Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key

Students looking for the Bridges in Mathematics Grade 5 Home Connections Answer Key Unit 4 Module 3 can find a better approach to solve the problems.

Bridges in Mathematics Grade 5 Home Connections Answer Key Unit 4 Module 3

Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Session 1 Answer Key

Using Quarters

Here is an array of quarters.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 1

Question 1.
What is the total amount of money in this array? Use numbers, words, or labeled sketches to explain your answer.
Answer:
Total amount of money is $4,

Explanation:
Given an array of quarters total number of quarters are 16 each quarter is $0.25 that is total amount of money in an array is $0.25 X 16 = $4.

Question 2.
Use the array to help solve these multiplication problems.

a. 4 × 25 =

b. 10 × 25 =

c. 6 × 25 =

d. 12 × 25 =

e. 8 × 25 =

f. 14 × 25 =

Answer:
a. 4 X 25 = 100 ;
b. 10 X 25 = 250 ;
c. 6 X 25 = 150 ;
d. 12 X 25 = 300 ;
e. 8 X 25 = 400 ;
f. 14 X 25 = 350,

Explanation:
Given from the above array solved the multiplication problems.

Question 3.
Rosie says she can solve 24 × 25 using the information above. Do you agree with her? Why or why not?
Answer:
24 X 25 = 600,

Explanation:
Given from above array of quarters 14 X 25 is 350 ;10 X 25 is 250 so, it means that (14 + 10) X 25 = 350 + 250 = 600 therefore I agree with Rosie says that is 24 X 25 = 600.

Question 4.
Use what you know about adding and multiplying money to help solve the multiplication problems below.
ex
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 2
I know there are four 25s in 100 (four quarters in a dollar).
36 is equal to 9 groups of 4. So, 36 X 25 is like 9 X 100.

a.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 3
Answer:
25 X 24 = 600,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-
I know there are four 25s in 100 (four quarters in a dollar). so 24 is equal to 6 groups of 4 so, 24  X 25 is like 6 X 100 = 600 .

b.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 4
Answer:
25 X 32 = 800,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-
I know there are four 25’s in 100 (four quarters in a dollar) so 32 is equal to 8 groups of 4 so, 25 X 32 is like 8 X 100 = 800.

c.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 5
Answer:
25 X 40 = 1,000,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key
I know there are four 25’s in 100 (four quarters in dollar) so ,40 is equal to 10 groups of 4 so, 25 X 40  is like 10 X 100 = 1,000.

d.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 6
Answer:
25 X 34 = 850,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-img-4.jpg
therefore multiplication is done .

e.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 7
Answer:
50 X 2 = 100,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-
Therefore 50 X 2 = 100,

f.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 8
Answer:
50 X 16 = 800,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-img-6.jpg
therefore 50 X 16 = 800.

g.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 9
Answer:
50 X 24 = 1200,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-
therefore 50 X 24 = 1200.

h.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 10
Answer:
50 X 32 = 1600,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-
therefore 50 X 32 = 1600.

i.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 11
Answer:
50 X 33 = 1650,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-
therefore 50 X 33 = 1,650.

j.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 12
Answer:
50 X 17 = 850,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key
therefore 50 X 17 = 850.

k.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 13
Answer:
75 X 2 = 150,

Explanation:

therefore 75 X 2 = 150.

l.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 14
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-
therefore 75 X 16 = 1200.

Challenge
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 15
Answer:
100 X 0.25 25,

Explanation:
Given that 100 X 0.25 so, write 0.25 in fraction form that is 25/100 = 100 X (25/100) = 25.

Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 16
Answer:
600 X 0.25 = 300,

Explanation:
Given from the question first write 0.25 in fraction form that is 600 X 0.25 = 600 X (25/100) = 6 X 25 = 150.

Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 17
Answer:
2.40 X 0.75 = 180,

Explanation:
Given from the question first write 0.75 in fraction form that is 240 X (75/100) = 24 X 75/10 = 1800/10 = 180.

p.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 18
Answer:
360 X 0.75 = 270,

Explanation:
Given from the question first write 0.75 in fraction form that is 75/100. So 360 X (75/100) = 36 X 75/10 = 2700/10=270.

Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Session 3 Answer Key

Multiplication Models & More

There are a variety of ways to multiply 2-digit by 2-digit numbers. Use the model or strategy described in each box to solve the multiplication combination in that box.

Question 1.
Make an easier combination by doubling one factor and halving the other. ex 25 × 48 = 50 × 24 = 100 × 12 = 1,200
a. 25 × 72 = ____ × ____ = ____ × ____ = _____
Answer:
25 X 72 = 50 X 36 = 100 X 18 = 1,800,

Explanation:
Given from the question multiply 2-digit number with 2- digit numbers that is by doubling one factor and having the other that is 25 X 72 = 50 X 36 = 100 X 18 = 1,800.

Question 2.
Use an area model divided into four regions.
14 × 27
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 19
Answer:
27 X 14 = 378,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-
Given from the figure an area 27 X 14 divided into four regions so 27 as 20 + 7 ;14 as 10 + 4 that is by multiplying we get 20 X 10 = 200; 20 X 4 =80 ; 7 X 10 =70 ; 7 X 4 = 28 adding all these  200 + 80 + 70 +28 = 378. So, 27 X 14 = 378 .

Question 3.
Use an area model divided into two regions.
13 × 34
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 20
Answer:
34 X 13 = 442,

Explanation:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key
Given from the figure an area 34 X 13 divided into four regions so 34  as 30 + 4 ; 13 as 10 + 3  that is by multiplying we get 30 X 10 = 300; 30 X 3 =90  ; 4 X 10 = 40 ; 4 X 3 =12  adding all these  300 + 90 + 40 + 12 = 442 so, 34 X 13 = 442.

Question 4.
Multiply to get four partial products and add them up.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 21
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-
Explanation:
Given from above multiplied the numbers then on we adding we get 600 + 100 + 240 + 40 = 980. Therefore 35 X 28 = 980.

Question 5.
Multiply by the tens and then by the ones. Add the partial products to get the answer.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 22
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key

Explanation:
Given from above multiplied the numbers then on we get 500 + 75 = 575 ,so, therefore 25 X 23 = 575.

Making an estimate before solving a problem can help you decide if your answer is reasonable. Make an estimate, solve the problem, and then use your estimate to help decide if your answer makes sense.

Question 6.
The school got new dictionaries for the third, fourth, and fifth graders this year. They got 32 boxes, and there were 16 dictionaries in each box. How many dictionaries did they get altogether?

a. Use rounding or another strategy to decide which estimate below is best. Circle the best estimate.
fewer than 350 dictionaries about 600 dictionaries more than 350 but fewer than 450 dictionaries
Answer:
About 600 dictionaries,

Explanation:
Given that number of boxes are 32 and each box contains 16 dictionaries so, number of dictionaries altogether is 32 X 16 = 512 dictionaries therefore  about 600 dictionaries is best estimate.

b. Solve the problem. Show all your work.
Answer:
32 X 16 = 512 dictionaries,

Explanation:
Given from above number of boxes are 32 and number of dictionaries each box contains is 16 so,
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key
therefore total number of dictionaries are 512.

c. Is your answer reasonable? How can you tell?
Answer:
Yes,

Explanation:
As because they got total number of dictionaries as 512.

Question 7.
Solve these multiplication problems.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 23
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-

Explanation:
Given from above multiplications are solved.

Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Session 5 Answer Key

Maria’s Multiplication,

Question 1.
Maria is practicing solving problems using the standard algorithm for multiplication. She knows the first step, but then she gets stuck. Finish these problems Maria started.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 24
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key

Explanation:
Given from above Maria’s get stuck to multiplication completed the remaining multiplication.

Question 2.
Fill in the boxes to complete the problems.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 25
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-

Explanation:
Given from above completed the problem by filling the boxes.

Question 3.
Conrad always likes to use the standard algorithm. He has to solve 99 × 38. Can you recommend another strategy to Conrad that might be more efficient? Explain.
Answer:
99 X 38 = 3,762,

Explanation:
Given Conard has to solve 99 X 38 the another strategy to use is that take ,
Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-
therefore this strategy is more efficient to Conard to solve 99 X 38.

Question 4.
CHALLENGE. Lydia also likes to use the standard algorithm for multiplication. She has to solve 32 × 8.25. Recommend another strategy to Lydia, and show her how to use that strategy to solve this problem.
Answer:
32 X 8.25 = 264,

Explanation:
Given that Lydia use the standard algorithm for multiplication another strategy to Lydia to solve multiplication is ,
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key
by taking 8.25 as 8 + 0.25 and multiplying with 32 and then adding we get 32 X 8.25 = 264 .

Review

Question 5.
Finish the number pattern for the rule: 2n + 1
3, 5, ___, ___, ___, ___, ___, ___, ___, _____
Answer:
3, 5, 7, 9, 11, 13, 15, 17, 19, 21.

Explanation:
Given rule for number pattern is 2n + 1 so, take n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 . that is 2(1) + 1 = 3 ; 2(2) + 1 = 5 ; 2(3) + 1 = 7 ; 2(4) + 1 = 9 ; 2(5) + 1 = 11 ; 2(6) + 1 = 13 ; 2(7) + 1 = 15 ; 2(8) + 1 = 17 ; 2(9) + 1 = 19 ; 2(10) + 1 = 21. Therefore the number pattern is 3, 5, 7, 9, 11, 13, 15, 17, 19, 21.

Question 6.
Finish the number pattern for the rule: 4n + 1
5, 9, ___, ____, ____, ____, ____, ____, ____, ____
Answer:
5, 9, 13, 17, 21, 25, 29, 33, 37,41.

Explanation:
Given the rule for number pattern is 4n + 1 so, n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. therefore 4(1) + 1 = 5 ; 4(2) + 1 = 9 ; 4(3) + 1=13 ; 4(4) + 1 = 17 ; 4(5) + 1 = 21 ; 4(6) + 1 = 25 ; 4(7) + 1 = 29 ; 4(8) + 1 = 33 ; 4(9) + 1 = 37 ; 4(10) + 1 = 41. therefore the number pattern is 5, 9, 13, 17, 19, 21, 25, 29, 33, 37, 41.

Question 7.
What do you notice about the two number patterns you just completed? How are they similar? How are they different?
Answer:
The two number patterns are for 2n+1 is 3, 5, 7, 9, 11, 13, 15, 17, 19 ,21  and for 4n+1 is 5, 9, 13, 17, 19, 21, 25, 29, 33, 37, 41 so both are similar because both patterns are odd numbers .

Question 8.
Multiply:
a. 8.7 × 10 = _____
Answer:
8.7 X 10 =87,

Explanation:
Given 8.7 X 10 so (87/10) X 10 = 87. So, ten 8.7’s are there that is 87.

b. 8.7 × 100 = ______
Answer:
8.7 X 100 = 870,

Explanation:
Given 8.7 X 100 so (87/10) X 100 = 870 so hundred 8.7 ‘s are there that is 870.

c. 8.7 × 1,000 = ______
Answer:
8.7 X 1000 = 8,700,

Explanation:
Given 8.7 X 1,000 so thousand 8.7’s are there so, (87/10) X 1,000 = 8,700.

d. 8.7 × 0.1 = _____
Answer:
8.7 X 0.1 =0.87,

Explanation:
Given, 8.7 X 0.1 so one tenths of 8.7 are there therefore (87/10) X (1/10) = 0.87.

e. 8.7 × 0.01 = ______
Answer:
8.7 X 0.01= 0.087,

Explanation:
Given 8.7 X 0.01 so, one hundredths of 8.7 are there that is (87/10) X (1/100)=0.087.

f. Look at the zeroes and the decimal points in your answers. What do you notice?
Answer:
The zero are 87,870,8700 and decimal points are 0.87, 0.087 are increasing zeroes and decimal points.

Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Session 7 Answer Key

Skills Review

Question 1.
Solve each problem below using the standard multiplication algorithm.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 26
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-img-23.jpg

Explanation:
Given from above sums solved through standard multiplication algorithm.

Question 2.
Fill in the boxes in the problems below.
a.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 27
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-img-24.jpg

Explanation:
Given from above in the box the number which is multiplied is 8 so that the exact answer is 2,936 respectively.

b.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 28
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-

Explanation:
Given from above sum the numbers are filled according to the multiplied number.

c.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 29
Answer:
Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key-

Explanation:
Given from above sum filled the boxes with correct number which is multiplied and answer is verified.

Review

Question 3.
Alexis has a treasure box. The treasure box is a rectangular prism that measures 8 inches by 12 inches by 25 inches. Use the standard algorithm to determine the volume of the box. Show your work and include units in your final answer.
Answer:
Volume of box is 2,400 cubic inches,

Explanation:
Given measurements of treasure box is 8 inches ,12 inches, 25 inches so volume of box is v=8 x 12 x 25,
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key

therefore volume of treasure box is 2,400 in 3.

Question 4.
Fill in the blanks.

a. \(\frac{1}{2}\) of 84 = ______
Answer:
42,

Explanation:
Given that (1/2) X 84 = 84/2 = 48 .

b. \(\frac{1}{4}\) of 84 = _____
Answer:
21,

Explanation:
Given that (1/4) X 84 = 84/4 = 21.

c. \(\frac{1}{8}\) of 84 = _____
Answer:
10.5,

Explanation:
Given that (1/8) X 84 =84 /8 =10.5.

d. \(\frac{1}{2}\) of ____ = 62
Answer:
31,

Explanation:
Given that (1/2) X 62 =62/2= 31.

e. \(\frac{1}{4}\) of ____ = 31
Answer:
\(\frac{1}{4}\)of 124 = 31,

Explanation:
Given that (1/4) X 124 = 124/4 = 31 .

Question 5.
True or False?

a. \(\frac{1}{4}\) of 28 = \(\frac{1}{8}\) of 14
Answer:
False,

Explanation:
Given that (1/4)  X 28  = (1/8) X 14 so 7 # 1.75, so both are not equal  therefore it is false.

b. \(\frac{1}{8}\) of 32 = \(\frac{1}{4}\) of 16
Answer:
True,

Explanation:
Given that (1/8) X 32  = (1/4) X 16 so 4 = 4 so, both are equal therefore it is true .

c. \(\frac{1}{2}\) of 56 = \(\frac{1}{4}\) of 28
Answer:
False,

Explanation:
Given (1/2) X 56 = (1/4) X 28 so 28 # 7 so both are not equal therefore it is false.

Question 6.
Add or subtract. Use the space below to show your work if necessary.
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 30
Answer:
 Bridges-in-Mathematics-Grade-5-Home-Connections-Unit-4-Module-3-Answer-Key

Explanation:
Given from above table completed the add and subtract according their respective sums.

Question 7.
CHALLENGE Randall has $5.00 to spend on snacks at the movies. Use the table to figure out three snacks Randall can buy for $5.00. Show your thinking. Is that the only combination of three snacks Randall can buy? How do you know?
Bridges in Mathematics Grade 5 Home Connections Unit 4 Module 3 Answer Key 31
Answer:
Three snacks Randall can buy are Cookie, Lemonade, Candy bar,

Explanation:
Given from the above table total money spent on snacks is $5.00 so the three snacks were Cookie , Lemonade, Candy bar because adding these three combination snacks Randal can buy for $5.00 that is $2.25 + $1.19 +$1.29 = $4.73.

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