We included HMH Into Math Grade 5 Answer Key PDF Module 1 Lesson 4 Multiply by 1-Digit Numbers to make students experts in learning maths.
HMH Into Math Grade 5 Module 1 Lesson 4 Answer Key Multiply by 1-Digit Numbers
I Can multiply multi-digit whole numbers by 1-digit numbers using regrouping and place value.
Step It Out
1. Adah walks 1,274 steps once around her neighborhood. If she walks around her neighborhood 3 times, how many steps does she walk?
A. Estimate the number of steps Adah walks. Show your work.
B. Multiply to find the number of steps she walks.
_________________________
_________________________
- Multiply the ones.
Regroup __ ones as ___.
- Multiply the tens. Add the regrouped tens.
__ tens + ___ ten = ___ tens - Multiply the hundreds. Add the regrouped hundreds.
___ hundreds + ___ hundreds = ___ hundreds - Multiply the thousands.
Adah walks ___ steps.
C. How do, you know if your answer is reasonable?
_________________________
_________________________
Answer:
Given,
Adah walks 1,274 steps once around her neighborhood.
1274 × 3 = 3822 steps
2 ones
2 tens
6 hundreds + 2 hundreds = 8 hundreds
3 thousand
300 + 600 + 200 + 20 + 2 = 3822 steps
Adah walks 3822 steps.
Turn and Talk In multiplying 1,274 by 5, what does recording 3 above the digit 2 represent?
Step It Out
2. Michael walks to and from school each day. The round-trip distance is 4,206 feet. What is the total distance he walks to and from school in 5 days?
A. Estimate the total distance. Show your work.
B. Jason’s solution is shown. Work through the steps to solve the problem, and then determine his error.
- Multiply the ones.
- Multiply the tens.
- Complete the problem.
- What is the total distance? _______
C. Compare your work with Jason’s. What error did Jason make?
Answer:
Given,
Michael walks to and from school each day.
The round-trip distance is 4,206 feet.
So, the total distance he walks to and from school in 5 days is 21,030 feet.
Check Understanding Math Board
Estimate. Then find the product.
Question 1.
Estimate: ___
Answer: 3472
By multiplying 868 with 4 we get 3472.
The estimated product is 3500.
Question 2.
Estimate: ___
Answer: 38440
By multiplying 4805 with 8 we get 38440.
The estimated product is 38000.
Question 3.
Estimate: ___
Answer: 65604
By multiplying 9372 with 7 we get 65604.
The estimated product is 66000.
Question 4.
A kilometer is approximately 1,094 yards. Toby runs a 6-kilometer race. About how many yards does he run?
Answer:
Given,
A kilometer is approximately 1,094 yards.
Toby runs a 6-kilometer race.
1094
× 6
6564
Thus he runs about 6500 yards.
On Your Own
Estimate. Then find the product.
Question 5.
Estimate: _______
Answer: 2745
By multiplying 915 with 3 we get 2745.
The estimated product is 2700.
Question 6.
Estimate: ____
Answer: 12168
1352
× 9
12168
By multiplying 1352 with 9 we get 12168.
The estimated product is 12000.
Question 7.
Estimate: ___
Answer: 17224
By multiplying 4306 with 4 we get 17224.
The estimated product is 17000.
Question 8.
Estimate: ___
Answer: 35231
By multiplying 5033 with 7 we get 35231.
The estimated product is 35000.
Question 9.
Estimate: ___
Answer: 41630
By multiplying 8926 with 5 we get 41630.
The estimated product is 42000.
Question 10.
Estimate: ___
Answer:
By multiplying 27158 with 6 we get 162948.
The estimated product is 163000.
Find the unknown digits.
Question 11.
Answer: 3066
438
× 7
3066
So, the unknown digit is 0.
Question 12.
Answer: 14817
By multiplying 4939 with 3 we get 14,817 as the answer.
4939
× 3
14817
Just keep changing the units place to find a suitable answer.
Question 13.
Answer:
5534
× 9
49806
So, the missing numbers are 5, 9 , 0, 6
We have to change the numbers in the missing place and check whether it is suitable for the product.
Question 14.
In Michael’s neighborhood, there is a rectangular pathway that is 152 feet long and 9 feet wide. What is the area of the pathway?
Answer:
Given,
In Michael’s neighborhood, there is a rectangular pathway that is 152 feet long and 9 feet wide.
152 × 9 = 1368 sq. ft
Thus the area of the pathway is 1368 sq. ft.
Question 15.
A farmer has a corn field with 9 rows of corn. Each row has 1,026 corn plants. How many corn plants are there?
Answer:
Given,
A farmer has a corn field with 9 rows of corn.
Each row has 1,026 corn plants.
1026
× 9
9234
Therefore there are 9234 corn plants in 9 rows.
Question 16.
Martha runs 1,760 yards each day for 3 days. How many yards does she run?
Answer:
Given
Martha runs 1,760 yards each day for 3 days
1760
× 3
5280 yards
Thus she runs 5280 yards in 3 days.
On Your Own
Question 17.
Health and Fitness Darlene walks around her neighborhood. Her daily goal is to walk 4,000 steps.
- Does Darlene reach her daily goal if she walks around her neighborhood 5 times? Make an estimate to answer the question and show your work.
_________________________
_________________________ - How many steps does Darlene take if she walks around her neighborhood 5 times? Show your work.
Answer:
Given,
Darlene walks around her neighborhood. Her daily goal is to walk 4,000 steps.
852
× 5
4260
She will reach her goal if she walks her neighborhood 5 times.
Darlene takes 4260 steps if she walks around her neighborhood 5 times.
Question 18.
Reason Marisha solves a multiplication problem but leaves out some of her work. What are the unknown values of a and b? Explain how you know by describing place values and regrouping.
Answer:
a = 6
b = 1
Question 19.
Critique Reasoning Francisco solves a multiplication problem but makes an error
- What error does he make and what is the correct answer?
Answer:
The answer given by Francisco is incorrect.
4,315
× 8
34,520