Answer :
To solve the problem and find the correct representation of the division among the given options, here is a step-by-step explanation:
1. Understanding Division Terms:
- Dividend: The number that is being divided. In this problem, it's 175.
- Divisor: The number by which the dividend is divided. In this problem, it's 5.
- Quotient: The result of the division. In this problem, it's 35.
2. Translation of Names to Operations:
- A division operation can be written as: [tex]\(\frac{\text{dividend}}{\text{divisor}} = \text{quotient}\)[/tex].
- Therefore, for our numbers: [tex]\(\frac{175}{5} = 35\)[/tex].
3. Evaluating the Given Options:
- Option 1: [tex]\(5 \div 175 = 35\)[/tex]
This suggests that 5 divided by 175 equals 35, which is incorrect.
- Option 2: [tex]\(35 \div 5 = 175\)[/tex]
This suggests that 35 divided by 5 equals 175, which is incorrect.
- Option 3: [tex]\(\frac{175}{35} = 5\)[/tex]
This suggests that 175 divided by 35 equals 5, which is incorrect.
- Option 4: [tex]\(\frac{175}{5} = 35\)[/tex]
This suggests that 175 divided by 5 equals 35, which is correct.
4. Conclusion:
The correct representation of the division problem is [tex]\(\frac{175}{5} = 35\)[/tex].
Therefore, the correct statement is [tex]\(\frac{175}{5} = 35\)[/tex].
1. Understanding Division Terms:
- Dividend: The number that is being divided. In this problem, it's 175.
- Divisor: The number by which the dividend is divided. In this problem, it's 5.
- Quotient: The result of the division. In this problem, it's 35.
2. Translation of Names to Operations:
- A division operation can be written as: [tex]\(\frac{\text{dividend}}{\text{divisor}} = \text{quotient}\)[/tex].
- Therefore, for our numbers: [tex]\(\frac{175}{5} = 35\)[/tex].
3. Evaluating the Given Options:
- Option 1: [tex]\(5 \div 175 = 35\)[/tex]
This suggests that 5 divided by 175 equals 35, which is incorrect.
- Option 2: [tex]\(35 \div 5 = 175\)[/tex]
This suggests that 35 divided by 5 equals 175, which is incorrect.
- Option 3: [tex]\(\frac{175}{35} = 5\)[/tex]
This suggests that 175 divided by 35 equals 5, which is incorrect.
- Option 4: [tex]\(\frac{175}{5} = 35\)[/tex]
This suggests that 175 divided by 5 equals 35, which is correct.
4. Conclusion:
The correct representation of the division problem is [tex]\(\frac{175}{5} = 35\)[/tex].
Therefore, the correct statement is [tex]\(\frac{175}{5} = 35\)[/tex].
