Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key

Practicing the Bridges in Mathematics Grade 4 Student Book Answer Key Unit 7 Module 3 will help students analyze their level of preparation.

Bridges in Mathematics Grade 4 Student Book Answer Key Unit 7 Module 3

Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Session 1 Answer Key

Multiplication Story Problems Record Sheet

Question 1.
Use sketches and numbers to solve each of these story problems with your class.
a
b
c
Answer:

Single-Digit Multiplication

Question 1.
Use a sketch and numbers to solve the problems below. Follow the example.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 1
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 2
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-1

Explanation:
By using a sketch and numbers we have solved the problems above.

Question 2.
Use numbers to solve these problems.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 3
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-3

Explanation:
We have solved the problem using the given numbers.

Double-Digit by Single-Digit Multiplication

Question 1.
Use a sketch and numbers to solve the problems below. Follow the example.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 4
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 5
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-4
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-5

Explanation:
We have used a sketch and numbers to solve the problems below.

Question 2.
Use numbers to solve these problems.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 6
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-6

Explanation:
We have solved the given numbers

Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Session 2 Answer Key

Roll Your Own Multiplication Problems

For the problems below:

  • Choose a die numbered 1-6 or 4-9.
  • Roll it as many times as you need to fill in each of the boxes below. You can write each number you roll in any box on the sheet, but once all the boxes are filled, you can’t change them.
  • Use the method you just learned in class to solve your problems.
  • When you’re finished, trade papers with a classmate and have him or her check your answers.
    Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 7

    Answer:
    Here, we have chosen a die numbered 1-6 or 4-9 and rolled it as many times as we needed to fill in each of the boxes below then we wrote each number that was rolled in any box on the sheet, but once all the boxes are filled, we haven’t change them.
    Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-7

Question 1.
CHALLENGE Use each of these digits just one time: 0 1 2 3 4 5 6 7 8 9 Write them in the empty spaces below to make each problem correct.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 8
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-8

Explanation:
We used each of these digits just one time: 0 1 2 3 4 5 6 7 8 9 and wrote them in the empty spaces below to make each problem correct.

Practice with the Standard Algorithm

Maddie and her mom got 6 boxes of treats for their dogs. There are 34 treats in each box. How many treats did they get for their dogs?

To solve this problem, multiply 6 × 34. Here are two different methods:

Question 1.
You can make a sketch and list the partial products. Then you can add them.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 9

Question 2.
You can also multiply by using the standard algorithm. If you use this method, you don’t have to list the partial products.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 10
Multiply the ones. 6 × 4 = 24 ones. Since 24 is 2 tens plus 4 ones, write the 4 in the ones place and write the 2 tens above the 3 in the tens place.
Multiply the tens. 6 × 3 = 18 tens. Add the 2 tens you carried over to the 18 tens. Write 20 tens in the tens and hundreds place.

Use the standard algorithm to solve the problems below.

Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 11
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-11

Explanation:
We have multiplied the given numbers. Check the above for more explanation.

Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Session 3 Answer Key

Multiplication Methods

Here are three different ways to solve 4 × 199.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 12
Question 1.
Use the standard algorithm to solve each problem below. Then solve it a different way. Label your method. Circle the method that seemed quicker and easier.
a.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 13
Standard Algorithm: _______________
A Different Way: _______________
Answer:
The product of 37 and 4 is 148.

Explanation:
By multiplying 37 and 4 using standard algorithm, so the product will be 148.
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-13
To know the product of 37 and 4 we will use partial product which is
4 × 30 = 120,
4 × 7 = 28
120+28 = 148.

b.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 14
Standard Algorithm: _______________
A Different Way: _______________
Answer:
The product of 63 and 7 is 441.

Explanation:
By multiplying 63 and 7 using standard algorithm, so the product will be 441.
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-14
To know the product of 63 and 7 we will use partial product which is
7 × 60 = 420,
7 × 3 = 21,
420+21 = 441.

c.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 15
Standard Algorithm: _______________
A Different Way: _______________
Answer:
The product of 299 and 6 is 1,794.

Explanation:
By multiplying 299 and 6 using standard algorithm, so the product will be 1794.
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-15
Here, we will use over strategy to find the product of 299 and 6 which is
as 299 is almost 300, so
300×6 = 1800,
1800-6 = 1,794.

d.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 16
Standard Algorithm: _______________
A Different Way: _______________
Answer:
The product of 749 and 7 is 5,243.

Explanation:
By multiplying 749 and 7 using standard algorithm, so the product will be 5,243.
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-16
Here, we will use partial product which is
7 × 700 = 4900,
7 × 40  =   280,
7 × 9    =    63
4900+280+63 = 5,243.

Question 2.
Fill in the bubble to show the best estimate for each problem.
a.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 17
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 18 200
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 18 250
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 18 300
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 18 350
Answer:
300.

Explanation:
The product of 43 and 7 is 301, so the best estimated product is 300.
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-17

b.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 19
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 18 700
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 18 800
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 18 900
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 18 1,000
Answer:
900.

Explanation:
The product of 226 and 4 is 904, so the best estimated product will be 900.
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-19

Question 3.
The fourth and fifth graders at King School went to the museum yesterday in 7 buses. There were 65 students on each bus. How many students were there in all? Write and solve an equation for this problem. Show all your work.
Answer:
The equation is 65×7 = 455.

Explanation:
Given that the fourth and fifth graders at King School went to the museum yesterday in 7 buses and there were 65 students on each bus. So the number of students were in all is 65×7 which is 455 students. The equation is 65×7 = 455.

Question 4.
CHALLENGE The big building downtown has 27 floors. There are 8 offices on each floor. Each office has 8 computers. How many computers are there in all? Write and solve an equation for this problem. Show all your work
Answer:
The equation will be (27×8)×8 = 1,728.

Explanation:
Given that the big building downtown has 27 floors and there are 8 offices on each floor which is 27×8 = 216 offices. And each office has 8 computers which is 216×8 = 1,728 computers in all. So the equation will be (27×8)×8 = 1,728.

Two Different Multiplication Methods

Question 1.
Solve each problem below. Use the standard algorithm at least two times. Use the partial products method at least two times.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 20
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-20

Explanation:
We have solved each problem below by using the standard algorithm at least two times and using the partial products method at least two times.

Question 2.
Ramon bought 8 big cases of breakfast cereal. Each case held 12 boxes of cereal. How many boxes of breakfast cereal did Ramon buy?

  • Restate the question in your own words:
  • Underline the information in the problem you do need to solve the problem.
  • Cross out the information in the problem you don’t need to solve the problem.
  • Solve the problem. Show all your work.

Answer:
The number of boxes Ramon bought is 96 boxes.

Explanation:
Given that Ramon bought 8 big cases of breakfast cereal and each case held 12 boxes of cereal. So the number of boxes of breakfast cereal did Ramon bought is 12×8 which is 96 boxes.

Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Session 4 Answer Key

Double-Digit Multiplication Sketches

Question 1.
Mr. Green’s 1st grade classroom is 18 feet wide and 24 feet long. He is planning to divide it into 4 sections. Here is his plan. Write a multiplication equation in each section to show its area in square feet.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 21

Answer:
The multiplication equation will be 200+160+40+32 = 432.

Explanation:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-21
The multiplication equation will be
10×20 = 200
8×20 = 160
10×4 = 40
8×4 = 32
which is 200+160+40+32 = 432.

a. What is the total area of the 18-by-24-foot classroom? Show your work.
Answer:
The total area of the classroom is 432 sq ft.

Explanation:
Given that Mr. Green’s 1st grade classroom is 18 feet wide and 24 feet long. So the area of the classroom is 18×24 which is 432 sq ft.

Question 2.
Write the answers.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 22
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-22

Explanation:
Check the above figure for the multiplication of the given numbers.

Question 3.
Sketch an array for each of the frames below. Label each part with a multiplication equation to show its area. Then find the total area of the array.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 23
total area = ______________

Answer:
The total area is 368.

Explanation:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-23
The total area of the array is 23×16 which is 368.

Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 24
total area = ______________

Answer:
The total area is 266

Explanation:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-24
The total area of the array is 19×14 which is 266.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 25
total area = ______________
Answer:
The total area is 308.

Explanation:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-25

The total area of the array is 22×14 which is 308.

Question 4.
Write the answers.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 26
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-26

Explanation:
The multiplication for the given numbers is the above figure.

Multiples of Ten & More

Question 1.
Write the answers.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 27
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-27

Explanation:
The multiplication for the given table is done in the above figure.

Question 2.
Multiply each number in the top row by the number at the left. The first one is done for you as an example.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 28
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-28

Explanation:
We have multiplied each number in the top row by the number at the left. Check the given figure for more answers.

Question 3.
Tyrone says you can use the answers in the first two charts of problem 2 to help figure out the answers in the third row. Do you agree with him? Why or why not?
Answer:
Yes, I agree with Tyrone. Because by adding chart 1 and chart 2 we will get the third row.

Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Session 5 Answer Key

Double-Digit Multiplication

Question 1.
Find the product of each pair of numbers below. Make a labeled sketch to help, or just use numbers. Show all of your work.
a.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 29
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-29

Explanation:
The multiplication of the given two digit numbers is 648.

b.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 30
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-30

Explanation:
The multiplication of the given two digit numbers is 828.

c.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 31
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-31

Explanation:
The multiplication of the given two digit numbers is 675.

d.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 32
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-32

Explanation:
The multiplication of the given two digit numbers is 408.

e.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 33
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-33

Explanation:
The multiplication of the given two digit numbers is 828.

Question 2.
Solve the story problems below. Make a labeled sketch to help, or just use numbers. Show all of your work.
a. Tonya works at a sporting goods store in the mall. Last week, she unpacked 28 boxes of new sweatpants. Each box had 24 pairs of sweatpants in it. How many pairs of sweatpants did she unpack?
Answer:
Tonya has 672 new sweatpants unpacked.

Explanation:
Given that Tonya works at a sporting goods store in the mall and in last week, she unpacked 28 boxes of new sweatpants. In each box Tonya had 24 pairs of sweatpants. So the number of pairs of new sweatpants unpacked are 28×24 which is 672 pairs.
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-19

b. Tonya made 23 stacks of sweatshirts. She put 17 shirts in each stack. How many shirts did she stack in all?
Answer:
The number of shirts did she stack in all is 391 shirts.

Explanation:
Given that Tonya made 23 stacks of sweatshirts and she put 17 shirts in each stack. So the number of shirts did she stack in all is 23×17 which is 391 shirts.
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-19

c. CHALLENGE Then Tonya made 24 stacks of shorts. She put 16 pairs of shorts in each stack. The store she works for had to pay $4.99 for each pair of shorts. How much did they have to pay for all the pairs of shorts Tonya stacked?
Answer:
Tonya will pay $1,916.16.

Explanation:
Given that Tonya made 24 stacks of shorts and she put 16 pairs of shorts in each stack. So the number shorts will be 24×16 which is 384 pairs shorts and she pays $4.99 for each pair. So Tonya will pay 4.99×384 which is $1,916.16.

Four Partial Products Practice

Multiply to get four partial products and add them up. The first one has been done for you as an example.
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 34
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 35
Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key 36
Answer:
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-34
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-35
Bridges-in-Mathematics-Grade-4-Student-Book-Unit-7-Module-3-Answer-Key-36

Explanation:
We have multiplied to get four partial products and added them up. Check the other answers in the given figure.

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