Comparison Problems in Multiplication

Multiplicative Comparisons

Multiplication as Comparison

I can multiply to compare

Let's do some warm ups!!

Fill in the Blank

1 x 8 =

Multiple Choice

How many apples are there?

Choose the correct multiplication sentence.

• 3 x 4 = 12

• 2 x 5 = 10

• 5 x 3 = 15

Multiple Choice

Choose the correct addition sentence representing this picture.

• 3 + 3 + 3 + 3 =12

• 4 + 4 + 4 =12

• 2 x 3 = 6

Times

Times as many

Times as much

Multiply

Compare

Fill in the Blank

Mona has 5 pencils. Her sister has TWICE AS MANY pencils. How many pencils does her sister have?

Multiple Choice

Mona made 21 cupcakes. This is three times as many what Aysha made. How many cupcakes did Aysha make?

• 7 cupcakes

• 63 cupcakes

• 3 cupcakes

Key Terms

• Factor

• Commutative Property

Factor

Factor: numbers that are multiplied together to get the answer (product).

Example:

8 x 5 = 40; Factors are 8,5

3 x 7 = 21; Factors are 3,7

9x2 = 18 ; Factors are ____

6 x 4 = 24; Factors are ____

Commutative Property

You can multiply two numbers (factors) in any order. It doesn't matter which factor comes first the product (answer) will be the same.

Example: Commutative Property

7x3=21 __x __= 21

Multiple Select

Identify all the factors in the following problem: 4 x 5 = 20

(hint there are 2 answers)

• 4

• 20

• 5

Multiple Choice

True of False: 10 x 2 is the same as 2 x 10.

• True

• False

Multiple Choice

Select the correct operation (use your chart for help):

Jamir did 20 pushups on Monday, he did 5 fewer pushups on Tuesday. How many more pushups did he do on Monday than on Tuesday?

• add

• subtract

• multiply

• divide

Multiple Choice

Select the correct operation (use your chart for help):

Ke'Neice has 5 apples. She goes to the store and buys 10 more. How many apples does she have in total?

• add

• multiply

• subtract

• divide

Multiple Choice

Select the correct operation (use your chart for help):

Miss Rodarte is 26. Her mom is twice as old as her. How old is her mom?

• add

• subtract

• multiply

• divide

Poll

How do you feel after this lesson?

• I don't understand.

• I can do it with help.

• I understand and can teach the class.

• I understand.

Fill in the Blank

There are 8 students in the art club. There are three times as many students in the chorus. How many students are in the chorus?

Write an equation.

Multiple Select

Which answer below shows a comparison sentence for 5 x 4 = 20

Select all that apply.

• 20 is 4 times as many as 5

• 5 more than 4 is 20

• 4 times 20 is 5

• 5 times as many as 4 is 20

Multiple Select

Write an equation for 2 times as many as 8 is 16.

Check all that apply.

• 2 + 8 =16

• 2 x 8 =16

• 8 x 2 =16

• 16 - 2=8

Let's REVIEW!!!

Multiplicative Comparisons

To write a multiplicative comparison as a multiplication equation, replace the

words with symbols. See the example.

Here is another example.

• The wording of the comparison will determine where you put the equals sign in your equation.

• The equal sign is not always at the end.

To Write a Multiplicative Comparison

• Read the equation

• Replace the symbols with words

• x: times as many/ times as much

• = : is

IMPORTANT!!!

x- times AS MANY/ times AS MUCH

The x does NOT just mean times.

Open Ended

Write a multiplication comparison sentence for: 24 =4 x 6,

use this sentence stem to help you write it .

____ is ____ times as many as ____.

Multiple Choice

6 times as many as _____ is 48.

• 7

• 9

• 8

• 6

Multiple Choice

28 is 7 times as many as ____.

• 6

• 4

• 8

• 5

Multiple Choice

Emma has 5 times as many softballs as Bryce. Together they have 35 softballs. How many does Emma have?

• 24

• 6

• 30

• 7

Multiple Choice

Zack has completed 4 times as many levels in Freckle as David. David has completed 9 levels. How many has Zack completed?

• 15

• 18

• 36

• 10

Multiple Choice

Estimate the product. 35 x 4 =

• 210

• 140

• 320

• 350

Multiple Choice

Make a comparison sentence.

54= 9 x 6

____ is _____ times as many as _____.

• 6 is 9 times as many as 54

• 54 is 9 times as many as 6

• 9 is 6 times as many as 54

Multiple Choice

Find the product.

326 x 8 =

• 2,468

• 2,408

• 2,602

• 2,608

Multiple Choice

Katy has 7 times as many nickels as Shaun. Shaun has 8 nickels. How many nickels does Katy have?

• 15

• 1

• 56

• 24

Multiple Choice

Amber tied 35 knots. Hunter tied some too. Amber tied 5 times as many as Hunter. How many did Hunter tie?

• 175

• 7

• 30

• 5

Multiple Choice

Joe played piano for h hours. His sister played for 18 hours, which was 9 times as many as Joe. Which equation matches?

• 162 = 18 x h; h = 9

• 36 = 18 x h; h = 2

• 18 = 9 x h; h = 2

• 18 = 2 x h; h = 9

Multiple Choice

Tina walked 30 miles for a fundraiser. Lia walked m miles. Tina walked 5 times as far as Lia. Which equation matches?

• m = 5 x 30

• 30 = 5 x m

• 30 = m + 5

• m = 30 + 5

Multiple Choice

Natalia scored 9 points in the game. Carmen scored 6 times as many points as Natalia. How many points did Carmen score?

• 3

• 54

• 15

• 63

Fill in the Blank

Nikki swam 7 laps. Jared swam 6 times as many laps as Nikki. Jared swam 42 laps. Create an equation to match the story.

Fill in the Blank

Al has 4 berries in his bowl. He has 6 times as many grapes than berries. Al has 24 grapes. Create equation to match.

Fill in the Blank

Ava has 36 photos of animals and she has 4 times as many as Stu. Stu has 9 photos of animals. Create equation to match.

Multiple Choice

Emma ran 3 times as far as Sonia. Sonia ran 4 miles. How far did Emma run? Emma says she ran 7 miles? True or False?

• True

• False

Multiple Choice

Molly had 10 times as many stickers as Gabby. Gabby had 7 stickers. Molly said that she had 70 tickers. True or False?

• True

• False

Fill in the Blank

Steph has 4 cars. Cody has 4 times as many cars as Steph. How many cars does Cody have? Create equation to match.

Multiple Choice

Cesar ate 5 times as many cookies as Liam. Cesar ate 15 cookies. How many did Liam eat?

• 3

• 30

• 13

• 45

Multiple Choice

Buying ice skates is 8 times greater than renting. The cost to buy ice skates is $64. How much does it cost to rent?

• $512

• $72

• $56

• $8

Multiple Choice

Joe has some baseball cards. Erin has 5 times as many as Joe. Erin has 45 cards. How many does Jo have?

• 45

• 5

• 9

• 1

Multiple Choice

Choose the correct number sentence for:

21=3×7

• 21 times 3 is as many is 7

• 3 times as many as 21 is 7

• 21 is 3 times as many as 7

• 7 times as many as 21 is 3

Multiple Choice

Choose the correct equation for:

9 times as many as 5 is 45

• 5 x 45 =9

• 9 x 5 = 45

• 9 x 45 = 5

• 4 x 5 = 20

Multiple Choice

Choose the correct number sentence for:

6 times as many as 6 is 36

• $$6\times6=36$$
  

• $$36\div6=6$$

• $$6\times36=6$$

• $$6+6=36$$

Multiple Choice

Choose the correct number sentence for:

56 = 8 x 7

• 56 is 8 times as many as 7

• 7 is 56 times as many as 7

• 8 is 7 times as many as 56

• 56 is as many as 7 is 56

Multiple Choice

Choose the correct equation for:

12 times as many as 2 is 24

• $$24\times2=12$$
  

• $$3\times4=12$$

• $$12\div4=3$$

• $$12\times2=24$$

Multiple Choice

Choose the correct number sentence for:

30 = 10 x 3

• 3 is 30 times as many as 10

• 7 is 56 times as many as 7

• 30 is 10 times as many as 3

• 10 is times as many as 30 is 3

Multiple Choice

Choose the correct equation for:

7 times as many as 7 is 49

• $$49\times7=7$$

• $$49\div7=7$$

• $$7\times7=49$$

• $$7+7=49$$

Multiple Choice

Peter won 6 tickets yesterday. Today Peter won 3 times more tickets than yesterday. How many tickets did peter win today?

• 24

• 34

• 18

• 6

Multiple Choice

Tracy raised $50 for the shelter last year. This year she raised $100. How many times more did she raise than last year.

50 x n = 100

• 3

• 2

• 1

• 0

Multiple Choice

Bob has 3 times more birds than Paul. Bob has 24 birds. How many birds does Paul have?

3 x n = 24

• 8

• 3

• 7

• 6