We included HMH Into Math Grade 4 Answer Key PDF Module 4 Lesson 2 Explore Division Patterns with Tens, Hundreds, and Thousands to make students experts in learning maths.
HMH Into Math Grade 4 Module 4 Lesson 2 Answer Key Explore Division Patterns with Tens, Hundreds, and Thousands
I Can use basic facts, patterns, and place value to divide a multiple of 10, 100, or 1,000 by a 1-digit number.
Spark Your Learning
The Golden Gate Bridge is a famous landmark in California. A toy store has a model on display of the bridge made out of blocks. The model is made using 9,000 blocks. Before it is put together, the blocks are stored in 3 bins. Each bin has the same number of blocks.
How many blocks are in each bin?
Show your thinking.
Turn and Talk What basic facts can help you solve the problem? Why do they help?
Explanation:
3 x 3 = 9
is the basic fact that helped me to solve the problem
Build Understanding
1. The toy store sells toy cars in packs of 320. A group of 8 friends wants to share one pack. How many toy cars will each friend get?
Start with a simpler number. Represent how many cars each friend would get from a pack of 32 cars. Write a division equation for the basic fact you show.
A. How are 32 and 320 related?
______________________
Explanation:
32 x 10 = 320
multiplied with 10
B. How can you use the simpler numbers along with place value and basic facts to find the answer?
______________________
Explanation:
8 x 4 = 32 is the basic fact that made to find easier
Turn and Talk How could you use base-ten blocks to show 320 ÷ 8?
Explanation:
Step It Out
2. The toy store sells sticker sets for $9. How many sets does the store have to sell to make $270? $2,700?
A. Use place value to rename the numbers.
270 = ___ tens
2,700 = ___ hundreds
Explanation:
270 = 27 tens
2,700 = 27 hundreds
B. Use a basic fact and the renamed numbers to find each quotient.
27 ÷ 9 = ____ ← basic fact
270 ÷ 9 = ___ tens ÷ 9 = ___ tens = ___
2,700 ÷ 9 = ___ hundreds ÷ 9 = ___ hundreds = ___
The store needs to sell ___ sets to make $270 and ___ sets to make $2,700.
Explanation:
27 ÷ 9 = 3← basic fact
270 ÷ 9 = 3 tens ÷ 9 = 3 tens = 30
2,700 ÷ 9 = 3 hundreds ÷ 9 = 3 hundreds = 300
The store needs to sell 30 sets to make $270 and 300 sets to make $2,700.
Turn and Talk What patterns do you see in the three division equations?
Check Understanding Math Board
Question 1.
Two friends split a $2,000 prize. How much money do they each get?
2 ÷ 2 = 1
20 ÷ 2 = 10
200 ÷ 2 = _______
2,000 ÷ 2 = _______
They each get ____
Answer:
2 ÷ 2 = 1
20 ÷ 2 = 10
200 ÷ 2 = 100
2,000 ÷ 2 = 1000
They each get $1000
Explanation:
The basic fact is 2 ÷ 2 = 1
Question 2.
An has 2,000 marbles. He puts the same number of marbles in each of 5 bags. How many marbles are in each bag?
20 ÷ 5 = 4
200 ÷ 5 = 40
2,000 ÷ 5 = ______
_____ marbles are in each bag.
Answer:
20 ÷ 5 = 4
200 ÷ 5 = 40
2,000 ÷ 5 = 400
400 marbles are in each bag.
Explanation:
20 ÷ 5 = 4
Is the basic fact that helped to solve the problem
On Your Own
Question 3.
Use Structure A printer needs to send 3,000 books to 6 libraries. Each library must get the same number of books. How many books should the printer send to each library? Complete the pattern to solve.
30 ÷ 6 = 5
300 ÷ 6 = 50
3,000 ÷ 6 = ___
The printer should send ____ books to each library.
Answer:
30 ÷ 6 = 5
300 ÷ 6 = 50
3,000 ÷ 6 = 500
The printer should send 500 books to each library
Explanation:
30 ÷ 6 = 5
Is the basic fact that helped to solve the problem
Question 4.
A dairy farm produces 8,000 gallons of milk each week. The milk is stored in these tanks. Each tank holds the same amount of milk. How many gallons does 1 tank hold? ____
Answer:
8000 ÷ 4 = 2000
Explanation:
A dairy farm produces 8,000 gallons of milk each week.
The milk is stored in these tanks.
Each tank holds the same amount of milk.
8000 among 4
2000 gallons in each tank
4 x 2 = 8
Is the basic fact that helped to solve the problem
Question 5.
Use place value and patterns to find the quotients.
630 ÷ 7 = ___
4,500 ÷ 9 = ____
Answer:
630 ÷ 7 = 90
4,500 ÷ 9 = 500
Explanation:
7 x 9 = 63
9 x 5 = 45
Is the basic fact that helped to solve the problem
Question 6.
Open Ended Write and solve a word problem that can be modeled and solved with the equation 2,800 ÷ 4 = ___.
Answer:
There are 2800 books in the market they have to shared among the 4 book stores equally
Each book store get how many books
Explanation:
2800 ÷ 4 = 700
4 x 7 = 28
is the basic fact that helped to solve the problem
I’m in a Learning Mindset!
Is there anything still unclear to me about dividing tens, hundreds, and thousands? Explain.
Explanation:
Compatible numbers are pairs of numbers that are easy to add, subtract, multiply, or divide mentally. When using estimation to approximate a calculation, replace actual numbers with compatible numbers. The numbers 500 and 300 are compatible for addition, since the sum of 800 can be easily calculated mentally.