 x 5 ) + ( 4 x 4 )

Which shows BREAKING APART

or the DISTRIBUTIVE PROPERTY?

5 x 37

a. ( 5 x 30 ) + ( 5 x 7 )

b. ( 5 x 40 ) + ( 5 x 3 )

c. ( 5 x 7 ) – ( 5 x 30 )

d. ( 3 x 30 ) + ( 5 x 7 )

e. ( 30 x 7 ) + ( 5 x 7 )

Which of the following uses COMPENSATION to solve?

2 x 38

( 2 x 40 ) and 80 – 2 =

( 2 x 30 ) and 60 + 8 =

( 2 x 40) and 80 – 4 =

( 2 x 40 ) and 80 + 4 =

( 2 x 30 ) and 60 + 16 =

There are 52 weeks in one year.

If Jocelyn turns 26 today, which is

the best estimate of the weeks Jocelyn

has been alive?

a. 500 weeks b. 700 weeks

c. 1000 weeks d. 1200 weeks

Mrs. M can make 46 brownies

out of one recipe.

If she doubles the recipe, how

many brownies can she make?

_____ _____ = ______

Unit 4

TEST