Fraction Remainder Quotient - Grants Pass School District 7

Name _______________
Period _________
Oregon Focus
Quotient
Fraction
Remainder
www.oregonfocus.com
Username: grantspass
Password: oregon62
Block 2 ~ Multiplying and Dividing Decimals
Name_______________________________________ Per____________
Self-Assessment
Track your understanding.
Lesson Target
#
2.1
2.2
2.3
2.4
I can find products of
expressions involving multi-digit
whole numbers.
I can find products of
expressions involving decimals.
I can find quotients of
expressions where whole
numbers are divided by 1-digit
whole numbers, including
remainders.
I can find quotients of
expressions where whole
numbers are divided by multidigit whole numbers, including
remainders.
Progress (shade this in)
Starting…
Getting there….
Got it!!
Starting…
Getting there….
Got it!!
Starting…
Getting there….
Got it!!
Starting…
Getting there….
Got it!!
2.5
I can find quotients of
expressions where decimals are
divided by whole numbers.
Starting…
Getting there….
Got it!!
2.6
I can find quotients of
expressions where decimals are
divided by decimals.
Starting…
Getting there….
Got it!!
Look at your ratings to answer the following questions.
What do I understand well?
What do I still need to work on?
What is my plan to improve?
pg. 3
DATE:
________________
WARM-UP:
Standard Algorithm for Multiplication
1.
2.
3.
Multiply right to left. Start with the ones column and move to tens
column (and so on).
Regroup when possible.
Add any partial products to find the final product.
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 4
DATE: ____________
LEARNING TARGET:
VOCABULARY:
NOTES & EXAMPLES:
Multiplying with Decimals
1.
Multiply as if the numbers were whole numbers.
2.
Count number of places after the decimal points in each factor.
3.
Count the same number of places in the product starting from the right
and moving left.
4.
Insert zeros, if needed, to hold place value. Delete zeros that are not
necessary.
5.
Put the decimal point where you stop counting in the answer.
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 5
Lesson 2.2 ~ Multiplying Decimals
Find each product.
1. 4.5  5
2. 9  9.13
3. 7.203  6
4. Monique bought four pairs of shoes that were on sale for $17.95. How much did she pay
altogether?
5. Taylor paid $0.22 cents for every text message he sent. If he sent 55 text messages this month,
how much did he spend?
6. 7.3  4.2
7. 5.23  3.48
8. 8.14  9.2
9. 10.02  6.53
10. 3.99  2.18
11. 0.5  0.3
12. Riley bought 3.5 pounds of dried apples. They cost $2.56 per pound. How much did Riley pay
for the dried apples?
13. Treva noticed that the price tag under a 12.5 ounce box of crackers at the grocery store said
$0.26 per ounce. How much did the box of crackers cost?
14. 0.02  0.003
15. 1.5  0.07
16. 0.91  0.06
17. 5  0.043
18. 0.07  0.03
19. 0.004  0.9
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 6
Lesson 2.2C ~ Multiplying Decimals
Name__________________________________________
Period______
Date____________
Use the information in the table below to solve each problem.
Celery: $0.62 per pound
Peaches: $1.15 per pound
Apples: $1.09 per pound
Chicken: $2.38 per pound
Ground Beef: $2.66 per pound
Pork Roast: $1.89 per pound
Milk: $2.30 per gallon
Cheese: $3.29 per pound
Eggs: $0.89 per dozen
Bread: $1.12 per loaf
Hamburger Buns: $1.52 per package
Muffins: $3.25 per package
1. Melissa bought 3 pounds of celery, 2 pounds of ground beef and 3 loaves of bread. How much did she spend
in all?
2. Casey bought 6 pounds of chicken, 2 pounds of cheese and 2 gallons of milk. Eilee bought 5 pounds of
ground beef, 3 packages of muffins and 4 pounds of peaches.
a. Who spent the most?
b. How much more did they spend than the other person?
3. Andrea bought 2 packages of hamburger buns, 3 pounds of ground beef and 5 pounds of apples. She had a
$20 bill.
a. Did she have enough?
b. If so, how much change did she receive? If not, how much more money does she need?
4. Carla bought 4 pounds of chicken while it was on sale “Buy one pound, get one pound free.” She bought 3
packages of muffins because she had three $0.75 cent off coupons. If she had $15 to spend, how much
change would she get back?
5. You have $30 to spend on groceries. Make a grocery list using the items and prices on the table above, buying
multiple pounds of multiple items. (One pound is only allowed to bring final total closest to $30.) Write the
grocery list, number of pounds purchased and final price for each item. Total the final price of your
groceries.
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 7
DATE:
________________
WARM-UP:
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 8
GAME 1
Round
1
Factor 1
Factor 2
Product
Factor 1
Factor 2
Product
2
3
4
5
6
GAME 2
Round
1
2
3
4
5
6
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 9
DATE:
________________
WARM-UP:
Standard Algorithm for Division





Divide
Multiply
Subtract
Drop Down
Repeat
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 10
DATE: ____________
LEARNING TARGET:
VOCABULARY:
NOTES & EXAMPLES:
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 11
Lesson 2.3 ~ Dividing by 1-Digit Numbers
Name__________________________________________
Period______
Date____________
Find each quotient. Write any remainder as a decimal.
1. 72 ÷ 6 =
2. 92 ÷ 5 =
3. 75 ÷ 4 =
4. Morgan had 35 slices of banana bread to put on trays. She used 4 trays and put an equal number of slices on
each tray. How many slices were on each tray? How many slices were left over?
Find each quotient. Write any remainder as a fraction in simplest form.
5. 48 ÷ 5 =
6. 51 ÷ 3 =
7. 62 ÷ 6 =
8. Barbara had 55 pounds of dog food for her 4 dogs. She fed her dogs equal amounts of dog food before
purchasing more. How many pounds of dog food would each dog eat before she had to purchase more?
Use the information on the graph to answer the each question.
9. J.J.'s Cookie Company put 4 brownies in
each package. How many packages of
brownies did they make? How many
brownies were left over?
J.J.'s Cookie Company
50
45
45
40
40
38
36
35
10. Six oatmeal raisin cookies were in each
package. How many packages were
there? How many oatmeal raisin
cookies were left over?
30
Brownies
Chocolate Chip
Cookies
Sugar Cookies
Oatmeal Raisin
Cookies
11. J.J.'s Cookie Company put 3 chocolate chip cookies in each package. How many packages of chocolate chip
cookies did they make? How many chocolate chip cookies were left over?
12. Kelly wanted to buy 20 packages of sugar cookies. She saw that J.J.'s Cookie Company packaged the sugar
cookies with 2 in each package.
a. Were there enough sugar cookie packages for Kelly to buy?
b. If so, how many packages were left over? If not, how many more packages would she need?
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 12
Lesson 2.4 ~ Dividing by 2-Digit Numbers
Name__________________________________________
Period______
Date____________
Find each quotient. Write any remainder as R__.
1. 132  12 =
2. 231  10 =
3. 414  15 =
4. Melanie had 152 stickers to make scrapbook pages. She put 12 stickers on each page. How many pages did
she make? How many stickers were left over?
Find each quotient. Write any remainder as a fraction in simplest form.
5. 247  10 =
6. 326  14 =
7. 455  11 =
8. Tate ran 115 miles in 10 days while training for his marathon. If he ran the same number of miles each day,
how many miles did he run each day?
Find each quotient. Write any remainder as R__ and as a fraction in simplest form.
9. 1540  14 =
10. 1642  13 =
11. 4550  20 =
12. Charlie had 150 feet of wire. If he cut the wire into 12 equal pieces, how long was each piece of wire?
13. Trevor organized his baseball cards into groups of 10. If he had 314 baseball cards, how many groups of
cards did he have? How many cards were left over?
14. Misty had 1,215 coins. She put the coins into a coin collector book that could hold 12 coins on each page.
How many pages did she use? How many coins were left over?
15. Bailey drove 8,407 miles over 14 days. If she drove the same amount of miles each day, how many miles did
she drive each day?
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 13
DATE:
________________
WARM-UP:
Dividing decimals with whole numbers
1. Divide as if both dividend and divisor are whole numbers.
2. Move the decimal point into the quotient directly above the decimal point in the
dividend.
3. Insert zeros if necessary to hold place value.
4. Some answers will need to be rounded to a given place value.
Good to know!
Sometimes you may need to round to a designated place-value.

Divide until the quotient has one more place-value position than where it is being rounded to. (This
helps you know whether to round up or down.)

You may need to add one or more zeros at the end of the decimal dividend to find the quotient.
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 14
DATE: ____________
LEARNING TARGET:
VOCABULARY:
NOTES & EXAMPLES:
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 15
Lesson 2.5 ~ Dividing Decimals by Whole Numbers
Name__________________________________________
Period______
Date____________
Find each quotient.
1. 7.2  3
2. 5.6  5
3. 15.4  2
4. 9.46  4
5. 16.8  6
6. 20.1  5
At Frank’s Diner, the following items are often ordered. Look at the prices and decide what each family
bought.
Cheeseburger: $7.95
Club Sandwich: $6.65
Fish & Chips: $10.80
7. The Pengras spent $31.80 on four __________________.
8. The Maynards spent $32.40 on three __________________.
9. The Ibsens spent $33.25 on five __________________.
10. The Littles spent $64.80 on six __________________.
11. The Nichols spent $15.90 on two _________________ and $13.30 on two ________________.
12. 0.58  20
13. 1.04  25
14. 0.76  16
15. Eighteen people split $454.50 evenly. How much money did each person receive?
Find each quotient. Round your answer to the nearest hundredth.
16. 7.93  4
17. 15.32  6
18. 25.56  7
19. Sebastian bought 7 pounds of bulk flour. The total cost was $2.65. What is the cost of the flour
per pound? Round to the nearest penny.
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 16
DATE:
________________
WARM-UP:
Dividing decimals with decimals
1. Change the divisor into a whole number by moving the decimal to the right.
2. Move the decimal point in the dividend the same number of places to the right as was moved in
the divisor.
3. Divide the dividend by the divisor.
4. Move the decimal point into the quotient directly above the decimal point in the dividend.
5. Insert zeros, if necessary, to hold place values.
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 17
Lesson 2.6 ~ Dividing Decimals by Decimals
Name__________________________________________
Period______
Date____________
Rewrite each division problem so the divisor is a whole number.
1. 10.49  5.3
2. 5.9  0.6
3. 6.912  1.92
4. 6.4  0.8
5. 1.4  0.5
6. 8.25  3.3
7. 26.4  9.6
8. 56.16  8.64
9. 65.658  7.06
Find each quotient.
10. Angela spent $15.40 at the mall. Derrick spent $38.50. How many times greater was Derrick’s
spending than Angela’s spending?
11. Trent used 2.5 pounds of candy to build an elaborate gingerbread house. Louisa used 3.25
pounds of candy for her gingerbread house. How many times greater was the amount of candy
that Louisa used than the amount that Trent used?
Find each quotient. Round to the nearest tenth, if necessary.
12. 8.53  0.7
13. 11.781  0.25
14. 14.36  2.14
15. 44.98  3.9
16. 65.23  6.4
17. 23.987  6.2
18. Milan bought 2.5 pounds of dried cranberries for $4.95. How much did the dried cranberries
cost for one pound to the nearest cent?
19. Chase lived 24.3 miles away from the middle school. Katira lived 10.7 miles away from the
middle school. How many times greater was the distance that Chase lived away from the
middle school than the distance that Katira lived away from the middle school? Round to the
nearest tenth, if necessary.
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 18
DATE:
________________
WARM-UP:
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 19
GAME 1
Round
Spin
Numbers
1
Record numbers as
tenths and hundredths
0.____ ÷ 0.0____
2
0.____ ÷ 0.0____
3
0.____ ÷ 0.0____
Quotient
Score
Quotient
Score
4
5
6
GAME 2
Round
Spin
Numbers
1
Record numbers as
tenths and hundredths
0.____ ÷ 0.0____
2
0.____ ÷ 0.0____
3
0.____ ÷ 0.0____
4
5
6
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 20
Block 2 ~ Multiplying and Dividing Decimals
School Party
For use after Lesson 2.4
Name__________________________________________
Period______
Date____________
The students at Alejo Middle School are organizing a whole school pizza party. There are 756 students in the
middle school. Use the information below to help the students plan their party. Determine how many pizzas of
each type should be ordered and how many cases of each beverage should be ordered. Determine the total cost
for the pizza and beverages. Use mathematics to justify the order.





The students have a maximum of $900 to spend.
It is assumed that all students will attend the party
At least 270 of each type of beverage must be ordered.
The students must order at least 350 slices of each type of pizza.
Items are sold in the given quantities. Students can purchase multiples of each item, but they cannot
split an item to purchase a portion.
Beverages
Cost
Pizzas
Cost
Soda pop
$4.75 for case of 20
Cheese
$4.99 for medium – 10 slices
Water bottles
$2.60 for case of 24
Pepperoni
$7.50 for large – 12 slices
Juice boxes
$3.24 for case of 10
Hawaiian
$9.25 for large – 12 slices
©2013 SMC Curriculum
Core Focus on Decimals & Fractions
pg. 21
Block 2 Review ~ Multiplying and Dividing Decimals
Name__________________________________________
Period______
1. What is the value of 48  19?
5. What is the value of 0.24  0.05?
A.
B.
C.
D.
A.
B.
C.
D.
67
432
893
912
2. Kyle put 56 boxes of crayons on a shelf. Each box
of crayons held 64 crayons. How many crayons
were on the shelf?
A.
B.
C.
D.
120 crayons
560 crayons
3,584 crayons
4,160 crayons
Date_________
0.012
0.12
1.2
2.1
6. Kim split 68 gummy bears between 5 friends.
How many gummy bears did each friend receive?
How many gummy bears were left over?
A.
B.
C.
D.
12 gummy bears, 8 gummy bears left over
13 gummy bears, 3 gummy bears left over
63 gummy bears, 4 gummy bears left over
73 gummy bears, 0 gummy bears left over
3. What is the value of 6.63  2.9?
A.
B.
C.
D.
17.56
19.227
20.53
22.547
7. Which expressions have a value of 19 14 ? Circle
all that apply.
For numbers 4a – 4c, use the information from the
chart above to determine whether each statement
is TRUE or FALSE when calculated to the nearest
penny.
PRODUCE PRICES PER POUND
Tomatoes
$1.89 per pound
Bananas
$0.54 per pound
Apples
$1.78 per pound
4a. 3.2 pounds of tomatoes
cost $6.05.
TRUE
FALSE
4b. 3.6 pounds of bananas
cost $1.95.
TRUE
FALSE
4c. 5.4 pounds of apples
cost $9.61.
TRUE
FALSE
©2013 SMC Curriculum
A. 77  4
C. 151  8
E. 298  15
B. 231  12
D. 315  16
F. 385  20
8. Elijah cut a 64-inch long board into 6 equal
length boards. How long was each board?
A.
B.
C.
D.
10 inches, 1 inch left over
10 13 inches
10 inches, 3 inches left over
10 23 inches
Core Focus on Decimals & Fractions
pg. 22
9. There were 87 people attending a party. Each
table at the party could seat 12 people. How many
tables were full? How many people were left at a
table that was not full?
A.
B.
C.
D.
6 tables, 15 people left
7 tables, 3 people left
8 tables, 1 person left
9 tables, 0 people left
A.
B.
C.
D.
E.
10. What is the value of 198  13?
A.
B.
C.
D.
13. Jessica cut ribbon for masks. She had 1,180
centimeters of ribbon to cut into equal length
pieces. How many of the ways given below would
use the entire amount of ribbon exactly? Circle all
that apply.
10 R12
13 R9
15 R3
16 R6
25 pieces of 47.2 centimeter long ribbon
35 pieces of 33.7 centimeter long ribbon
32 pieces of 36.8 centimeter long ribbon
40 pieces of 29.5 centimeter long ribbon
59 pieces of 20 centimeter long ribbon
14. Warren had 22.1 inches of wire. He cut pieces
that were 2.6 inches long. How many pieces did he
cut?
11. Leah had 725 ounces of juice to split equally
between 45 people. How many ounces of juice did
each person receive?
A.
B.
C.
D.
7.8 pieces
8.5 pieces
9.9 pieces
11 pieces
A. 16 19 ounces
15. Which equations are true? Circle all that apply.
B. 16 15 ounces
A. 114.3  9 = 12.7
B. 3.293  1.85 = 1.78
C. 24  54 = 0.4
D. 1.56  6 = 9.36
E. 2.4  1.76 = 4.22
C. 16 53 ounces
D. 16 95 ounces
There was 24.8 pounds of dog food to split
between dogs in a kennel. For numbers
12a – 12d, circle YES or NO to indicate whether the
answer is correct when rounded to the nearest
tenth.
12a. 2 pounds per
dog for 12 dogs
12b. 1.7 pounds per
dog for 15 dogs
12c. 1.4 pounds per
dog for 18 dogs
12d. 1.3 pounds per
dog for 20 dogs
©2013 SMC Curriculum
YES
NO
YES
NO
YES
NO
YES
NO
16. Hannah bought 2,500 pounds of grain for her
cows. The grain cost $196. How much did the grain
cost per pound to the nearest penny?
A.
B.
C.
D.
$12.76 per pound
$3.19 per pound
$0.96 per pound
$0.08 per pound
Core Focus on Decimals & Fractions
pg. 23