We included HMH Into Math Grade 4 Answer Key PDF Module 4 Lesson 3 Estimate Products by 1-Digit Numbers to make students experts in learning maths.
HMH Into Math Grade 4 Module 4 Lesson 3 Answer Key Estimate Products by 1-Digit Numbers
I Can estimate products of 1-digit numbers and determine whether the exact product is reasonable.
Spark Your Learning
Emma works for a traveling carnival. She needs to order 84 stuffed prizes for each of the 6 game booths. Emma estimates that she needs to order about 480 prizes. Is her estimate reasonable?
Show your thinking.
Turn and Talk How did you change the numbers in the problem to estimate? Why?
Explanation:
To find the estimation changed the number to nearest zero.
Build Understanding
1. The roller coaster at the carnival runs for 6 hours every day. It can take 320 people for a ride each hour. About how many people can go on the roller coaster each day?
Use a visual model to show how you can estimate the product 6 × 320.
Explanation:
A. How did you change the numbers to estimate?
_____________________________
Explanation:
The number is rounded to nearest hundred
B. What two estimates do you get for 6 × 320 when you round 320 to the two nearest hundreds?
___ × ___ = ____
___ × ___ = ____
Explanation:
400 x 6 = 2400
300 x 6 = 1800
C. Which estimate is more reasonable? Why?
__________________________
__________________________
About ____ people can go on the roller coaster each day.
Explanation:
300 x 6 is most reasonable
Because the exact answer is very near to the expected answer.
Turn and Talk How is finding an estimate different from finding an exact answer?
Explanation:
Exact finding some times makes the calculation takes the longer time than finding the estimated one.
The answer varies a little bit.
Step It Out
2. The first Ferris wheel could carry 2,160 passengers per rotation. Suppose 4 groups rode the Ferris wheel with every seat filled each time. Emma says that 8,640 people rode the Ferris wheel. Is Emma’s statement reasonable? Estimate 4 × 2,160.
A. Identify the two thousands that 2,160 is between. Circle them on the number line.
B. Use those two thousands to estimate two products that the exact product is between.
The product 4 × 2,160 is between ___ and ___.
Emma’s estimate of 8,640 is ____.
Explanation:
The product 4 × 2,160 is between 8000 and 12000.
Emma’s estimate of 8,640 is correct.
Turn and Talk How do your estimates show whether or not Emma’s exact answer is reasonable?
Explanation:
Estimated answer is in between
8000 to 12000
4 x 2160 = 8640
so, what Emma estimated is correct
Check Understanding Math Board
Question 1.
Tickets to the carnival cost $7. The cashier sells 225 tickets in one hour. She says that the ticket sales in that hour were $950. is this reasonable? Use estimation to justify your answer.
Answer:
No her estimation is not true
Explanation:
225 is rounded to 200
7 x 2 = 14
so her estimation should be more than 1400
Question 2.
Use rounding to estimate 4 × 3,122. ____
Answer:
4 x 3000 = 12000
Explanation:
3122 is rounded to 3000
4 x 3 = 12
Then added the remaining zero’s
12000
On Your Own
Construct Arguments Determine if the answer is reasonable. Explain.
Question 3.
Greta has 3 rolls of ride tickets for the carnival. Each roll has 64 tickets. She says that she has 192 tickets.
Answer:
Yes, it is reasonable
Explanation:
3 x 64 = 192
64 is rounded to 60
3 x 6 = 18
3 x 5 = 15
so her estimation is in between 150 and 180
Question 4.
Mr. Thomas sells these sun visors at the carnival. He sells 415 sun visors in one month. Mr. Thomas says that his monthly sales were $3,320.
Answer:
Yes, it is reasonable
Explanation:
415 is rounded to 400
8 x 4 = 24
8 x 5 = 48
Her estimation is in between 2400 and 4800
Use rounding to estimate the product.
Question 5.
6 × 479
___________
Answer:
6 × 479 = 3000
Explanation:
479 is rounded to 500
6 x 5 = 30
6 x 500 = 3000
Question 6.
3 × 92
___________
Answer:
3 × 92 = 300
Explanation:
92 is rounded to 100
3 x 1 = 3
3 x 100 = 300
Question 7.
8 × 1,659
___________
Answer:
8 × 1,659 = 16000
Explanation:
1659 is rounded to 2000
8 x 2 = 16
8 x 2000 = 16000
Find two estimates that the product is between.
Question 8.
9 × 3,217
The product is between __ and ____.
Answer:
9 × 3,217 = 28953
The product is between 27000 and 36000.
Explanation:
9 x 3 = 27
9 x 4 = 36
9 x 3000 = 27000
9 x 4000 is 36000
Question 9.
7 × 624
The product is between ___ and ___.
Answer:
7 × 624 = 4368
The product is between 4200 and 4900.
Explanation:
7 x 6 = 42
7 x 7 = 49
7 x 600 = 4200
7 x 700 = 4900
I’m in a Learning Mindset!
What questions can I ask my teacher or classmates to help me understand how to estimate products?
_____________________________
_____________________________
Explanation:
How can I round up to nearest number
To estimate exactly
the number is rounded to nearest tens or hundreds