Question
4.2.1. B Spiral Review
It's time for Spiral Review! This review will help you remember some of the things you have already learned. Take your time and try your best.
1. Of the 64 students in grade five 8
, of them either walk or ride a bike
to school. The rest take a bus. How many fifth graders take a bus to school?
Answer:
2. Find the sum.
5|11
a.
5
b.
- 10
C.
2/ d. 30
Answer:
3. Find the product.
82.71x108
a. 8,271
b. 82,710
c. 827,100
d. 8,271,000
Answer:
4. Use compatible numbers to estimate the quotient of 3,780 ÷ 90 . What compatible numbers did you use? Will your estimate be an underestimate or overestimate? Explain why.
Answer:
Flackbar awner of a vegetable stand posts his prices every morning on a
green beans
$1.19 per pound
zucchini
$0.99 per pound
lettuce
$1.29 pe oun
sweet corn
$0.50 per ear
6. How much will Maya pay for 3 pounds of green beans, 2 pounds of zucchini, 1 pound of lettuce, and 6 ears of sweet corn?
Answer:
It's time for Spiral Review! This review will help you remember some of the things you have already learned. Take your time and try your best.
1. Of the 64 students in grade five 8
, of them either walk or ride a bike
to school. The rest take a bus. How many fifth graders take a bus to school?
Answer:
2. Find the sum.
5|11
a.
5
b.
- 10
C.
2/ d. 30
Answer:
3. Find the product.
82.71x108
a. 8,271
b. 82,710
c. 827,100
d. 8,271,000
Answer:
4. Use compatible numbers to estimate the quotient of 3,780 ÷ 90 . What compatible numbers did you use? Will your estimate be an underestimate or overestimate? Explain why.
Answer:
Flackbar awner of a vegetable stand posts his prices every morning on a
green beans
$1.19 per pound
zucchini
$0.99 per pound
lettuce
$1.29 pe oun
sweet corn
$0.50 per ear
6. How much will Maya pay for 3 pounds of green beans, 2 pounds of zucchini, 1 pound of lettuce, and 6 ears of sweet corn?
Answer:
Answers
GPT-4o mini
Let's go through each question step by step:
1. **How many fifth graders take a bus to school?**
- Total students: 64
- Students who walk or ride a bike: \( \frac{8}{16} \) of 64 = \( \frac{1}{2} \times 64 = 32 \).
- Students who take a bus: \( 64 - 32 = 32 \).
- **Answer:** 32 students take a bus to school.
2. **Find the sum.**
- The problem states “5 | 11”. This is likely referring to two numbers to be added, 5 and 11.
- Sum: \( 5 + 11 = 16 \).
- None of the provided choices reflect this sum, so if this was an error, the closest possible sum should be selected. It appears none of the answers reflect it.
- **Answer:** 16 (but this depends on the context of the question as the choices do not match).
3. **Find the product.**
- \( 82.71 \times 108 \).
- The best choice is similar to performing that multiplication:
- The answer is \( 8,927.68 \), which is not provided directly in the options.
- However, using the closest approximation:
- \( 82.71 \) rounds to \( 83 \) and \( 108 \) remains \( 108 \). Thus \( 83 \times 108 \approx 8,964 \).
- But none of these options appear to match.
- **Answer:** None of the given options correctly represent the answer unless approximating further.
4. **Estimate the quotient using compatible numbers.**
- For \( 3,780 ÷ 90 \), we can round \( 3,780 \) to \( 3,600 \) and \( 90 \) to \( 90 \).
- Now perform the division: \( 3,600 ÷ 90 = 40 \).
- This estimate is most likely to be an overestimate since the original numerator is slightly larger than \( 3,600 \).
- **Compatible numbers used:** 3,600 and 90.
- **Estimate:** 40 (and it is an overestimate because 3,780 is larger than 3,600).
5. **Calculate how much Maya will pay:**
- **Green beans:** 3 pounds × $1.19 = $3.57
- **Zucchini:** 2 pounds × $0.99 = $1.98
- **Lettuce:** 1 pound × $1.29 = $1.29
- **Sweet corn:** 6 ears × $0.50 = $3.00
- Total:
\[
3.57 + 1.98 + 1.29 + 3.00 = 9.84
\]
- **Answer:** Maya will pay $9.84.
These solutions summarize the response for each question in the spiral review.
1. **How many fifth graders take a bus to school?**
- Total students: 64
- Students who walk or ride a bike: \( \frac{8}{16} \) of 64 = \( \frac{1}{2} \times 64 = 32 \).
- Students who take a bus: \( 64 - 32 = 32 \).
- **Answer:** 32 students take a bus to school.
2. **Find the sum.**
- The problem states “5 | 11”. This is likely referring to two numbers to be added, 5 and 11.
- Sum: \( 5 + 11 = 16 \).
- None of the provided choices reflect this sum, so if this was an error, the closest possible sum should be selected. It appears none of the answers reflect it.
- **Answer:** 16 (but this depends on the context of the question as the choices do not match).
3. **Find the product.**
- \( 82.71 \times 108 \).
- The best choice is similar to performing that multiplication:
- The answer is \( 8,927.68 \), which is not provided directly in the options.
- However, using the closest approximation:
- \( 82.71 \) rounds to \( 83 \) and \( 108 \) remains \( 108 \). Thus \( 83 \times 108 \approx 8,964 \).
- But none of these options appear to match.
- **Answer:** None of the given options correctly represent the answer unless approximating further.
4. **Estimate the quotient using compatible numbers.**
- For \( 3,780 ÷ 90 \), we can round \( 3,780 \) to \( 3,600 \) and \( 90 \) to \( 90 \).
- Now perform the division: \( 3,600 ÷ 90 = 40 \).
- This estimate is most likely to be an overestimate since the original numerator is slightly larger than \( 3,600 \).
- **Compatible numbers used:** 3,600 and 90.
- **Estimate:** 40 (and it is an overestimate because 3,780 is larger than 3,600).
5. **Calculate how much Maya will pay:**
- **Green beans:** 3 pounds × $1.19 = $3.57
- **Zucchini:** 2 pounds × $0.99 = $1.98
- **Lettuce:** 1 pound × $1.29 = $1.29
- **Sweet corn:** 6 ears × $0.50 = $3.00
- Total:
\[
3.57 + 1.98 + 1.29 + 3.00 = 9.84
\]
- **Answer:** Maya will pay $9.84.
These solutions summarize the response for each question in the spiral review.