The solutions to Bridges in Mathematics Grade 3 Student Book Answer Key Unit 5 Module 2 can help students to clear their doubts quickly.
Bridges in Mathematics Grade 3 Student Book Answer Key Unit 5 Module 2
Bridges in Mathematics Grade 3 Student Book Unit 5 Module 2 Session 1 Answer Key
An Array of Fact Families
Label each array below with its dimensions. Then write a multiplication and division fact family to match.
ex:
Question 1.
Answer:
Multiplication and Division facts of the Family:
8 × 4 = 32.
4 × 8 = 32.
32 ÷ 4 = 8.
32 ÷ 8 = 4.
Explanation:
Given dimensions:
Length of the array = 8 units.
Breadth of the array = 4 units.
Multiplication and Division facts of the Family:
8 × 4 = 32.
4 × 8 = 32.
32 ÷ 4 = 8.
32 ÷ 8 = 4.
Question 2.
Answer:
Multiplication and Division facts of the Family:
6 × 3 = 18.
3 × 6 = 18.
18 ÷ 6 = 3.
18 ÷ 3 = 6.
Explanation:
Given dimensions:
Length of the array = 6 units.
Breadth of the array = 3 units.
Multiplication and Division facts of the Family:
6 × 3 = 18.
3 × 6 = 18.
18 ÷ 6 = 3.
18 ÷ 3 = 6.
Question 3.
Answer:
Multiplication and Division facts of the Family:
7 × 5 = 35.
5 × 7 = 35.
35 ÷ 7 = 5.
35 ÷ 5 = 7.
Explanation:
Given dimensions:
Length of the array = 7 units.
Breadth of the array = 5 units.
Multiplication and Division facts of the Family:
7 × 5 = 35.
5 × 7 = 35.
35 ÷ 7 = 5.
35 ÷ 5 = 7.
Question 4.
Answer:
Multiplication and Division facts of the Family:
6 × 6 = 36.
36 ÷ 6 = 6.
Explanation:
Given dimensions:
Length of the array = 6 units.
Breadth of the array = 6 units.
Multiplication and Division facts of the Family:
6 × 6 = 36.
36 ÷ 6 = 6.
Question 5.
Answer:
Multiplication and Division facts of the Family:
5 × 3 = 15.
3 × 5 = 15.
15 ÷ 3 = 5.
15 ÷ 5 = 3.
Explanation:
Given dimensions:
Length of the array = 5 units.
Breadth of the array = 3 units.
Multiplication and Division facts of the Family:
5 × 3 = 15.
3 × 5 = 15.
15 ÷ 3 = 5.
15 ÷ 5 = 3.
Question 6.
Answer:
Multiplication and Division facts of the Family:
5 × 4 = 20.
4 × 5 = 20.
20 ÷ 4 = 5.
20 ÷ 5 = 4.
Explanation:
Given dimensions:
Length of the array = 5 units.
Breadth of the array = 4 units.
Multiplication and Division facts of the Family:
5 × 4 = 20.
4 × 5 = 20.
20 ÷ 4 = 5.
20 ÷ 5 = 4.
Question 7.
Answer:
Multiplication and Division facts of the Family:
5 × 5 = 25.
25 ÷ 5 = 5.
Explanation:
Given dimensions:
Length of the array = 5 units.
Breadth of the array = 5 units.
Multiplication and Division facts of the Family:
5 × 5 = 25.
25 ÷ 5 = 5.
Bridges in Mathematics Grade 3 Student Book Unit 5 Module 2 Session 2 Answer Key
Work Place Instructions 5B Scout Them Out
This is an activity for 1 person. The student needs:
- 1 5B Scout Them Out Multiplication & Division sheet
- a red and a blue colored pencil or crayon
1. The student chooses one of the Scout Them Out sheets.
There are 8 different Scout Them Out sheets, lettered from A through H. Students can do them in any order.
2. The student circles the first set of facts in blue and then uses regular pencil to record the answers. The student circles the second set of facts in red, and then uses regular pencil to record the answers.
3. After the student has completed the multiplication facts, he uses the answers to help solve the division problems on the lower half of the sheet.
Students can use the Multiplication Table Student Book page th ey completed during Unit 2, Module 3, to check their own answers to the multiplication combinations.
Fact Families & Missing Numbers
Question 1.
Write the multiplication and division fact family that belongs with each array.
ex:
a.
____________ × ______________ = _____________
____________ × ______________ = _____________
____________ ÷ ______________ = _____________
____________ ÷ ______________ = _____________
Answer:
_____6_______ × _______5_______ = ______30_______.
______5______ × _______6_______ = ______30_______.
_____30_______ ÷ _____5________ = _______6______.
_____30_______ ÷ _______6_______ = ______5_______.
Explanation:
Given Dimensions:
Length of the array = 6 units.
Breadth of the array = 5 units.
Multiplication and Division facts of the array family:
6 × 5 = 30.
5 × 6 = 30.
30 ÷ 6 = 5.
30 ÷ 5 = 6.
b.
____________ × ______________ = _____________
____________ × ______________ = _____________
____________ ÷ ______________ = _____________
____________ ÷ ______________ = _____________
Answer:
____9________ × ______5________ = ______45_______.
_____5_______ × ______9________ = _____45________.
_____45_______ ÷ ______5________ = ______9_______.
____45________ ÷ ______9________ = ______5_______.
Explanation:
Given Dimensions:
Length of the array = 9 units.
Breadth of the array = 5 units.
Multiplication and Division facts of the array family:
9 × 5 = 45.
5 × 9 = 45.
45 ÷ 9 = 5.
45 ÷ 5 = 9.
Question 2.
Fill in the missing numbers below.
Answer:
Multiplication Equations:
Explanation:
Missing numbers:
2 × ?? = 12.
=> ?? = 12 ÷ 2
=> ?? = 6.
7 × ?? = 35.
=> ?? = 35 ÷ 7
=> ?? = 5.
2 × 8 = ??
=> 2 × 8 = 16.
?? × 5 = 30.
=> ?? = 30 ÷ 5
=> ?? = 6.
9 × 5 = ??
=> 9 × 5 = 45.
3 × ?? = 15.
=> ?? = 15 ÷ 3
=> ?? = 5.
5 × 8 = ??
=> 5 × 8 = 40.
10 × ?? = 30.
=> ?? = 30 ÷ 10
=> ?? = 3.
6 × 5 = ??
=> 6 × 5 = 30.
2 × ?? = 14.
=> ?? = 14 ÷ 2
=> ?? = 7.
5 × ?? = 25.
=> ?? = 25 ÷ 5
=> ?? = 5.
?? × 2 = 18.
=> ?? = 18 ÷ 2
=> ?? = 9.
Question 3.
Solve these equations.
16 + 20 – (2 × 4) = _____________
(7 × 5) + 150 = ______________
(10 × 10) – 79 = _____________
Answer:
16 + 20 – (2 × 4) = 24.
(7 × 5) + 150 = 185.
(10 × 10) – 79 = 21.
Explanation:
Given Equations:
16 + 20 – (2 × 4)
=> 16 + 20 – 8
=> 36 – 8
=> 24.
(7 × 5) + 150
=> 35 + 150
=> 185.
(10 × 10) – 79
=> 100 – 79
=> 21.
Bridges in Mathematics Grade 3 Student Book Unit 5 Module 2 Session 3 Answer Key
What’s Missing? Bingo Board A
Answer:
Explanation:
Facts of families:
4 × 2 = 8.
2 × 4 = 8
8 ÷ 2 = 4.
8 ÷ 4 = 2.
2 × 3 = 6
3 × 2 = 6.
6 ÷ 2 = 3.
6 ÷ 3 = 2.
5 × 2 = 10.
2 × 5 = 10.
10 ÷ 5 = 2.
10 ÷ 2 = 5.
What’s Missing? Bingo Board B
Answer:
Explanation:
Facts of families:
5 × 2 = 10.
2 × 5 = 10.
10 ÷ 5 = 2.
10 ÷ 2 = 5.
4 × 2 = 8.
2 × 4 = 8
8 ÷ 2 = 4.
8 ÷ 4 = 2.
2 × 3 = 6
3 × 2 = 6.
6 ÷ 2 = 3.
6 ÷ 3 = 2.
Fact Families & More
Question 1.
Fill in the missing number in each equation below. Be sure that the number you write makes the equation true.
___________ × 7 = 7
___________ × 9 = 72
6 × ___________ = 36
9 × ___________ = 45
6 × ___________ = 0
__________ × 5 = 35
__________ × 6 = 18
4 × ___________ = 36
28 ÷ ___________ = 7
Answer:
Equations:
______1_____ × 7 = 7
____8_______ × 9 = 72
6 × _____6______ = 36
9 × ____5_______ = 45
6 × ______0_____ = 0
___7_______ × 5 = 35
____3______ × 6 = 18
4 × ______9_____ = 36
28 ÷ ____4_______ = 7
Explanation:
Missing numbers:
?? × 7 = 7.
=> ?? = 7 × 7
=> ?? = 1.
?? × 9 = 72.
=> ?? = 72 ÷ 9
=> ?? = 8.
6 × ?? = 36.
=> ?? = 36 ÷ 6
=> ?? = 6.
9 × ?? = 45.
=> ?? = 45 ÷ 9
=> ?? = 5.
6 × ?? = 0.
=> ?? = 0 ÷ 6
=> ?? = 0.
?? × 5 = 35.
=> ?? = 35 ÷ 5
=> ?? = 7.
?? × 6 = 18.
=> ?? = 18 ÷ 6
=> ?? = 3.
4 × ?? = 36.
=> ?? = 36 ÷ 4
=> ?? = 9.
28 ÷ ?? = 7.
> 28 ÷ 7 = ??
=> 4 = ??.
Question 2.
Complete the fact families below.
Answer:
Multiplication and Division facts of the families:
Explanation:
The fact families:
9 × 3 = 27. 4 × 8 = 32.
3 × 9 =27. 8 × 4 = 32.
27 ÷ 3 = 9. 32 ÷ 4 = 8.
27 ÷ 9 = 3. 32 ÷ 8 = 4.
7 × 6 = 42. 7 × 8 = 56.
6 × 7 = 42. 8 × 7 = 56.
42 ÷ 7 = 6. 56 ÷ 8 = 7.
42 ÷ 6 = 7. 56 ÷ 7 = 8.
More Missing Numbers & Fact Families
Question 1.
Fill in the missing numbers below.
Answer:
Equations:
Explanation:
Missing numbers:
2 × ?? = 12.
=> ?? = 12 ÷ 2
=> ?? = 6.
?? × 3 = 27.
=> ?? = 27 ÷ 3
=> ?? = 9.
7 × ?? = 14.
=> 14 ÷ 7 = ??
=> 2 = ??.
?? × 3 = 30.
=> ?? = 30 ÷ 3
=> ?? = 10.
?? × 2 = 10.
=> ?? = 10 ÷ 2
=> ?? = 5.
10 × ?? = 0.
=> ?? = 0 ÷ 10
=> ?? = 0.
4 × 3 = ??
=> 12 = ??
10 × ?? = 70.
=> ?? = 70 ÷ 10
=> ?? = 7.
4 × 5 = ??
=> 20 = ??.
7 × 3 = ??
=> 21 = ??
6 × ?? = 18.
=> ?? = 18 ÷ 6
=> ?? = 3.
?? × 6 = 30.
=> ?? = 30 ÷ 6
=> ?? = 5.
Question 2.
Write the multiplication and division fact family that goes with each array. Use the arrays to find each product if you need to.
a.
____________ × ______________ = _____________
____________ × ______________ = _____________
____________ ÷ ______________ = _____________
____________ ÷ ______________ = _____________
Answer:
Multiplication and Division facts of the family:
_____7_______ × _______6_______ = ______42_______.
_____6_______ × ________7______ = _______42______.
_____42_______ ÷ _______6_______ = _______7______.
_____42_______ ÷ _______7_______ = _______6______.
Explanation:
Shaded array dimensions:
Length of the array = 7 units.
Breadth of the array = 6 units.
Multiplication and Division facts of the family:
7 × 6 = 42.
6 × 7 = 42.
42 ÷ 6 = 7.
42 ÷ 7 = 6.
b.
____________ × ______________ = _____________
____________ × ______________ = _____________
____________ ÷ ______________ = _____________
____________ ÷ ______________ = _____________
Answer:
Multiplication and Division facts of the family:
_____7_______ × _______8_______ = _____56________.
_____8_______ × ______7________ = ______56_______.
______56______ ÷ ______8________ = _______7______.
_____56_______ ÷ _______7_______ = ______8_______.
Explanation:
Shaded array dimensions:
Length of the array = 8 units.
Breadth of the array = 7 units.
Multiplication and Division facts of the family:
7 × 8 = 56.
8 × 7 = 56.
56 ÷ 8 = 7.
56 ÷ 7 = 8.
Bridges in Mathematics Grade 3 Student Book Unit 5 Module 2 Session 4 Answer Key
Number Puzzles
Question 1.
Read each of the equations below. ¡fit is true, circle the T. If it is false, circle the F.
a. 18 = 9 × 2
T
F
Answer:
Given 18 = 9 × 2 is True statement.
Explanation:
Given Equation:
18 = 9 × 2. (T)
b. 2 × 4 = 4 × 2
T
F
Answer:
Given 2 × 4 = 4 × 2 is true statement.
Explanation:
Given Equation:
2 × 4 = 4 × 2.
=> According to Commutative Laws, its true a × b = b × a.
c. 5 = 10 ÷ 2
T
F
Answer:
Given 5 = 10 ÷ 2 is True statement.
Explanation:
Given Equation:
5 = 10 ÷ 2.
=> 10 divided by2, results 5 as quotient and 0 as remainder.
d. 2 × 3 = 6 × 5 = 30
T
F
Answer:
Given 2 × 3 = 6 × 5 = 30 is false.
Explanation:
Given Equation:
2 × 3 = 6 × 5 = 30
2 × 3 = 6.
6 × 5 = 30.
=> Statement is not correct because 2 × 3 is not equals to 6 × 5 equals 30.
e. 6 × 10 = 12
T
F
Answer:
Given 6 × 10 = 12 is false.
Explanation:
Given Equation:
6 × 10 = 12
=> 6 × 10 = 60 not 12.
=> 6 × 10 = 12 is not correct.
f. 2 × 8 = 4 × 4
T
F
Answer:
Given 2 × 8 = 4 × 4 is True statement.
Explanation:
Given Equation:
2 × 8 = 4 × 4.
2 × 8 = 16.
4 × 4 = 16.
=> 2 × 8 = 4 × 4 = 16 is correct.
g. 3 × 2 = 12 ÷ 2
T
F
Answer:
Given 3 × 2 = 12 ÷ 2 is True statement.
Explanation:
Given Equation:
3 × 2 = 12 ÷ 2.
3 × 2 = 6.
12 ÷ 2 = 6.
=> 3 × 2 = 12 ÷ 2 = 6 is correct.
h. 100 ÷ 2 = 25 × 2
T
F
Answer:
Given 100 ÷ 2 = 25 × 2 is True statement.
Explanation:
Given Equation:
100 ÷ 2 = 25 × 2.
100 ÷ 2 = 50.
25 × 2 = 50.
=> 100 ÷ 2 = 25 × 2 = 50 is correct.
Question 2.
Fill in the missing numbers to make each equation true.
a. 16 = 4 × ____________
Answer:
Given Equation:
16 = 4 × ____4________.
Explanation:
Missing number:
16 = 4 × ??
=> 16 ÷ 4 = ??
=> 4 = ??.
b. 2 × __________ = 4 × 5
Answer:
Given Equation:
2 × ____10______ = 4 × 5.
Explanation:
Missing number:
2 × ?? = 4 × 5.
=> 2 × ?? = 20
=> ?? = 20 ÷ 2
=> ?? = 10.
c. __________ × 10 = 30
Answer:
Given Equation:
____3______ × 10 = 30.
Explanation:
Missing number:
?? × 10 = 30.
=> ?? = 30 ÷ 10
=> ?? = 3.
d. 12 ÷ 2 = ____________
Answer:
Given Equation:
12 ÷ 2 = ______6______.
Explanation:
Missing number:
12 ÷ 2 = ??
=> 6 = ??.
e. 20 ÷ _____________ = 4
Answer:
Given Equation:
20 ÷ ______5_______ = 4.
Explanation:
Missing number:
20 ÷ ?? = 4.
=> 20 ÷ 4 = ??
=> 5 = ??.
f. ____________ ÷ 5 = 5
Answer:
Given Equation:
_____1_______ ÷ 5 = 5.
Explanation:
Missing number:
?? ÷ 5 = 5.
=> ?? = 5 ÷ 5
=> ?? = 1.
g. 25 ÷ 1 = _______________
Answer:
Given Equation:
25 ÷ 1 = _____25__________.
Explanation:
Missing number:
25 ÷ 1 = ??
=> 25 ÷ 1 = 25.
h. 60 = ___________ × 6
Answer:
Given Equation:
60 = ____10_______ × 6.
Explanation:
Missing number:
60 = ?? × 6.
=> 60 ÷ 6 = ??
=> 10 = ??
i. 12 ÷ 2 = 6 × _____________
Answer:
Given Equation:
12 ÷ 2 = 6 × _______1______.
Explanation:
Missing number:
12 ÷ 2 = 6 × ??
=> 6 = 6 × ??
=> 6 ÷ 6 = ??
=> 1 = ??
j. 18 ÷ 2 = _____________ × 3
Answer:
Given Equation:
18 ÷ 2 = _____3________ × 3.
Explanation:
Missing number:
18 ÷ 2 = ?? × 3.
=> 9 = ?? × 3.
=> 9 ÷ 3 = ??
=> 3 = ??.
k. 10 × 10 = 50 × ____________
Answer:
Given Equation:
10 × 10 = 50 × ____2________.
Explanation:
Missing number:
10 × 10 = 50 × ??.
=> 100 = 50 × ??
=> 100 ÷ 50 = ??
=> 2 = ??
l. 10 × 10 = 25 × _____________.
Answer:
Given Equation:
10 × 10 = 25 × ______4_______.
Explanation:
Missing number:
10 × 10 = 25 × ??.
=> 100 = 25 × ??
=> 100 ÷ 25 = ??
=> 4 = ??.
Question 3.
Sara has 3 bags of shells. Each bag has 10 shells in it. Her brother Max has 5 bags of shells. Each bag has 6 shells in it. Do Sara and Max have the same number of shells? Use labeled sketches, numbers, or words to prove your answer.
Answer:
Yes, Sara and Max have the same number of shells of 30.
Explanation:
Number of bags of shells Sara has = 3.
Number of shells each bag has = 10.
Total number of shells Sara has = Number of bags of shells Sara has × Number of shells each bag has
= 3 × 10
= 30.
Number of bags of shells her brother Max has = 5.
Number of shells each bag has = 6.
Total number of shells Max has = Number of bags of shells her brother Max has × Number of shells each bag has
= 5 × 6
= 30.
Question 4.
Briana and Bryan split 10 dollars evenly. Jody, Jamal, and Jasmin split 12 dollars evenly. Did all the kids get the same amount of money? Use labeled sketches, numbers, or words to prove your answer.
Answer:
No, all the kids donot get the same amount of money because Briana and Bryan gets $5 each and Jody, Jamal, and Jasmin gets $4 each.
Explanation:
Number of dollars Briana and Bryan split evenly = 10.
Number of dollars each gets = Number of dollars Briana and Bryan split evenly ÷ 2
= 10 ÷ 2
= 5.
Number of dollars Jody, Jamal, and Jasmin split 12 evenly = 12.
Number of dollars each gets = Number of dollars Jody, Jamal, and Jasmin split 12 evenly ÷ 3
= 12 ÷ 3
= 4.
Question 5.
Write a word problem to go with each of the equations below.
a. 3 × 5 = 15
Answer:
Question: 5 flowers are kept on a table in each of 3 glasses. How many flowets are there in all.
Solution: Total number of flowers in all = Number of glasses × Number of flowers in each glass kept
=> 3 × 5 = 15.
Explanation:
Question: 5 flowers are kept on a table in each of 3 glasses. How many flowers are there in all.
Solution:
Number of flowers in each glass kept = 5.
Number of glasses = 3.
Total number of flowers in all = Number of glasses × Number of flowers in each glass kept
= 3 × 5
= 15.
b. 20 ÷ 4 = 5
Answer:
Question: 20 flowers are kept on a table in each of 4 boxes. How many flowers are in each box.
Solution: Number of flowers in each box = Number of flowers ÷ Number of boxes
=> 20 ÷ 4 = 5.
Explanation:
Question: 20 flowers are kept on a table in each of 4 boxes. How many flowers are in each box.
Solution:
Number of flowers = 20.
Number of boxes = 4.
Number of flowers in each box = Number of flowers ÷ Number of boxes
= 20 ÷ 4
= 5.
Fact Family Triangles
Question 1.
2 × 4 and 4 × 2 are 8. 8 ÷ 2 = 4 and 8 ÷ 4 = 2. Can you see how 2, 4, and 8 are related? That’s why they’re called a fact family. Each of the triangles below shows a fact family. Write 2 multiplication and 2 division facts for each family. The first one has been done for you.
ex:
a.
Answer:
Facts of the families:
6 × 3 = 18.
3 × 6 = 18.
18 ÷ 6 = 3.
18 ÷ 3 = 6.
Explanation:
Given dimensions of the triangle:
6. 3, 18.
Facts of the families:
6 × 3 = 18.
3 × 6 = 18.
18 ÷ 6 = 3.
18 ÷ 3 = 6.
b.
Answer:
Facts of the families:
9 × 5 = 45.
5 × 9 = 45.
45 ÷ 9 = 5.
45 ÷ 5 = 9.
Explanation:
Given dimensions of the triangle:
9. 5, 45.
Facts of the families:
9 × 5 = 45.
5 × 9 = 45.
45 ÷ 9 = 5.
45 ÷ 5 = 9.
c.
Answer:
Facts of the families:
6 × 4 = 24.
4 × 6 = 24.
24 ÷ 6 = 4.
24 ÷ 4 = 6.
Explanation:
Given dimensions of the triangle:
6. 4, 24.
Facts of the families:
6 × 4 = 24.
4 × 6 = 24.
24 ÷ 6 = 4.
24 ÷ 4 = 6.
Question 2.
Several Fact Families went to the amusement park. One member of each family got lost. Write in the missing member of each family. The first one has been done for you.
ex:
a.
Answer:
Figure:
Explanation:
Given dimensions:
12, 3, ??
Missing dimension:
3 × ?? = 12.
=> ?? = 12 ÷ 3
=> ?? = 4.
b.
Answer:
Figure:
Explanation:
Given dimensions:
30, 5, ??
Missing dimension:
30 = 5 × ??
=> 30 ÷ 5 = ??
=> 6 = ??.
c.
Answer:
Figure:
Explanation:
Given dimensions:
9, 4, ??
Missing dimension:
9 × 4 = ??
=> 36 = ??.
d.
Answer:
Figure:
Explanation:
Given dimensions:
21, 7, ??
Missing dimension:
21 = 7 × ??
=> 21 ÷ 7 = ??
=> 3 = ??.
e.
Answer:
Figure:
Explanation:
Given dimensions:
24, 3, ??
Missing dimension:
24 = 3 × ??
=> 24 ÷ 3 = ??
=> 8 = ??.
f.
Answer:
Figure:
Explanation:
Given dimensions:
7, 4, ??
Missing dimension:
?? = 7 × 4
=> ?? = 28.
g.
Answer:
Figure:
Explanation:
Given dimensions:
32, 4, ??
Missing dimension:
32 = 4 × ??
=> 32 ÷ 4 = ??
=> 8 = ??.