Let's solve each problem step by step:
---
Problem 1: What is 6050.287 rounded to the nearest ten?
To round to the nearest ten:
1. Identify the digit in the tens place: In 6050.287, the tens place is
5.
2. Look at the digit in the ones place (the digit immediately to the right of the tens place): Here, it is
0.
3. If the ones digit is 5 or greater, round up; if it is less than 5, keep the tens digit the same.
- Since the ones digit is
0, we do not round up.
4. The number remains
6050.
Answer: A. 6050
---
Problem 2: The total land area for the United States is 3,537,438 square miles. What is this value rounded to the nearest thousand square miles?
To round to the nearest thousand:
1. Identify the digit in the thousands place: In 3,537,438, the thousands place is
7.
2. Look at the digit in the hundreds place (the digit immediately to the right of the thousands place): Here, it is
4.
3. If the hundreds digit is 5 or greater, round up; if it is less than 5, keep the thousands digit the same.
- Since the hundreds digit is
4, we do not round up.
4. The number becomes
3,537,000.
Answer: B. 3,537,000
---
Problem 3: What is 40% of 250?
To find 40% of 250:
1. Convert 40% to a decimal: \( 40\% = 0.40 \).
2. Multiply 250 by 0.40:
\[
250 \times 0.40 = 100
\]
Answer: B. 100
---
Problem 4: What is \(\frac{3}{8}\) written as a percent?
To convert \(\frac{3}{8}\) to a percent:
1. Divide 3 by 8 to get the decimal:
\[
\frac{3}{8} = 0.375
\]
2. Convert the decimal to a percent by multiplying by 100:
\[
0.375 \times 100 = 37.5\%
\]
Answer: C. 37.5%
---
Problem 5: What is the decimal 0.7 written as a fraction?
To convert 0.7 to a fraction:
1. Write 0.7 as a fraction over 10:
\[
0.7 = \frac{7}{10}
\]
2. Simplify if possible. Here, \(\frac{7}{10}\) is already in its simplest form.
Answer: D. \(\frac{7}{10}\)
---
Problem 6: A company donated 200 books to a local library. If 70 of them are fiction, what percent of the donated books are fiction?
To find the percentage of fiction books:
1. Use the formula:
\[
\text{Percentage} = \left( \frac{\text{Number of fiction books}}{\text{Total number of books}} \right) \times 100
\]
2. Substitute the values:
\[
\text{Percentage} = \left( \frac{70}{200} \right) \times 100
\]
3. Simplify the fraction:
\[
\frac{70}{200} = \frac{7}{20}
\]
4. Multiply by 100:
\[
\frac{7}{20} \times 100 = 35\%
\]
Answer: A. 35%
---
Problem 7: In a parking lot, 1 out of every 8 cars is blue. What percent of the cars in this lot are blue?
To find the percentage of blue cars:
1. Use the ratio given: 1 out of every 8 cars is blue.
2. Convert the ratio to a fraction:
\[
\frac{1}{8}
\]
3. Convert the fraction to a decimal:
\[
\frac{1}{8} = 0.125
\]
4. Convert the decimal to a percent by multiplying by 100:
\[
0.125 \times 100 = 12.5\%
\]
Answer: D. 12.5%
---
Final Answers:
1.
A. 6050
2.
B. 3,537,000
3.
B. 100
4.
C. 37.5%
5.
D. \(\frac{7}{10}\)
6.
A. 35%
7.
D. 12.5%
\boxed{A, B, B, C, D, A, D}
Parent Tip: Review the logic above to help your child master the concept of fifth grade math tests.
