Name
6.6
Number and
Operations—3.4.K
Also 3.4.E
MATHEMATICAL PROCESSES
3.1.E, 3.1.G
Multiply with 1 and 0
ALGEBRA
?
Essential Question
What happens when you multiply a number by 0 or 1?
Unlock
Unlock the
the Problem
Problem
Luke sees 4 birdbaths. Each birdbath has
2 birds in it. What multiplication sentence
tells how many birds there are?
Draw a quick picture to show the birds
in the birdbaths.
• How many birdbaths are there?
• How many birds are in each
birdbath to start? __
_×_=_
One bird flies away from each birdbath. Cross out 1 bird
in each birdbath above. What multiplication sentence
shows the total number of birds left?
_
→
=
→
_
→
×
birdbaths
bird left
in each birdbath
total number
of birds
Now cross out another bird in each birdbath.
What multiplication sentence shows the total
number of birds left in the birdbaths?
_
=
_
→
×
→
_
→
© Houghton Mifflin Harcourt Publishing Company • Image Credits:
_
birdbaths
birds left
in each birdbath
total number
of birds
Math Talk
Mathematical Processes
What if there were
5 birdbaths with 0 birds
in each of them? What
would be the product?
Explain.
• How do the birdbaths look now? _______
Module 6
203
Connect You have multiplied with 1 and 0. Now you will learn
two properties that will help you find products when multiplying
a number by 1 or by 0.
The Identity Property of Multiplication states that the product
of any number and 1 is that number.
7×1=7
6×1=6
1×7=7
1×6=6
The Zero Property of Multiplication states that the product of
zero and any number is zero.
0×5=0
0×8=0
5×0=0
8×0=0
Share
Share and
and Show
Show
Find the product. Write the multiplication property
you used.
1.
1×3=_
__ Property of Multiplication
Find the product.
2.
5×1=_
3.
0×2=_
4.
4×0=_
5.
1×6=_
6.
3×0=_
7.
1×7=_
8.
0×0=_
9.
8×1=_
Math Talk
Mathematical Processes
Explain how 3 × 1 and
3 + 1 are different.
Problem
Problem Solving
Solving
What pattern do you see when you multiply numbers
with 0 as a factor?
Algebra Complete the multiplication sentence.
11.
_ × 1 = 15
12.
1 × 28 = _
13.
0 × 46 = _
14.
36 × 0 = _
15.
_×5=5
16.
19 × _ = 0
17.
_×0=0
18.
7×_=7
204
© Houghton Mifflin Harcourt Publishing Company
10.
Name
Problem
Problem Solving
Solving
Use the table for 19–21.
19.
Communicate At the circus Jon
saw 5 unicycles. How many wheels
were on the unicycles in all? Write a
multiplication sentence.
_ × _ = __
20.
21.
What’s the Question? Julia used
multiplication with 1 and the information
in the table. The answer is 3.
22.
Multi-Step Mason and Alexis each
have 1 bag of marbles. There are
9 marbles in each bag. How many
marbles do they have altogether?
23.
© Houghton Mifflin Harcourt Publishing Company
Multi-Step Brian
saw some circus vehicles. He
saw 17 wheels in all. If 2 of the
vehicles are cars, how many
vehicles are bicycles and
tricycles?
Circus Vehicles
Type of
Vehicle
Number of
Wheels
Car
4
Tricycle
3
Bicycle
2
Unicycle
1
Write Math
Show Your Work
Write Math
Write a word problem
that uses multiplying with 1 or 0. Show
how to solve your problem.
Module 6 • Lesson 6 205
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble for the correct answer choice.
24.
25.
26.
Use Symbols Maria sees 6 snakes at the zoo. Each
snake has 1 tongue. Which multiplication sentence
shows how many tongues the snakes have in all?
A
6×0=0
C
6×1=6
B
1×1=1
D
6 × 6 = 36
Each box of crayons holds 8 crayons. Robbie has 1 box of
crayons. How many crayons does Robbie have in all?
A
9
C
1
B
8
D
0
Multi-Step Each package of wildflower seeds holds
4 daisy seeds and 5 violet seeds. Haley has 0 packages
of seeds. Which number sentence shows how many
seeds Haley has?
A
0×9=0
B
9−1=0
C
9 + 1 = 10
D
1×9=9
TEXAS Test Prep
206
Use Symbols Eric has 1 pencil box at school. There are
6 pencils in the box. Which number sentence shows how
many pencils there are in Eric’s pencil box?
A
6+1=7
B
0×6=0
C
6−1=5
D
1×6=6
© Houghton Mifflin Harcourt Publishing Company
27.
Number and Operations—3.4.K
Also 3.4.E
MATHEMATICAL PROCESSES 3.1.E, 3.1.G
H o mewo rk
and Practice
6.6
Name
Multiply with 1 and 0
ALGEBRA
Find the product.
1. 6 × 1 = _
2.
0×3=_
3. 1 × 8 = _
4. 4 × 0 = _
5.
9×1=_
6.
Use the table for 7–9.
7.
Patterns of Beads
on a Necklace
Walt strings 1 pattern of yellow
beads on his necklace. Write a
multiplication sentence to show how
many yellow beads he uses in all.
Color
_×_=_
8.
Shoshona uses 1 pattern of
red beads. Write a multiplication
sentence to show how many red
beads she uses in all.
0×1=_
Number of Beads
Red
6
Blue
2
Yellow
3
Green
4
9.
Ella strings 1 pattern of green beads
and 1 pattern of blue beads. How
many beads does she use in all?
11.
There are 3 frogs on each of 5 lily
pads. Two frogs jump off of each lily
pad. Write a multiplication sentence
to show how many frogs are still on
the lily pads.
_×_=_
Problem
Problem Solving
Solving
© Houghton Mifflin Harcourt Publishing Company
10.
There are 2 pancakes on each of
4 plates. The 4 people in the Matsui
family eat all of their pancakes. Write
a number sentence to show how
many pancakes are left on the plates.
_×_=_
_×_=_
Module 6 • Lesson 6
207
TEXAS Test Prep
Lesson
Lesson Check
Check
14.
16.
208
Frank puts 8 placemats on the table.
Each placemat gets 1 plate. Which
multiplication sentence shows how
many plates there are?
13.
Julia has 9 boxes. There is 1 model
car in each box. Which multiplication
sentence shows how many model
cars Julia has?
A
8×1=8
A
0×9=9
B
8 × 8 = 64
B
1×9=1
C
8×0=0
C
9 × 9 = 18
D
8×1=1
D
9×1=9
Each basket hold 5 melons.
Mr. Chavez buys 1 basket. How
many melons does Mr. Chavez have?
A
1
B
5
C
10
D
6
Multi-Step Jayne has 1 box with
4 red crayons and 3 blue crayons.
Which number sentence shows how
many crayons Jayne has?
15.
17.
Noah sets out 7 baskets at the
Farmers’ Market. Each basket
holds 1 watermelon. How many
watermelons does Noah set out?
A
14
B
7
C
8
D
1
Multi-Step Each box holds 6 black
markers and 4 red markers. Derek
has 0 boxes of markers. Which
number sentence shows how many
markers Derek has?
A
1×4=4
B
1×3=3
A
10 × 0 = 10
C
1×7=7
B
0 × 10 = 0
D
3 × 4 = 12
C
10 × 1 = 10
D
10 × 1 = 1
© Houghton Mifflin Harcourt Publishing Company
12.
Name
Module 6 Assessment
Vocabulary
Vocabulary
Vocabulary
Choose the best term from the box.
1.
factors
The answer in a multiplication problem is called
the __.
2.
equal groups
product
(p. 174)
The numbers you multiply are called the __.
(p. 174)
Concepts
Concepts and
and Skills
Skills
Write related addition and multiplication sentences.
3.
3 groups of 9
4.
q TEKS 3.4.D, 3.4.E
5 groups of 7
_+_+_=_
_+_+_+_+_=_
_×_=_
_×_=_
Draw jumps on the number line to show equal groups.
Find the product. q TEKS 3.4.E, 3.4.K
5.
6 groups of 3
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
_×_=_
Write a multiplication sentence for the model. Then use
the Commutative Property of Multiplication to write
a related multiplication sentence. q TEKS 3.4.D, 3.4.E, 3.4.K, 3.5.B
© Houghton Mifflin Harcourt Publishing Company
6.
7.
8.
_×_=_
_×_=_
_×_=_
_×_=_
_×_=_
_×_=_
Module 6
209
Fill in the bubble for the correct answer choice.
You can use objects or models to solve.
9.
TEXAS Test Prep
Beth’s mother made some cookies. She put 4 cookies on
each of 8 plates. Which equation can be used to find the
number of cookies Beth’s mother put on the plates?
q TEKS 3.4.D, 3.4.E, 3.5.B
11.
12.
8+4=■
B
4×4=■
C
8×4=■
D
4+4+4+4+4+4+4+4=■
Josh has 4 dogs. Each dog gets 2 dog biscuits every day.
How many biscuits will Josh need for all of his dogs for
Saturday and Sunday? q TEKS 3.4.E, 3.4.K, 3.5.B
A
4
B
12
C
8
D
16
A unicycle has only 1 wheel. How many wheels are there
on 9 unicycles? q TEKS 3.4.K
A
11
C
1
B
9
D
10
Lindsey needs 3 lengths of ribbon, each
5 inches long. Caleb needs 2 lengths of
ribbon, each 6 inches long. How many
inches of ribbon do they need altogether?
q TEKS 3.4.E, 3.4.K, 3.5.B
Record your answer and fill in the bubbles
on the grid. Be sure to use the correct
place value.
210
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
© Houghton Mifflin Harcourt Publishing Company
10.
A