All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 3 Lesson 1 Relate Multiplication and Division will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 3 Lesson 1 Relate Multiplication and Division
Math in My World
Example 1
Felisa and Mei-Ling went to an arcade. They played 4 games that cost S3 each. What was the total cost?
Write related multiplication and division sentences to solve
1. Arrange counters in an array with 3 rows and 4 columns. Draw the counters in the chart.
There are ___ counters total.
2. Write a multiplication sentence.
3. Write’ a related division sentence.
So, the total cost was $ ____.
Answer:
Given that,
The number of games are 4.
The cost of each game is $3.
The array of 3 x 4 is shown on example.
The multiplication sentence is.
The division sentence is
So, the total cost was $ 12.
Example 2
Latanya and her father made an array of buttons. Write a fact family for the array.
There are 3 rows, 4 columns, and a total of 12 buttons.
Answer:
Given that,
The number of rows are 3.
The number of columns are 4.
The total = 12 buttons
The array is 3 x 4
The facts family for an array is multiplication.
Example 3
Vanessa has 36 books to put on 4 shelves. The same number of books will be placed on each shelf. How many books will be on each shelf?
Find ___ ÷ ____. You can use a related multiplication fact to help you divide.
36 ÷ 4 = 
← Find the unknown
THlNK:4 × = 36
4 × 
= 36
So, 36 ÷ 4 =
Vanessa will place books on each shelf.
Answer:
Given that,
Vanessa has 36 books to put on 4 shelves.
The number of books on each shelf is
Divide 36 with 4.
36 ÷ 4 = 9.
4 x 9 = 36.
Therefore Vanessa will place 9 books on each shelf.
The unknown is 9.
Talk Math
How are multiplication and division related?
Answer:
The multiplication and division is closely related. The division is the inverse operation of multiplication.
Guided Practice
Write the fact family for each array.
Question 1.
Answer:
Given that,
The number of rows are 3.
The number of columns are 7.
The array is 3 x 7.
Multiplication of 3 with 7 then you get 21.
3 x 7 = 21.
The facts family related to an array is Multiplication
Question 2.
Answer:
Given that,
The number of rows are 5.
The number of columns are 5.
The array is 5 x 5.
Multiplication of 5 with 5 then you get 25.
5 x 5 = 25.
The facts family related to an array is amultiplication.
Independent Practice
Write the fact family for each array or set of numbers.
Question 3.
Answer:
Given that,
The number of rows are 2.
The number of columns are 3.
The array is 2 x 3.
Multiplication of 2 with 3 then you get 6.
2 x 3 = 6.
The facts family related to an array is Multiplication.
Question 4.
Answer:
Given that,
The number of rows are 3.
The number of columns are 5.
The array is 3 x 5.
Multiplication of 3 with 5 then you get 15.
3 x 5 = 15.
The facts family related to an array is Multiplication.
Question 5.
6, 9, 54
Answer:
Given that,
The number are 6, 9, 54.
Consider the rows as 6.
Consider the columns as 9.
The array is 6 x 9.
Multiplication of 6 with 9 then you get 54.
6 x 9 = 54.
The facts family related to an array is Multiplication.
Question 6.
7, 8, 56
Answer:
Given that,
The number are 7, 8, 56.
Consider the rows as 7.
Consider the columns as 8.
The array is 7 x 8.
Multiplication of 7 with 8 then you get 56.
7 x 8 = 56.
The facts family related to an array is Multiplication.
Question 7.
9, 11, 99
Answer:
Given that,
The number are 9, 11, 99.
Consider the rows as 9.
Consider the columns as 11.
The array is 9 x 11
Multiplication of 9 with 11 then you get 99.
9 x 11 = 99.
The facts family related to an array is Multiplication.
Question 8.
11, 12, 132
Answer:
Given that,
The number are 11, 12, 132.
Consider the rows as 11.
Consider the columns as 12.
The array is 11 x 12.
Multiplication of 11 with 12 then you get 132.
11 x 12 = 132.
The facts family related to an array is Multiplication.
Find each unknown to complete each fact family.
Question 9.
4 × 8 = ____
____ × 4 = 32
32 ÷ ___ = 8
32 ÷ 8 = ____
Answer:
Multiplication of 4 with 8 then you get 32.
4 x 8 = 32.
Multiplication of 8 with 4 equal to 32.
8 x 4 = 32.
32 divided by 4 equal to 8.
32 ÷ 4 = 8.
32 divided by 8 equal to 4.
32 ÷ 8 = 4
Question 10.
___ × 9 = ____
9 × 8 = ____
72 ÷ ___ = 8
72 ÷ 8 = ____
Answer:
Multiplication of 8 with 9 then you get 72.
8 x 9 = 72.
Multiplication of 9 with 8 equal to 72.
9 x 8 = 72.
72 divided by 9 equal to 8.
72 ÷ 9 = 8.
72 divided by 8 equal to 9.
72 ÷ 8 = 9.
Problem Solving
Question 11.
Mathematical Practice 4 Model Math Five banjo players entered the banjo contest. They are each playing four-string banjos. How many strings do the banjos have in all?
5 × 4 = ____
Answer:
Given that,
Five banjo players entered the banjo contest.
They are each playing four-string banjos
So, 5 x 4 = 20.
Therefore there are 20 strings to do the banjos have in all.
Question 12.
Ed wants to share 18 grapes equally among himself and two friends. How many grapes will each person receive?
18 ÷ 3 = ____
Answer:
Given that,
Ed wants to share 18 grapes equally among himself and two friends.
The number of graphs that each person receive is 18 ÷ 3 = 6.
Therefore there are 6 graphs to each person.
Question 13.
A Seminole basket-maker made a small basket He used 9 blades of sweet grass and braided them for each coil. He made 9 coils. How many blades of sweet grass did he use to make the basket?
9 × 9 = ____
Answer:
Given that,
He used 9 blades of sweet grass and braided them for each coil.
He made 9 coils.
So, 9 × 9 = 81.
Therefore there are 81 blades of sweet grass to make the basket.
HOT Problems
Question 14.
Mathematical PRACTICE 2 Use Number Sense Draw an array. Write a fact family for your array.
Answer:
The array is 2 x 3.
2 x 3 = 6.
The facts family for an array is 6.
Question 15.
? Building on the Essential Question How can fact families and multiplication facts help you divide? Explain.
Answer:
The division is the inverse of multiplication. So, The fact families and multiplication facts will help to divide.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 1 My Homework Answer Key
Practice
Write a fad family for each set of numbers.
Question 1.
3, 6, 18
Answer:
Given that,
The number are 3, 6, 18.
Consider the rows as 3.
Consider the columns as 6.
The array is 3 x 6.
Multiplication of 3 with 6 then you get 18.
3 x 6 = 18.
The facts family related to an array is Multiplication.
Question 2.
2, 5, 10
Answer:
Given that,
The number are 2, 5, 10.
Consider the rows as 2.
Consider the columns as 5.
The array is 2 x 5.
Multiplication of 2 with 5 then you get 10.
2 x 5 = 10.
The facts family related to an array is Multiplication.
Problem Solving
Question 3.
Monique volunteered 24 hours last month at the animal shelter. If she volunteered the same amount of hours each week for 4 weeks, how many hours did she volunteer each week?
Answer:
Given that,
Monique volunteered 24 hours last month at the animal shelter.
If she volunteered the same amount of hours each week for 4 weeks.
The number of hours is 24 x 4 = 96 hours.
Therefore Monique volunteered 96 hours in 4 weeks.
Question 4.
Mathematical PRACTICE 4 Model Math Tyler took 36 pictures while he was on vacation. He wants to put them into a photo album. He will put 6 pictures on each page. How many pages will he use?
Answer:
Given that,
Tyler took 36 pictures while he was on vacation.
He will put 6 pictures on each page.
The number of pages will use is 36 ÷ 6 = 6.
Therefore the number of pages will use is 6.
Question 5.
Lani’s mother gave her and her two sisters $21 to spend at the movies. If each girl gets the same amount, how much do they each have to spend?
Answer:
Given that,
Lani’s mother gave her and her two sisters $21 to spend at the movies.
so, each girl get the amount is $21 ÷ 3 = $7.
Therefore each have to spend on movie is $7.
Vocabulary Check
Question 6.
Use the vocabulary terms listed below to label each part of the equations.
Answer:
Match each term with its definition.
Answer:
Test Practice
Question 10.
Which is a related multiplication fact for 18 ÷ 
= 6?
A. 18 ÷ 2 = 9
B. 6 × 3 = 18
C. 18 – 12 = 6
D. 6 × 4 = 24
Answer:
From the given data,
Subtract 12 from 18 then you get 6.
18 – 12 = 6.
Option C is the correct answer.