We included HMH Into Math Grade 3 Answer Key PDF Module 7 Lesson 3 Multiply and Divide with 2, 4, and 8 to make students experts in learning maths.
HMH Into Math Grade 3 Module 7 Lesson 3 Answer Key Multiply and Divide with 2, 4, and 8
I Can use more than one strategy to solve multiplication and division problems with 2, 4, and 8 as factors and divisors.
Step It Out
1. There are 16 friends playing on a field. How can they make teams of 2, teams of 4, and teams of 8?
A. Show equal groups of 2, 4, and 8.
Answer:
2×8 = 16,
4×4 = 16,
8×2 = 16.
Explanation:
Given that there are 16 friends playing on a field. So to make a team of 2 there will be 8 groups which are 2×8 = 16. And to make a team of 4 there will be 4 groups which are 4×4 = 16 and to make a team of 8 there will be 2 groups which are 8×2 = 16.
B. What equations can you write to show equal groups of 2, equal groups of 4, and equal groups of 8?
Answer:
2×8 = 16,
4×4 = 16,
8×2 = 16.
Explanation:
The equations are 2×8 = 16, 4×4 = 16, and 8×2 = 16.
Turn and Talk How are the equations for teams of 2 related to the equations for teams of 8?
Step It Out
2. Yan has a 20-inch length of string. He cuts the string into pieces that are each 4 inches long. How many pieces of string does Yan have?
Answer:
The number of pieces of string Yan had is 20÷4 = 5 strings.
Explanation:
Given that Yan has a 20-inch length of string and he cuts the string into pieces that are each 4 inches long. So the number of pieces of string Yan had is 20÷4 = 5 strings.
A. Start at 20 and count back using equal groups of 4. Complete the jumps on the number line. Count the jumps.
Answer:
The number of jumps is 5 jumps.
Explanation:
The number of jumps is 5 jumps.
B. How many pieces of string does Yan have?
Answer:
5 pieces.
Explanation:
There are 5 pieces of string Yan had.
3. The students in the science lab are working in 3 groups. Each group has 8 students. How many students are there?
Answer:
There are 24 students in total.
Explanation:
Given that there are 3 groups of people working in the science lab and each group has 8 students. So the number of students in total is 3×8 which is 24 students.
A. Use doubles and multiply.
Double the product. ___ + ___ = ____
Answer:
12+12 = 24.
Explanation:
To double the product first we will break the number 8 to 4+4 and then we will multiply by 3. So 4×3 = 12. So the doubling product will be 12+12 = 24.
B. How many students are there?
________________________
Answer:
There are 24 students.
Turn and Talk How can using doubles help you multiply?
4. There are 32 dancers in a parade. The dancers are arranged in equal rows as shown. How many rows are there?
Answer:
The number of rows will be 4 rows.
Explanation:
Given that there are 32 dancers in a parade and the dancers are arranged in equal rows. So the number of rows will be 32 ÷ 8 = 4 rows.
A. Draw an array to show equal groups.
B. Write related facts for the array.
______ ______
______ ______
Think: Related facts are a set of related multiplication and division equations.
Answer:
8×4 = 32,
4×8 = 32,
32÷8 = 4,
32÷4 = 8.
Explanation:
The related facts will be 8×4 = 32, 4×8 = 32 and 32÷8 = 4, 32÷4 = 8.
C. How many rows are there? ________
Answer:
There are 4 rows.
Turn and Talk How can you use multiplication to solve a division problem?
Check Understanding Math Board
Multiply or divide.
Question 1.
__ = 2 × 3
Answer:
2 × 3 = 6.
Explanation:
The multiplication of 2 × 3 is 6.
Question 2.
72 ÷ 8 = ___
Answer:
72 ÷ 8 = 9.
Explanation:
The division of 72 ÷ 8 is 9
Question 3.
__ = 4 × 7
Answer:
4 × 7 = 28.
Explanation:
The multiplication of 4 × 7 is 28.
Question 4.
There are 12 players on the volleyball court. Each side of the volleyball court has the same number of players. There are 2 sides. How many players are on each side? ____
Answer:
The number of players on each side is 6 players.
Explanation:
Given that there are 12 players on the volleyball court and each side of the volleyball court has the same number of players. As there are 2 sides, the number of players on each side is 12÷2 = 6 players.
Question 5.
The length of a field is 32 feet. A coach places a strip of tape every 8 feet. How many strips of tape does the coach place? ____
Answer:
The number of strips of tape does the coach place is 4 strips.
Explanation:
Given that the length of a field is 32 feet and a coach places a strip of tape every 8 feet. So the number of strips of tape does the coach place is 32÷8 which is 4 strips.
On Your Own
Question 6.
Model with Mathematics An art teacher has 40 crayons in some boxes. Each box has 8 crayons. How many boxes of crayons does the art teacher have? Write an equation to model the problem.
Answer:
The equation is 40÷8 = 5 boxes.
Explanation:
Given that an art teacher has 40 crayons in some boxes and each box has 8 crayons. So the number of boxes of crayons the art teacher had is 40÷8 = 5 boxes.
Use Repeated Reasoning Multiply or divide.
Question 7.
2 × 6 = ___
Answer:
2 × 6 = 12.
Explanation:
The multiplication of 2 × 6 is 12.
Question 8.
64 ÷ 8 = ___
Answer:
64 ÷ 8 = 8.
Explanation:
The division of 64 ÷ 8 is 8.
Question 9.
___ = 4 × 5
Answer:
4 × 5 = 20.
Explanation:
The multiplication of 4 × 5 is 20.
Question 10.
Answer:
8÷4 = 2.
Explanation:
The division of 8÷4 is 2.
Question 11.
___ = 2 × 5
Answer:
2 × 5 = 10.
Explanation:
The multiplication of 2 × 5 is 10.
Question 12.
Answer:
72÷8 = 9.
Explanation:
The division of 72÷8 is 9.
Question 13.
Answer:
16÷4 = 4.
Explanation:
The division of 16÷4 is 4.
Question 14.
Answer:
20÷2 = 10.
Explanation:
The division of 20÷2 is 10.
Question 15.
Answer:
56÷8 = 7.
Explanation:
The division of 56÷8 is 7.
Question 16.
Answer:
2×9 = 18.
Explanation:
The multiplication of 2×9 is 18.
Question 17.
Answer:
7×4 = 28.
Explanation:
The multiplication of 7×4 is 28.
Question 18.
Answer:
8×1 = 8.
Explanation:
The multiplication of 8×1 is 8.
Question 19.
Answer:
4×8 = 32.
Explanation:
The multiplication of 4×8 is 32.
Question 20.
There are 48 students in a library. If there are 6 students at each table, how many tables are there?
Answer:
There are 8 tables.
Explanation:
Given that there are 48 students in a library and if there are 6 students at each table. So the number of tables are there in total is 48÷6 which is 8 tables.
Question 21.
Six friends are paddling kayaks. Each kayak holds 2 people. How many kayaks are there?
Answer:
The number of kayaks is 12 kayaks.
Explanation:
Given that six friends are paddling kayaks and each kayak holds 2 people. So the number of kayaks are 6×2 which is 12 kayaks.
Question 22.
STEM Arachnids, such as spiders, are a class of animals based on their number of legs. Megan counts 56 legs on some arachnids. How many arachnids does Megan count?
Answer:
The number of arachnids does Megan count is 7 arachnids.
Explanation:
Given Arachnids, such as spiders, are a class of animals based on their number of legs. As Megan counts 56 legs on some arachnids, so the number of arachnids does Megan count is 56÷8 which is 7 arachnids.
Use Repeated Reasoning Multiply or divide.
Question 23.
___ = 2 × 2
Answer:
2 × 2 = 4.
Explanation:
The multiplication of 2 × 2 is 4.
Question 24.
48 ÷ 8 = ___
Answer:
48 ÷ 8 = 6.
Explanation:
The division of 48 ÷ 8 is 6.
Question 25.
4 × 10 = ___
Answer:
4 × 10 = 40.
Explanation:
The multiplication of 4 × 10 is 40.
Question 26.
8 ÷ 4 = ___
Answer:
8 ÷ 4 = 2.
Explanation:
The division of 8 ÷ 4 is 2.
Question 27.
___ = 2 × 10
Answer:
2 × 10 = 20.
Explanation:
The multiplication of 2 × 10 is 20.
Question 28.
Answer:
36 ÷ 4 = 9.
Explanation:
The division of 36 ÷ 4 is 9.
Question 29.
2 × 7 = ___
Answer:
2 × 7 = 14.
Explanation:
The multiplication of 2 × 7 is 14.
Question 30.
Answer:
8 ÷ 8 = 1.
Explanation:
The division of 8 ÷ 8 is 1.
Question 31.
8 × 10 = ___
Answer:
8 × 10 = 80.
Explanation:
The multiplication of 8 × 10 is 80.
Question 32.
Answer:
4 × 8 = 32.
Explanation:
The multiplication of 4 × 8 is 32.
Question 33.
Answer:
7 × 2 = 14.
Explanation:
The multiplication of 7 × 2 is 14.
Question 34.
Answer:
8 × 3 = 24.
Explanation:
The multiplication of 8 × 3 is 24.
Question 35.
Answer:
9 × 4 = 36.
Explanation:
The multiplication of 9 × 4 is 36.
Question 36.
Attend to Precision Mrs. Reynolds buys 6 packs of batteries. There are 8 batteries in each pack. How many batteries does Mrs. Reynolds buy? Explain how you know.
Answer:
The number of batteries Mrs. Reynolds bought is 48 batteries.
Explanation:
Given that Mrs. Reynolds bought 6 packs of batteries and there are 8 batteries in each pack. So the number of batteries Mrs. Reynolds bought is 6×8 which is 48 batteries.
Question 37.
Jay has a sheet of balsa wood that is 36 inches long. He cuts the sheet into 4 equal pieces. How long is each piece of balsa wood?
Answer:
The length of each piece of balsa wood is 9 pieces.
Explanation:
Given that Jay has a sheet of balsa wood that is 36 inches long and he cuts the sheet into 4 equal pieces. So the length of each piece of balsa wood is 36÷4 which is 9 pieces.
On Your Own
Question 38.
Use Structure Seth cuts 20 inches of ribbon into 4-inch pieces. Write an equation to show how many pieces of ribbon Seth cuts. Then write a related fact.
Answer:
The equation is 20÷4 = 5 pieces.
Explanation:
Given that Seth cuts 20 inches of ribbon into 4-inch pieces. So the equation to show how many pieces of ribbon Seth cuts are 20÷4 which is 5 pieces. The related facts are 20÷5 = 4, 4×5 = 20, 5×4 = 20.
Use Repeated Reasoning Multiply or divide.
Question 39.
2 × 7 = ___
Answer:
2 × 7 = 14.
Explanation:
The multiplication of 2 × 7 is 14.
Question 40.
80 ÷ 8 = __
Answer:
80 ÷ 8 = 10.
Explanation:
The division of 80 ÷ 8 is 10.
Question 41.
__ = 6 × 4
Answer:
6 × 4 = 24.
Explanation:
The multiplication of 6 × 4 is 24.
Question 42.
16 ÷ 8 = ___
Answer:
16 ÷ 8 = 2.
Explanation:
The division of 16 ÷ 8 is 2.
Question 43.
__ = 7 × 4
Answer:
7 × 4 = 28.
Explanation:
The multiplication of 7 × 4 is 28.
Question 44.
Answer:
32 ÷ 8 = 4.
Explanation:
The division of 32 ÷ 8 is 4.
Question 45.
Answer:
40 ÷ 8 = 5.
Explanation:
The division of 40 ÷ 8 is 5.
Question 46.
___ = 2 × 9
Answer:
2 × 9 = 18.
Explanation:
The multiplication of 2 × 9 is 18.
Question 47.
32 ÷ 4 = ___
Answer:
32 ÷ 4 = 8.
Explanation:
The division of 32 ÷ 4 is 8.
Question 48.
Answer:
12 ÷ 2 = 6.
Explanation:
The division of 12 ÷ 2 is 6.
Question 49.
Answer:
24 ÷ 8 = 3.
Explanation:
The division of 24 ÷ 8 is 3.
Question 50.
Answer:
28 ÷ 4 = 7.
Explanation:
The division of 28 ÷ 4 is 7.
Question 51.
Answer:
6 × 8 = 48.
Explanation:
The multiplication of 6 × 8 is 48.
Question 52.
Answer:
5 × 2 = 10.
Explanation:
The multiplication of 5 × 2 is 10.
Question 53.
Answer:
7 × 8 = 56.
Explanation:
The multiplication of 7 × 8 is 56.
Question 54.
Answer:
10 × 2 = 20.
Explanation:
The multiplication of 10 × 2 is 20.
Question 55.
A tandem bicycle holds 2 riders. A group of 20 riders rents tandem bicycles. How many tandem bicycles does the group need to rent?
Answer:
The number of tandem bicycles the group needs to rent is 10 tandem bicycles.
Explanation:
Given that a tandem bicycle holds 2 riders and a group of 20 riders rents tandem bicycles. So the number of tandem bicycles the group needs to rent is 20÷2 = 10 tandem bicycles.