We included HMH Into Math Grade 4 Answer Key PDF Module 4 Lesson 1 Explore Multiplication Patterns with Tens, Hundreds, and Thousands to make students experts in learning maths.
HMH Into Math Grade 4 Module 4 Lesson 1 Answer Key Explore Multiplication Patterns with Tens, Hundreds, and Thousands
I Can use basic facts, patterns, and place vaiue to multiply a multiple of 10, 100, or 1,000 by a 1-digit number,
Spark Your Learning
Tickets to the play just went on sale. Charles wants to buy 5 tickets. How much does he spend?
Show your thinking.
Turn and Talk What basic multiplication facts can help you solve the problem? Why do they help?
Explanation:
When the number is multiplied by itself the answer remains as the same number.
Build Understanding
Question 1.
There are 8 bags of pencil-top erasers for the school store. How many erasers are there if each bag has 70 erasers? 700 erasers?
Answer:
8 x 70 = 70
8 x 70 = 560
8 x 700 = 5600
Explanation:
If there are 70 erasers in each bag then the erasers will be 560
If there are 700 erasers in each bag then the erasers will be 5600.
Start with a simpler number. Represent how many erasers there are if each bag contains 7 erasers. Write a multiplication equation for the basic fact you show.
Explanation:
A. How are 7, 70, and 700 related?
________________
Explanation:
They are multiples of 1,10 and 100 with 7
B. How can you use the renamed numbers and basic facts to find each product?
8 × 7 = ____
8 × 70 = 8 × ___ tens = ___ tens = ___
8 × 700 = 8 × ___ hundreds = ___ hundreds = ___
There will be ___ erasers if each bag has 70 erasers and ___ erasers if each bag has 700 erasers.
Explanation:
8 × 7 = 56
8 × 70 = 8 × 7 tens = 56 tens = 560
8 × 700 = 8 × 7 hundreds = 56 hundreds = 5600
There will be 560 erasers if each bag has 70 erasers and 5600 erasers if each bag has 700 erasers.
Turn and Talk How can you use place value and basic facts to find how many erasers there are if each bag has 7,000 erasers?
Question 2.
In a game at the school fair, each player tries to throw 3 balls into these baskets. Each basket scores different points. What will be a player’s total score if all 3 balls land in the same basket?
A. Complete the equations to model all the possible total scores.
3 × 1 = ___ points ← basic fact
3 × 10 = ___ points
3 × 100 = ___ points
3 × 1,000 = ___ points
Explanation:
3 × 1 = 3 points ← basic fact
3 × 10 = 30 points
3 × 100 = 300 points
3 × 1,000 = 3000 points
B. What is the same about all the equations?
_______________________
Explanation:
multiplied with the number 3
C. What patterns do you see in the equations?
_______________________
Explanation:
3 is multiplied with 1 , 10 , 100, 1000
Turn and Talk Which equation shows 3 × 10 tens = 30 tens? How do you know?
3 x 10 tens =
3 x 100 = 300
that is 30 tens
so what he written was correct
Check Understanding Math Board
Question 1.
One game gives 1,000 points for a win. How many points are earned after 4 wins?
4 × 1 = 4
4 × 10 = 40
4 × 100 = ________
4 × 1,000 = _______ .
____ points are earned.
Answer:
4 × 1 = 4
4 × 10 = 40
4 × 100 = 400
4 × 1,000 = 4000.
4000 points are earned.
Explanation:
Pattern multiplication
Question 2.
Each box has 8 prizes. How many prizes are in 5,000 boxes?
5 × 8 = 40
50 × 8 = 400
500 × 8 = ___
5,000 × 8 = _______
There are ___ prizes.
Answer:
5 × 8 = 40
50 × 8 = 400
500 × 8 = 4000
5,000 × 8 = 40000
There are 40000 prizes.
Explanation:
Pattern multiplication
On Your Own
Question 3.
Use Structure The fourth grade class is selling pencils for a school fundraiser. The pencils come in boxes of 4,000 pencils. If 5 boxes of pencils are sold, how many pencils did the fourth grade class sell?
5 × 4 ones = ___ ones 5 × 4 = ____
5 × 4 tens = ___ tens 5 × 40 = _____
5 × 4 hundreds = ___ hundreds 5 × 400 = ____
5 × 4 thousands = ___ thousands 5 × 4,000 = ____
The fourth grade class sells ____ pencils.
Answer:
5 × 4 ones = 20 ones 5 × 4 = 20
5 × 4 tens = 20 tens 5 × 40 = 200
5 × 4 hundreds = 20 hundreds 5 × 400 = 2000
5 × 4 thousands = 2000 thousands 5 × 4,000 = 20000
The fourth grade class sells 20000 pencils.
Explanation:
Pattern multiplication
Question 4.
Jeremy writes some notes about patterns when multiplying with tens, hundreds, and thousands.
Fill in the blanks to complete his notes.
Answer:
Explanation:
Pattern multiplication
Question 5.
The school uses the money they raised to buy 3 new basketball hoops. Each hoop costs $600. What is the cost for the 3 hoops?
________________
Answer:
3 x 6 = 18
3 x 6 = 1800
Explanation:
The school uses the money they raised to buy 3 new basketball hoops.
Each hoop costs $600.
1800 is the cost for the 3 hoops
Question 6.
Use place value and patterns to find the products.
4 × 300 = ____ 9 × 8,000 = ____
Answer:
4 × 300 = 1200 9 × 8,000 = 72000
Explanation:
I’m in a Learning Mindset!
What do I already know that can help me multiply with tens, hundreds, and thousands on my own?
_________________________________
_________________________________
Explanation:
The answer remains same as the question and multiply the zero’s