Question
Of the 64 students in grade five 3/ , 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:
Find the sum. 2/3+3/6
Answer:
Find the product.82.71x10^3
8,271
82,710
827,100
8,271,000
Answer:
Use compatible numbers to estimate the quotient of . What compatible numbers did you use? Will your estimate be an underestimate or overestimate? Explain why.
Answer:
The owner of a vegetable stand posts his prices every morning on a blackboard.
green beans
$1.19 per pound
zucchini
$0.99 per pound
lettuce
$1.29 per pound
sweet corn
$0.50 per ear
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:
Answer:
Find the sum. 2/3+3/6
Answer:
Find the product.82.71x10^3
8,271
82,710
827,100
8,271,000
Answer:
Use compatible numbers to estimate the quotient of . What compatible numbers did you use? Will your estimate be an underestimate or overestimate? Explain why.
Answer:
The owner of a vegetable stand posts his prices every morning on a blackboard.
green beans
$1.19 per pound
zucchini
$0.99 per pound
lettuce
$1.29 per pound
sweet corn
$0.50 per ear
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
Answered by
GPT-4o mini
Let's solve each part of your question step by step.
### Part 1: Students Taking a Bus to School
You mentioned that \(\frac{3}{4}\) of the 64 students either walk or ride a bike to school.
1. Calculate the number of students who walk or ride a bike:
\[
\text{Number of students who walk or ride} = \frac{3}{4} \times 64 = 48
\]
2. The number of students who take a bus:
\[
\text{Number of students who take a bus} = 64 - 48 = 16
\]
**Answer**: 16 students take a bus to school.
### Part 2: Sum of Fractions
Find the sum of \(\frac{2}{3}\) and \(\frac{3}{6}\):
1. Convert \(\frac{3}{6}\) to \(\frac{1}{2}\) since both fractions would use a common denominator of 6 for easier addition.
2. The common denominator is 6:
- \(\frac{2}{3} = \frac{4}{6}\)
- \(\frac{3}{6} = \frac{3}{6}\)
3. Now add them:
\[
\frac{4}{6} + \frac{3}{6} = \frac{7}{6} \text{ or } 1 \frac{1}{6}
\]
**Answer**: \(\frac{7}{6}\) or \(1 \frac{1}{6}\)
### Part 3: Product of a Number in Scientific Notation
You have the number \(82.71 \times 10^3\):
To express this in standard form:
1. Multiply:
\[
82.71 \times 10^3 = 82710
\]
**Answer**: 82,710
### Part 4: Estimate the Quotient
You didn’t provide specific numbers to estimate. However, I can explain the concept.
Assuming you have two numbers, you would pick round numbers that are easy to work with. For example, for 46 divided by 3.
1. Use compatible numbers such as \(45\) (for 46 rounded down) and \(3\).
2. Estimate:
\[
\frac{45}{3} = 15
\]
Now, whether this is an underestimate or overestimate depends on the original numbers. Since \(46\) is slightly more than \(45\), and \(3\) is exact, our estimate of 15 is likely **an underestimate**.
**Answer**: The compatible numbers could be 45 and 3; it's an underestimate.
### Part 5: Cost Calculation
Calculate the total cost for Maya:
1. **Green Beans**: \(3 \text{ pounds} \times 1.19 = 3.57\)
2. **Zucchini**: \(2 \text{ pounds} \times 0.99 = 1.98\)
3. **Lettuce**: \(1 \text{ pound} \times 1.29 = 1.29\)
4. **Sweet Corn**: \(6 \text{ ears} \times 0.50 = 3.00\)
Adding these together:
\[
3.57 + 1.98 + 1.29 + 3.00 = 9.84
\]
**Answer**: Maya will pay $9.84.
### Part 1: Students Taking a Bus to School
You mentioned that \(\frac{3}{4}\) of the 64 students either walk or ride a bike to school.
1. Calculate the number of students who walk or ride a bike:
\[
\text{Number of students who walk or ride} = \frac{3}{4} \times 64 = 48
\]
2. The number of students who take a bus:
\[
\text{Number of students who take a bus} = 64 - 48 = 16
\]
**Answer**: 16 students take a bus to school.
### Part 2: Sum of Fractions
Find the sum of \(\frac{2}{3}\) and \(\frac{3}{6}\):
1. Convert \(\frac{3}{6}\) to \(\frac{1}{2}\) since both fractions would use a common denominator of 6 for easier addition.
2. The common denominator is 6:
- \(\frac{2}{3} = \frac{4}{6}\)
- \(\frac{3}{6} = \frac{3}{6}\)
3. Now add them:
\[
\frac{4}{6} + \frac{3}{6} = \frac{7}{6} \text{ or } 1 \frac{1}{6}
\]
**Answer**: \(\frac{7}{6}\) or \(1 \frac{1}{6}\)
### Part 3: Product of a Number in Scientific Notation
You have the number \(82.71 \times 10^3\):
To express this in standard form:
1. Multiply:
\[
82.71 \times 10^3 = 82710
\]
**Answer**: 82,710
### Part 4: Estimate the Quotient
You didn’t provide specific numbers to estimate. However, I can explain the concept.
Assuming you have two numbers, you would pick round numbers that are easy to work with. For example, for 46 divided by 3.
1. Use compatible numbers such as \(45\) (for 46 rounded down) and \(3\).
2. Estimate:
\[
\frac{45}{3} = 15
\]
Now, whether this is an underestimate or overestimate depends on the original numbers. Since \(46\) is slightly more than \(45\), and \(3\) is exact, our estimate of 15 is likely **an underestimate**.
**Answer**: The compatible numbers could be 45 and 3; it's an underestimate.
### Part 5: Cost Calculation
Calculate the total cost for Maya:
1. **Green Beans**: \(3 \text{ pounds} \times 1.19 = 3.57\)
2. **Zucchini**: \(2 \text{ pounds} \times 0.99 = 1.98\)
3. **Lettuce**: \(1 \text{ pound} \times 1.29 = 1.29\)
4. **Sweet Corn**: \(6 \text{ ears} \times 0.50 = 3.00\)
Adding these together:
\[
3.57 + 1.98 + 1.29 + 3.00 = 9.84
\]
**Answer**: Maya will pay $9.84.