McGraw Hill My Math Grade 5 Chapter 6 Lesson 1 Answer Key Estimate Products of Whole Numbers and Decimals

All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 6 Lesson 1 Estimate Products of Whole Numbers and Decimals will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 6 Lesson 1 Estimate Products of Whole Numbers and Decimals

Math in My World

Example 1

Mrs. James buys about 15.8 galIons of gas each week for her car. About how many gallons of gas will she buy in 5 weeks?
McGraw Hill My Math Grade 5 Chapter 6 Lesson 1 Answer Key Estimate Products of Whole Numbers and Decimals 1
Estimate the product of 15.8 and 5.
McGraw Hill My Math Grade 5 Chapter 6 Lesson 1 Answer Key Estimate Products of Whole Numbers and Decimals 2
Helpful Hint
Since 15.8 rounded up to 16, the estimated product is greater than the actual product.

So, 15.8 × 5 is about _________.
Mrs. James buys about _________ gallons of gas in 5 weeks.

Check Use repeated addition.
16 + 16 + 16 + 16 + 16 = _________ or 15.8 + 15.8 + 15.8 + 15.8 + 15.8 = ___________
__________ is close to the estimate, __________, so the answer is reasonable.
Answer:

Since 15.8 rounded up to 16, the estimated product is greater than the actual product
Explanation:
15.8 × 5 is about 79.
Mrs. James buys about 79 gallons of gas in 5 weeks.
Check Use repeated addition.
16 + 16 + 16 + 16 + 16 = 80 or 15.8 + 15.8 + 15.8 + 15.8 + 15.8 = 79
79 is close to the estimate 80, so the answer is reasonable.

Example 2

A worker loads 16 packages onto a truck. Each package weighs 58.5 pounds. About how many pounds are loaded onto the truck?
Estimate the product of 58.5 and 16.
McGraw Hill My Math Grade 5 Chapter 6 Lesson 1 Answer Key Estimate Products of Whole Numbers and Decimals 3
So, 58.5 × 16 is about ____________.
Answer:

Explanation:
So, 58.5 × 16 is about = 936
A worker loads 16 packages onto a truck.
Each package weighs 58.5 pounds.
About how many pounds are loaded onto the truck = 936 pounds.
Estimate the product of 58.5 and 16, then it is 1200 pounds as shown above.

Talk Math

Explain how to round 18.9 to the nearest whole number.
Answer:
19
Explanation:
To round 18.9 to the nearest whole number consider the tenths’ value of 18.9, which is 9 and equal or more than 5.
Therefore, we have to round up: the whole number part of 18.9, 8, increases by 1 to 19, and the decimal point and all digits (. 9) are removed.

Guided Practice

Estimate each product.

Question 1.
2 × $4.10
Answer:
$8
Explanation:
Round up 4.10 to the nearest ten as 4.
2 x 4 = 8
So, 2 × $4.10 = 8.2 is estimate of 8.

Question 2.
18.4 × 10
Answer:
180
Explanation:
Round up 18.4 to the nearest ten as 18.
18 x 10 = 180
So, 10 × 18.4 = 184 is estimate of 180.

Question 3.
19.8 × 3
Answer:
60
Explanation:
Round up 19.8 to the nearest ten as 20.
20 x 3 = 60

Question 4.
5 × $2.14
Answer:
$10
Explanation:
Round up 2.14 to the nearest ten as 2.
2 x 5 = 10

Independent Practice

Estimate each product.

Question 5.
4 × $4.62
Answer:
$20
Explanation:
To find the estimate, first round $4.62 to the nearest whole number.
If the tenths place is more than 5 round up to the nearest ten as 5.
So, 4 x $5 = $20
4 × $4.62 = $18.48 is estimate to $20.

Question 6.
3 × $23.07
Answer:
$69
Explanation:
To find the estimate, first round $23.07 to the nearest whole number.
If the tenths place is more than 5 round up to the nearest ten as 23.
So, 3 x $23 = $69
3 × $23.07 = $69.21 is estimate to $69.

Question 7.
$15.50 × 6
Answer:
$96
Explanation:
To find the estimate, first round $15.50 to the nearest whole number.
If the tenths place is more than 5 round up to the nearest ten as 16.
So, 6 x $16 = $96

Question 8.
$16.85 × 9
Answer:
$150
Explanation:
To find the estimate, first round $16.85 to the nearest whole number.
If the tenths place is more than 5 round up to the nearest ten as 17.
So, 9 x $17 = $153
$16.85 × 9 = 151 .65 is estimated to nearest ten as 150.

Question 9.
7.2 × 5
Answer:
$35
Explanation:
To find the estimate, first round $7.2 to the nearest whole number.
If the tenths place is less than 5 round down to the nearest ten as 7.
So, 5 x $7 = $35

Question 10.
14.5 × 3
Answer:
$45
Explanation:
To find the estimate, first round $14.5 to the nearest whole number.
If the tenths place is more than 5 round up to the nearest ten as 15.
So, 3 x $15 = $45

Question 11.
9 × 19.7
Answer:
$200
Explanation:
To find the estimate, first round $19.7 to the nearest whole number.
If the tenths place is more than 5 round up to the nearest ten as 20.
9 is rounded to the nearest ten as 10.
So, 10 x $20 = $200

Question 12.
11 × 26.2
Answer:
$260
Explanation:
To find the estimate, first round $26.2 to the nearest whole number.
If the tenths place is less than 5 round down to the nearest ten as 26.
11 is rounded to nearest ten as 10.
So, 10 x $26 = $260

Question 13.
$0.89 × 14
Answer:
$14
Explanation:
To find the estimate, first round $0.89 to the nearest whole number.
If the tenths place is more than 5 round up to the nearest ten as 1.
So, 14 x $1 = $14

Question 14.
$18.8 × 13
Answer:
$300
Explanation:
To find the estimate, first round $18.8 to the nearest whole number.
If the tenths place is more than 5 round up to the nearest ten as 20.
13 is rounded to 15.
So, $20 x 15 = $300

Problem Solving

Use the items below to estimate the cost of each order in Exercises 15 and 16.
McGraw Hill My Math Grade 5 Chapter 6 Lesson 1 Answer Key Estimate Products of Whole Numbers and Decimals 4
Question 15.
4 flip flops ____________
Answer:
$24
Explanation:
Cost of one flip flop = $5.95
round up to the nearest ten as 6.
Cost of 4 flip flops = 4 x 6 = $24.

Question 16.
3 sunglasses and 2 flip flops ____________
Answer:
$45
Explanation:
Cost of one flip flop = $5.95
round up to the nearest ten as 6.
Cost of 2 flip flops = 2 x 6 = $12.
Cost of one sunglass = $10.89
round up to the nearest ten as 11.
Cost of 3 sunglasses = 3 x 11 = $33.
Total cost of sunglasses and 2 flip flops = 12 + 33 = $45

Question 17.
Mathematical PRACTICE Use Number Sense About 57 people rent roller blades at the skating rink each day. It costs $4.25 to rent roller blades. About how much does the rink make in skate rentals in one day?
McGraw Hill My Math Grade 5 Chapter 6 Lesson 1 Answer Key Estimate Products of Whole Numbers and Decimals 5
Answer:
$240
Explanation:
About 57 people rent roller blades at the skating rink each day.
Cost of one roller blade = $4.25
About how much does the rink make in skate rentals in one day,
57 x $4.25 = $242.25
Estimate: $240

HOT Problems

Question 18.
Mathematical PRACTICE Model Math Write a real-world multiplication problem involving whole numbers and decimals in which you would use estimation to solve. Then estimate to solve the problem.
Answer:
Teena earns $32.25 a day. After 7 days, about how much will she have earned?
Explanation:
Teena earns $32.25 a day.
After 7 days, she earns,
round $32.25 to the nearest ten as 30 then multiply with 7.
30 x 7 = $210

Question 19.
Building on the Essential Question Why is it important to use estimation when solving problems?
Answer:
Estimation is best used when we need a close enough answer in a short space of time.
Explanation:
Estimates can be used to make quick decisions before an accurate calculation is required.
Also, the easiest way to estimate is to round to the nearest multiple of ten,
because the tens are so easy for to calculate.

McGraw Hill My Math Grade 5 Chapter 6 Lesson 1 My Homework Answer Key

Practice

Estimate each product.

Question 1.
$27.64 × 3
Answer:
$90
Explanation:
Round up $27.64 to the nearest ten as 30, then multiply.
30 x 3 = 90

Question 2.
11.9 × 21
Answer:
210
Explanation:
Round up $11.9 to the nearest ten as 10, then multiply.
10 x 21 = 210

Question 3.
87.2 × 41
Answer:
3690
Explanation:
Round up 87.2 to the nearest hundred as 90, then multiply.
90 x 41 = 3690

Question 4.
7.7 × 4
Answer:
32
Explanation:
Round up 7.7 to the nearest ten as 8, then multiply.
8 x 4 = 32

Question 5.
$63.44 × 6
Answer:
360
Explanation:
Round up $63.44 to the nearest ten as 60, then multiply.
60 x 6 = 360

Question 6.
51.7 × 9
Answer:
450
Explanation:
Round up 51.7 to the nearest ten as 50, then multiply.
50 x 9 = 450

Question 7.
33.3 × 33
Answer:
990
Explanation:
Round up 33.3 to the nearest ten as 30, then multiply.
33 x 30 = 990

Question 8.
$17.55 × 9
Answer:
$180
Explanation:
Round up $17.55 to the nearest ten as 20, then multiply.
20 x 9 = 180

Question 9.
17.6 × 51
Answer:
1020
Explanation:
Round up 17.6 to the nearest ten as 20, then multiply.
20 x 50 = 1000

Problem Solving

Question 10.
Mathematical PRACTICE Make Sense of Problems Andrea earns $32.25 a day. After 9 days, about how much will she have earned?
Answer:
$270
Explanation:
Andrea earns $32.25 a day.
After 9 days, she earns,
round $32.25 to the nearest ten as 30 then multiply with 7.
30 x 9 = $270

Question 11.
Janie skates at the local skating rink for about 2.4 hours every day. If the skating rink is open 54 days a year, about how many hours does Janie skate each year?
Answer:
100 hours.
Explanation:
Janie skates at the local skating rink for about 2.4 hours every day.
If the skating rink is open 54 days a year,
No. of hours does Janie skate each year,
Compatible the numbers to the nearest whole numbers as,
54 as 50 and 2.4 as 2 then multiply both the numbers.
50 x 2 = 100 hours.

Question 12.
Each Sunday during his nine-week summer vacation, Ray buys a newspaper. The Sunday paper costs $1.85. About how much does Ray spend on the Sunday newspaper during his vacation?
Answer:
$18
Explanation:
The Sunday paper costs $1.85.
9 week summer vacation, so 9 Sundays.
Total amount Ray spend on the Sunday newspaper during his vacation,
estimate $1.85 to 2 then multiply with 9.
9 x 2 = $18

Question 13.
A group of 5 people goes to the theater. If each ticket costs $6.50, is $50 a reasonable estimate for the cost of 5 tickets? Explain.
Answer:
No, $50 is not a reasonable estimate for the cost of 5 tickets.
Explanation:
A group of 5 people goes to the theater.
If each ticket costs $6.50,
round up to the nearest ten as 7.
Total cost of tickets = 7 x 5 = $35

McGraw Hill My Math Grade 5 Chapter 6 Lesson 1 Answer Key Estimate Products of Whole Numbers and Decimals 6

Question 14.
An amusement park charges $35.50 for admission. On Saturday, 6,789 people visited the park. About how much money did the park earn from admission that day?
Answer:
$244,404.
Explanation:
An amusement park charges $35.50 for admission.
On Saturday, 6,789 people visited the park.
Total money did the park earn from admission that day,
$35.5 is rounded up to the nearest ten as 36.
36 x 6789 = $244,404.

Test Practice

Question 15.
In Spanish class, Kevin learns an average of 34.5 new words per month. If he takes Spanish for 9 months, which is the best estimate for about how many words he will learn?
(A) 350 words
(B) 355 words
(C) 360 words
(D) 365 words
Answer:
Option(A)
Explanation:
Kevin learns an average of 34.5 new words per month.
If he takes Spanish for 9 months,
34.5 x 9 = 310.5 words
The best estimate for about number of words he will learn,
from the above options is 350 words.

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