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Answer :
To solve this problem, let's first understand what a multiplicative inverse is. The multiplicative inverse of a number is a value that, when multiplied by the original number, results in 1.
Let's apply this concept to the number 25:
1. We want to find a number that, when multiplied by 25, gives us the product 1.
2. Mathematically, the multiplicative inverse of a number [tex]\( a \)[/tex] is [tex]\( \frac{1}{a} \)[/tex].
3. So, for the number 25, its multiplicative inverse is:
[tex]\[
\frac{1}{25}
\][/tex]
4. Therefore, when you multiply 25 by [tex]\( \frac{1}{25} \)[/tex], you get:
[tex]\[
25 \times \frac{1}{25} = 1
\][/tex]
5. Based on the choices provided, the correct answer is:
- Option B: [tex]\( \frac{1}{25} \)[/tex]
Thus, the multiplicative inverse of 25 is [tex]\( \frac{1}{25} \)[/tex].
Let's apply this concept to the number 25:
1. We want to find a number that, when multiplied by 25, gives us the product 1.
2. Mathematically, the multiplicative inverse of a number [tex]\( a \)[/tex] is [tex]\( \frac{1}{a} \)[/tex].
3. So, for the number 25, its multiplicative inverse is:
[tex]\[
\frac{1}{25}
\][/tex]
4. Therefore, when you multiply 25 by [tex]\( \frac{1}{25} \)[/tex], you get:
[tex]\[
25 \times \frac{1}{25} = 1
\][/tex]
5. Based on the choices provided, the correct answer is:
- Option B: [tex]\( \frac{1}{25} \)[/tex]
Thus, the multiplicative inverse of 25 is [tex]\( \frac{1}{25} \)[/tex].
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