All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 6 Lesson 9 Divide by 10 will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 6 Lesson 9 Divide by 10
Math in My World
Example 1
The third grade class needs 50 juice bars. How many boxes of juice bars will they need if there are 10 bars in each box?
Find 50 ÷ 10.
One Way Use a number line.
Start at 50 and count back by 10s.
Groups of 10 were counted back ____ times.
Another Way Use repeated subtraction.
Subtract groups of ____ until you reach ___.
Groups of ____ were subtracted ____ times.
Either way, 50 ÷ 10 = ____.
The third grade class will need ____ boxes of juice bars.
Answer:
Groups of 10 were counted back 5 times.
Subtract groups of 10 until you reach 0.
Groups of 10 were subtracted 5 times.
Either way, 50 ÷ 10 = 5.
The third grade class will need 5 boxes of juice bars.
Think of division as an unknown factor problem. Use a related multiplication fact.
Example 2
A quarterback threw the football for a total of 70 yards. Each time he threw the ball, the team gained 10 yards. How many throws did the quarterback make? Write a division sentence with a symbol for the unknown.
Find 70 ÷ 10 = 
.
You know that 10 × ___ = 70. The unknown factor is ____.
Since division and multiplication are inverse operations, 70 ÷ 10 = ____
The unknown is ____.
The quarterback made ___ throws.
Answer:
70 ÷ 10 = 7.
You know that 10 × 7 = 70. The unknown factor is 7.
Since division and multiplication are inverse operations, 70 ÷ 10 = 7.
The unknown is 7.
The quarterback made 7 throws.
Talk Math
When you divide by 10, what do you notice about the quotient and the dividend?
Answer:
Dividend = divisor x quotient + remainder
The number being divided is called the dividend.
Suppose 20 ÷ 10 = 2.
Here 10 is the divisor.
20 is the dividend
2 is the quotient.
Guided Practice
Use repeated subtraction to divide.
Question 1.
90 ÷ 10 = ____
Answer:
90 divided by 10 equal to 9.
90 ÷ 10 = 9.
Question 2.
40 ÷ 10 = ____
Answer:
40 divided by 10 equal to 4.
40 ÷ 10 = 4.
Question 3.
60 ÷ 10 = ____
Answer:
60 ÷ 10 = 6.
Independent Practice
Use repeated subtraction to divide.
Question 4.
20 ÷ 10 = ____
Answer:
20 divided by 10 = 2.
20 ÷ 10 = 2
Question 5.
10 ÷ 10 = ____
Answer:
10 divided by 10 = 1.
10 ÷ 10 = 1.
Question 6.
30 ÷ 10 = ____
Answer:
30 divided by 10 = 3.
30 ÷ 10 = 3.
Question 7.
80 ÷ 10 = ____
Answer:
80 divided 10 equal to 8.
80 ÷ 10 = 8.
Algebra Use a related multiplication fact to find each unknown.
Question 8.
50 ÷ 10 = 
10 × ___ = 50
The unknown is ____.
Answer:
50 ÷ 10 = 5.
50 divided by 10 equal to 5.
10 x 5 = 50.
Multiplication of 10 with 5 then you get 50.
The unknown is 5.
Question 9.
70 ÷ = 7
___ × 7 = 70
The unknown is ____.
Answer:
70 ÷ 10 = 7.
70 divided by 10 equal to 7.
10 x 7 = 70.
Multiplication of 10 with 7 then you get 70.
The unknown is 7.
Question 10.
90 ÷ 10 =
10 × ___ = 90
The unknown is ____.
Answer:
90 ÷ 10 = 9.
90 divided by 10 equal to 9.
10 x 9 = 90.
Multiplication of 10 with 9 then you get 90.
The unknown is 9.
Question 11.
60 ÷ = 6
___ × 6 = 60
The unknown is ____.
Answer:
60 ÷ 10 = 6.
60 divided by 10 equal to 6.
10 x 6 = 60.
Multiplication of 10 with 6 then you get 60.
The unknown is 6.
Question 12.
100 ÷ 10 =
10 × ___ = 100
The unknown is ____.
Answer:
100 ÷ 10 = 10.
100 divided by 10 equal to 10.
10 x 10 = 100.
Multiplication of 10 with 10 then you get 100.
The unknown is 10.
Question 13.
÷ 10 = 4
10 × 4 = ____
The unknown is ____.
Answer:
40 ÷ 10 = 4.
40 divided by 10 equal to 4.
10 x 4 = 40.
Multiplication of 10 with 4 then you get 40.
The unknown is 4.
Problem Solving
Algebra Write a division sentence with a symbol for the unknown, for Exercises 14-15. Then solve.
Question 14.
Ken wants to divide 40 flowers equally into 10 vases. How many flowers go in each vase?
Answer:
Given that,
Ken wants to divide 40 flowers equally into 10 vases.
So, 40 ÷ 10 = 4.
Therefore the number of flowers go in each vase is 4.
Question 15.
Rona saw 60 cars at a car show. If he saw 10 of each kind of car, how many different kinds of cars were there?
Answer:
Given that,
Rona saw 60 cars at a car show.
If he saw 10 of each kind of car.
So, 60 ÷ 10 = 6.
Therefore the different kinds of cars are 6.
Question 16.
Mathematical PRACTICE 5 Use Math Tools The table shows the amount of money each child has saved in $10-bills. What is the difference in the least amount of money saved and the greatest amount of money saved?
____________________
How many $10-bills is the difference equal to?
____________________
How many $10-bills have the children saved together?
____________________
Answer:
Given that,
least amount saved is $30.
The greater amount saved is $90.
The difference of least and greater amount is $90 – $30 = $60.
There are $10-bills is the difference equal to 6.
The total saving amounts is $70 + $30 + $80 + $90 = $270.
They have saved 27 $10-bills have the children saved together.
HOT Problems
Question 17.
Mathematical PRACTICE 2 Use Number Sense Use the numerals 0, 7, and 8 to write two 2-digit numbers that can each be divided by 10. The numerals can be used more than one time.
Answer:
Using of three numbers The two digit numbers are 70, 80.
70 ÷ 10 = 7
80 ÷ 10 = 8.
Question 18.
? Building on the Essential Question How can skip counting by 10s help you find the quotient of 10s facts?
Answer:
You can skip counting by 10s count by 5’s.
That is 5, 10, 15, 20, 25, 30.
The skipping numbers are 10, 20, 30.
McGraw Hill My Math Grade 3 Chapter 6 Lesson 9 My Homework Answer Key
Practice
Use repeated subtraction to divide.
Question 1.
70 ÷ 10 = ____
Answer:
70 ÷ 10 = 7.
70 divided by 10 = 7.
Question 2.
60 ÷ 10 = ____
Answer:
60 divided 10 equal to 6.
60 ÷ 10 = 6.
Algebra Use a related multiplication fact to find each unknown.
Question 3.
80 ÷ 10 = 
10 × ___ = 80
The unknown is ___.
Answer:
80 ÷ 10 = 8
10 x 8 = 80
The unknown is 8.
Question 4.
÷ 10 = 3
10 × 3 = _____
The unknown is ___.
Answer:
30 ÷ 10 = 3
10 x 3 = 30.
The unknown is 30.
Question 5.
÷ 10 = 10
10 × 10 = ____
The unknown is ___.
Answer:
100 ÷ 10 = 10.
10 x 10 = 100.
The unknown is 100.
Question 6.
20 ÷ 10 =
10 × ___ = 20
The unknown is ___.
Answer:
20 ÷ 10 = 2.
10 x 2 = 20.
The unknown is 2.
Problem Solving
Question 7.
Morgan has 90 cents in her pocket. All of the change is in dimes. How many dimes does Morgan have in all?
Answer:
Morgan has 90 cents in her pocket.
1 dime = 10 cents.
The number of dimes does the Morgan have is 90/10 = 9.
Therefore the number of dimes that the Morgan have is 9.
Question 8.
Ricky spent $90 at the supermarket. He bought $30 worth of fruit. He spent the rest of the money on steaks. If he bought 10 steaks and they each cost the same amount, what was the price of each steak?
Answer:
Given that,
Ricky spent $90 at the supermarket.
He bought $30 worth of fruit.
He spent the rest of the money on steaks. If he bought 10 steaks and they each cost is same.
After he bought fruit the remaining money is $90 – $30 = $60.
If he bought 10 steaks the cost is $60/10 = $6.
Therefore the cost of each steaks is $6.
Question 9.
Mathematical PRACTICE 1 Make Sense of Problems Annie bought a bag of 80 mini-carrots. She eats 5 carrots with lunch each day and eats another 5 each night as a snack. In how many days will the bag of carrots be gone?
Answer:
Given that,
Annie bought a bag of 80 mini-carrots.
She eats 5 carrots with lunch each day and eats another 5 each night as a snack.
The total number of carrots she eat in a day is 10.
So, 80/10 = 8.
Therefore the number of days will the bag of carrots be gone is 8.
Test Practice
Question 10.
Bill has a collection of 60 books he wants to donate to the library. Which number sentence shows how Bill can divide the books equally as he packs them in boxes?
A. 60 ÷ 6 = 10
B. 60 – 10 = 50
C. 60 + 60 + 60 = 180
D. 60 × 1 = 60
Answer:
Given that,
Bill has a collection of 60 books he wants to donate to the library.
Therefore the number sentence is 60 ÷ 6 = 10.
Option A is the correct answer.
Fluency Practice
Multiply.
Question 1.
2 × 9 = ____
Answer:
2 x 9 = 18.
Multiplication of 2 with 9 then you get 18.
Question 2.
5 × 3 = ____
Answer:
5 x 3 = 15.
Multiplication of 5 with 3 then you get 15.
Question 3.
2 × 4 = ____
Answer:
2 x 4 = 8.
Multiplication of 2 with 4 then you get 8.
Question 4.
10 × 6 = ____
Answer:
10 x 6 = 60.
Multiplication of 10 with 6 then you get 60.
Question 5.
2 × 3 = ____
Answer:
2 x 3 = 6.
Multiplication of 2 with 3 then you get 6.
Question 6.
2 × 5 = ____
Answer:
2 x 5 = 10.
Multiplication of 2 with 5 then you get 10.
Question 7.
2 × 2 = ____
Answer:
2 x 2 = 4.
Multiplication of 2 with 2 then you get 4.
Question 8.
5 × 1 = ____
Answer:
5 x 1 = 5
Multiplication of 5 with 1 then you get 5.
Question 9.
5 × 4 = ____
Answer:
5 x 4 = 20.
Multiplication of 5 with 4 then you get 20.
Question 10.
2 × 6 = ____
Answer:
2 x 6 = 12.
Multiplication of 2 with 6 then you get 12.
Question 11.
2 × 7 = ____
Answer:
2 x 7 = 14.
Multiplication of 2 with 7 then you get 14.
Question 12.
10 × 2 = ____
Answer:
10 x 2 = 20.
Multiplication of 10 with 2 then you get 20.
Question 13.
Answer:
Multiplication of 10 with 3 then you get 30.
Question 14.
Answer:
Multiplication of 5 with 6 then you get 30.
Question 15.
Answer:
Multiplication of 2 with 8 then you get 16.
Question 16.
Answer:
Multiplication of 10 with 4 then you get 40.
Question 17.
Answer:
Multiplication of 5 with 7 then you get 35.
Question 18.
Answer:
Multiplication of 5 with 5 then you get 25.
Question 19.
Answer:
Multiplication of 10 with 6 then you get 60.
Question 20.
Answer:
Multiplication of 5 with 8 then you get 40.
Question 21.
Answer:
Multiplication of 2 with 1 then you get 2.
Question 22.
Answer:
Multiplication of 5 with 2 then you get 10.
Question 23.
Answer:
Multiplication of 5 with 9 then you get 45.
Question 24.
Answer:
Multiplication of 10 with 5 then you get 50.
Fluency Practice
Divide.
Question 1.
10 ÷ 5 = ____
Answer:
10 divided by 5 = 2.
10 ÷ 5 = 2.
Question 2.
20 ÷ 5 = ____
Answer:
20 divided by 5 equal to 4.
20 ÷ 5 = 4.
Question 3.
30 ÷ 10 = ____
Answer:
30 divided by 10 equal to 3.
30 ÷ 10 = 3.
Question 4.
8 ÷ 2 = ____
Answer:
8 divided by 2 equal to 4.
8 ÷ 2 = 4.
Question 5.
16 ÷ 2 = ____
Answer:
16 divided by 2 equal to 8.
16 ÷ 2 = 8.
Question 6.
50 ÷ 10 = ____
Answer:
50 divided by 10 equal to 5.
50 ÷ 10 = 5.
Question 7.
35 ÷ 5 = ____
Answer:
35 divided by 5 = 7.
35 ÷ 5 = 7.
Question 8.
25 ÷ 5 = ____
Answer:
25 divided by 5 equal to 5.
25 ÷ 5 = 5.
Question 9.
45 ÷ 5 = ____
Answer:
45 divided by 5 equal to 9.
45 ÷ 5 = 9.
Question 10.
60 ÷ 10 = ____
Answer:
60 divided by 10 equal to 6.
60 ÷ 10 = 6.
Question 11.
40 ÷ 5 = ____
Answer:
40 divided by 5 equal to 8.
40 ÷ 5 = 8.
Question 12.
10 ÷ 2 = ____
Answer:
10 divided by 2 equal to 5.
10 ÷ 2 = 5.
Question 13.
Answer:
12 divided by 2 equal to 6.
Question 14.
Answer:
30 divided by 5 equal to 6.
Question 15.
Answer:
20 divided by 10 equal to 2.
Question 16.
Answer:
15 divided by 5 equal to 3.
Question 17.
Answer:
70 divided by 10 equal to 7.
Question 18.
Answer:
14 divided by 2 equal to 7.
Question 19.
Answer:
18 divided by 2 equal to 9.
Question 20.
Answer:
5 divided by 5 equal to 1.
Question 21.
Answer:
40 divided by 10 equal to 4.
Question 22.
Answer:
20 divided by 2 equal to 10.
Question 23.
Answer:
6 divided by 2 equal to 3.
Question 24.
Answer:
4 divided by 2 equal to 2.
