Answer :
To solve Marci's division problem correctly, we need to analyze the elements and find the accurate representation. Here's a breakdown:
1. Identify Components:
- Dividend: 175 (The number to be divided)
- Divisor: 5 (The number by which the dividend is divided)
- Quotient: 35 (The result of the division)
2. Division Equation:
The standard form of division is:
[tex]\[
\text{Dividend} \div \text{Divisor} = \text{Quotient}
\][/tex]
Plugging in the numbers, it becomes:
[tex]\[
175 \div 5 = 35
\][/tex]
This implies that 175 divided by 5 equals 35.
3. Check the Representations:
Let's compare this with the given options:
- [tex]\(35 \div 5 = 175\)[/tex] is not correct, because it suggests that 35 divided by 5 equals 175, which is untrue.
- [tex]\(5 \div 175 = 35\)[/tex] is not correct, as dividing 5 by 175 does not yield 35.
- [tex]\(\frac{175}{35} = 5\)[/tex] is not correct for this problem. Although it’s mathematically valid, it represents dividing the quotient into the dividend, which results in the divisor.
- [tex]\(\frac{175}{5} = 35\)[/tex] correctly represents the given problem, where dividing 175 by 5 gives the quotient 35.
Hence, the correct representation of Marci's division problem is:
[tex]\[
\frac{175}{5} = 35
\][/tex]
1. Identify Components:
- Dividend: 175 (The number to be divided)
- Divisor: 5 (The number by which the dividend is divided)
- Quotient: 35 (The result of the division)
2. Division Equation:
The standard form of division is:
[tex]\[
\text{Dividend} \div \text{Divisor} = \text{Quotient}
\][/tex]
Plugging in the numbers, it becomes:
[tex]\[
175 \div 5 = 35
\][/tex]
This implies that 175 divided by 5 equals 35.
3. Check the Representations:
Let's compare this with the given options:
- [tex]\(35 \div 5 = 175\)[/tex] is not correct, because it suggests that 35 divided by 5 equals 175, which is untrue.
- [tex]\(5 \div 175 = 35\)[/tex] is not correct, as dividing 5 by 175 does not yield 35.
- [tex]\(\frac{175}{35} = 5\)[/tex] is not correct for this problem. Although it’s mathematically valid, it represents dividing the quotient into the dividend, which results in the divisor.
- [tex]\(\frac{175}{5} = 35\)[/tex] correctly represents the given problem, where dividing 175 by 5 gives the quotient 35.
Hence, the correct representation of Marci's division problem is:
[tex]\[
\frac{175}{5} = 35
\][/tex]
