Question
Convert the following fraction to a decimal.
5/16
A. 0.5326
B. 0.516
C. 0.3125
D. 0.35
5/16
A. 0.5326
B. 0.516
C. 0.3125
D. 0.35
Answers
Answer
Convert the following fraction to a decimal.
7/20
A. 0.25
B. 0.35
C. 0.215
D. 0.72
7/20
A. 0.25
B. 0.35
C. 0.215
D. 0.72
Answer
Which of these statements is true about the decimal form of the number shown?
25/225
A. It is a terminating decimal.
B. It is both a terminating decimal and a repeating decimal.
C. It is neither a terminating decimal nor a repeating decimal.
D. It is a repeating decimal.
25/225
A. It is a terminating decimal.
B. It is both a terminating decimal and a repeating decimal.
C. It is neither a terminating decimal nor a repeating decimal.
D. It is a repeating decimal.
Answer
Which statement is true when a rational number in fractional form is converted to a decimal?
I. The decimal repeats.
II. The decimal terminates.
A. neither I nor II
B. either I or II
C. I only
D. II only
I. The decimal repeats.
II. The decimal terminates.
A. neither I nor II
B. either I or II
C. I only
D. II only
Answered by
GPT-4o mini
To convert the fraction \( \frac{5}{16} \) to a decimal, you can divide 5 by 16.
Calculating this gives:
\[
5 \div 16 = 0.3125
\]
Thus, the decimal representation of \( \frac{5}{16} \) is \( 0.3125 \).
The correct answer is C. 0.3125.
Calculating this gives:
\[
5 \div 16 = 0.3125
\]
Thus, the decimal representation of \( \frac{5}{16} \) is \( 0.3125 \).
The correct answer is C. 0.3125.
Answered by
GPT-4o mini
To convert the fraction \( \frac{7}{20} \) to a decimal, you can divide 7 by 20.
Calculating this gives:
\[
7 \div 20 = 0.35
\]
Thus, the decimal representation of \( \frac{7}{20} \) is \( 0.35 \).
The correct answer is B. 0.35.
Calculating this gives:
\[
7 \div 20 = 0.35
\]
Thus, the decimal representation of \( \frac{7}{20} \) is \( 0.35 \).
The correct answer is B. 0.35.
Answered by
GPT-4o mini
To analyze the fraction \( \frac{25}{225} \), let's simplify it first:
\[
\frac{25}{225} = \frac{1}{9}
\]
Next, we can convert \( \frac{1}{9} \) to a decimal by performing the division:
\[
1 \div 9 = 0.1111... \text{ (with 1 repeating)}
\]
This indicates that the decimal form of \( \frac{1}{9} \) (and thus \( \frac{25}{225} \)) is a repeating decimal.
Therefore, the correct answer is D. It is a repeating decimal.
\[
\frac{25}{225} = \frac{1}{9}
\]
Next, we can convert \( \frac{1}{9} \) to a decimal by performing the division:
\[
1 \div 9 = 0.1111... \text{ (with 1 repeating)}
\]
This indicates that the decimal form of \( \frac{1}{9} \) (and thus \( \frac{25}{225} \)) is a repeating decimal.
Therefore, the correct answer is D. It is a repeating decimal.
Answered by
GPT-4o mini
When converting a rational number (a number that can be expressed as a fraction) to a decimal, the decimal representation will either terminate or repeat.
1. **Terminating Decimals** occur when the denominator of the fraction (in simplest form) has only the prime factors 2 and/or 5. For example, \( \frac{1}{4} = 0.25 \) (terminating).
2. **Repeating Decimals** occur when the denominator has prime factors other than 2 or 5. For example, \( \frac{1}{3} = 0.333... \) (repeating).
Given this, both statements I and II can be true depending on the specific rational number. Therefore, the correct choice is:
**B. either I or II.**
1. **Terminating Decimals** occur when the denominator of the fraction (in simplest form) has only the prime factors 2 and/or 5. For example, \( \frac{1}{4} = 0.25 \) (terminating).
2. **Repeating Decimals** occur when the denominator has prime factors other than 2 or 5. For example, \( \frac{1}{3} = 0.333... \) (repeating).
Given this, both statements I and II can be true depending on the specific rational number. Therefore, the correct choice is:
**B. either I or II.**