Answer :
Sure! Let's go through the problem step-by-step to identify the correct mathematical representation.
We know these facts from the problem:
- The dividend is 175.
- The divisor is 5.
- The quotient is 35.
To express this division problem correctly, let's understand what each number represents:
1. Dividend: This is the number that is being divided. Here, it is 175.
2. Divisor: This is the number by which the dividend is divided. Here, it is 5.
3. Quotient: This is the result of the division. Here, it is 35.
Using these definitions, we can write the division as:
[tex]\[ \frac{\text{dividend}}{\text{divisor}} = \text{quotient} \][/tex]
So:
[tex]\[ \frac{175}{5} = 35 \][/tex]
Now, let's examine the given options:
1. [tex]\( \frac{175}{35} = 5 \)[/tex]:
- This is incorrect because dividing 175 by 35 does not equal 5.
2. [tex]\( 35 \div 5 = 175 \)[/tex]:
- This is incorrect because dividing 35 by 5 does not equal 175.
3. [tex]\( \frac{175}{5} = 35 \)[/tex]:
- This is correct because dividing 175 by 5 equals 35.
4. [tex]\( 5 \div 175 = 35 \)[/tex]:
- This is incorrect because dividing 5 by 175 does not equal 35.
Therefore, the correct representation of this division problem is:
[tex]\[ \frac{175}{5} = 35 \][/tex]
So, the answer is:
[tex]\[ \boxed{\frac{175}{5} = 35} \][/tex]
We know these facts from the problem:
- The dividend is 175.
- The divisor is 5.
- The quotient is 35.
To express this division problem correctly, let's understand what each number represents:
1. Dividend: This is the number that is being divided. Here, it is 175.
2. Divisor: This is the number by which the dividend is divided. Here, it is 5.
3. Quotient: This is the result of the division. Here, it is 35.
Using these definitions, we can write the division as:
[tex]\[ \frac{\text{dividend}}{\text{divisor}} = \text{quotient} \][/tex]
So:
[tex]\[ \frac{175}{5} = 35 \][/tex]
Now, let's examine the given options:
1. [tex]\( \frac{175}{35} = 5 \)[/tex]:
- This is incorrect because dividing 175 by 35 does not equal 5.
2. [tex]\( 35 \div 5 = 175 \)[/tex]:
- This is incorrect because dividing 35 by 5 does not equal 175.
3. [tex]\( \frac{175}{5} = 35 \)[/tex]:
- This is correct because dividing 175 by 5 equals 35.
4. [tex]\( 5 \div 175 = 35 \)[/tex]:
- This is incorrect because dividing 5 by 175 does not equal 35.
Therefore, the correct representation of this division problem is:
[tex]\[ \frac{175}{5} = 35 \][/tex]
So, the answer is:
[tex]\[ \boxed{\frac{175}{5} = 35} \][/tex]
