We included HMH Into Math Grade 5 Answer Key PDF Module 1 Lesson 5 Multiply by Multi-Digit Numbers to make students experts in learning maths.
HMH Into Math Grade 5 Module 1 Lesson 5 Answer Key Multiply by Multi-Digit Numbers
I Can multiply multi-digit whole numbers
Step It Out
1. The cost for a summer camp is $1,125 for each camper. If 65 campers sign up, what is the total amount the camp collects?
A. Estimate 65 × 1,125. Show your work.
B. Multiply by the ones. Then record.
5 ones × 1,125 = ___ ones
C. Multiply by the tens. Think about how you regroup. Then record.
6 tens × 1,125 = ___ tens
or __ ones
D. Add the partial products.
E. What is the total amount the camp collects? ___
F. Is the answer reasonable? Explain.
_______________________
_______________________
Answer:
Therefore, total amount of camp collects is $73,125.
Turn and Talk Will there always be a 0 in the ones column of the second partial product when multiplying by a two-digit number? Explain.
Step It Out
2. An online store sells camping chairs for $29. If the store sells 26,578 chairs in one year. how much does the store earn in sales?
A. Estimate 26,578 × 29. Show your work.
B. Multiply by the ones and record.
9 ones × 26,578 = ______ ones
C. Multiply by the tens and record. Think about how you regroup.
2 tens × 26,578 = _____ tens
or ___ ones
D. Add the partial products and record.
E. How much does the store earn? ____
Answer:
Therefore, the store earns $7,70,762 in sales.
Turn and Talk How would the partial products change if you were to multiply by a 3-digit number instead of a 2-digit number?
Check Understanding Math Board
Question 1.
The camp director says that there should be 28 bottles of water for each camper. If the camp expects to have 564 campers during the summer, how many bottles of water should the camp have?
Answer:
Given,
The camp director says that there should be 28 bottles of water for each camper.
If the camp expects to have 564 campers during the summer.
So, 564 x 28 =
Therefore, camp have 15,792 bottles of water.
Estimate. Then find the product.
Question 2.
813 × 76
_______________________
Answer:
813 is near 800
76 is near 80
So, 813 x 76 = 800 x 80 = 64,000
Question 3.
4,359 × 45
_______________________
Answer:
4,359 is near 4000
45 is near 50
So, 4,359 x 45 = 4000 x 50 = 2,00,000.
Question 4.
31,289 × 52
_______________________
Answer:
31289 is near 30,000
52 is near 50
So, 31,289 × 52 = 30,000 x 50 = 15,00,000
On Your Own
Estimate. Then find the product.
Question 5.
Estimate: ___
Answer:
379 is near 400
28 is near 30
So, 379 x 28 = 400 x 30 = 12,000.
Question 6.
Estimate: ___
Answer:
654 is near 700
97 is near to 100
So, 654 x 97 = 700 x 100 = 70,000.
Question 7.
Estimate: ___
Answer:
8292 is near 8000
76 is near 80
So, 8292 x 76 = 8000 x 80 = 6,40,000.
Question 8.
Estimate: ____
Answer:
24736 is near 25000
93 is near 100
So, 24736 x 93 = 25,00,000.
Question 9.
Estimate:
Answer:
56374 is near 60000
32 is near 30
So, 56374 x 32 = 60000 x 30 = 18,00,000.
Question 10.
Estimate:
Answer:
5341 is near 5000
105 is near 100
So, 5341 x 105 = 5000 x 100 = 5,00,000.
Question 11.
STEM A distant star is 2,760 light-years from Earth. The Large Magellanic Cloud is 59 times as many light-years from Earth. How many light-years from Earth is the Large Magellanic Cloud? How do you know whether your answer is reasonable?
Answer:
Given,
A distant star is 2,760 light-years from Earth.
The Large Magellanic Cloud is 59 times as many light-years from Earth.
So, 2760 x 59 =
Therefore, Earth is 162840 light-years from the Large Magellanic Cloud.
2760 is near 3000
59 is near 60
So, 2760 x 59 = 3000 x 60 = 1,80,000.
Hence, the answer is reasonable.
Question 12.
A commuter plane flies the same route 24 times in one week. The route is 1,384 miles. How many miles does the plane fly in one week?
Answer:
Given,
A commuter plane flies the same route 24 times in one week.
The route is 1,384 miles.
So, 1384 x 24 =
Therefore, the plane flies 33,216 miles per week.
On Your Own
Question 13.
Financial Literacy Each unit in a new building sells for $86,650. There are 32 units available. Estimate and then find how much is earned if all 32 units are sold.
Answer:
Given,
Each unit in a new building sells for $86,650.
There are 32 units available.
So, $86,650 x 32 =
86650 is near 90000
32 is near 30
So, $86,650 x 32 = $90000 x 30 = $27,00,000.
Therefore, earnings are approximately $27,00,000
Question 14.
Use Structure Complete the place-value chart to find the product of 48 and 7,326. The sum of the products in the table is equal to 48 × 7,326. How is this related to using the standard algorithm for multiplication?
Answer:
= (56,000 + 2400 + 160 +48 ) =58608
(2,80,000 + 12,000 + 800 + 240 ) = 29304
Question 15.
Reason Find the values for a, b, and c in the multiplication problem.
Answer:
Therefore, a = 4
b = 0
c = 1.
Question 16.
Open Ended Describe another method you can use to multiply 358 and 45.
Answer: