How many of the prefixes are correctly matched with their multiples `:`
`(i)`pico `(p) -10^(-12)" "(ii)` tera`(T)-10^(12)" "(iii)`giga `(G)-10^(9)`
`(iv)` nano `(n) -10^(-9)" "(v)` mega`(M)-10^(6)" "(vi)`micro`(mu)-10^(-6)`
`(vii)` centi`(cm)-10^(-1)" " (vii)` deci`(D)-10" "(ix)` milli`(m)-10^(-3)`

Options

A. 5
B. 6
C. 7
D. 8

Explanation

To solve the question of how many of the prefixes are correctly matched with their multiples, we will evaluate each prefix one by one.

### Step-by-Step Solution:

1. **Pico (p)**:
- Given: \(10^{-12}\)
- Correct: Yes, \(pico\) indeed corresponds to \(10^{-12}\).

2. **Tera (T)**:
- Given: \(10^{12}\)
- Correct: Yes, \(tera\) corresponds to \(10^{12}\).

3. **Giga (G)**:
- Given: \(10^{9}\)
- Correct: Yes, \(giga\) corresponds to \(10^{9}\).

4. **Nano (n)**:
- Given: \(10^{-9}\)
- Correct: Yes, \(nano\) corresponds to \(10^{-9}\).

5. **Mega (M)**:
- Given: \(10^{6}\)
- Correct: Yes, \(mega\) corresponds to \(10^{6}\).

6. **Micro (μ)**:
- Given: \(10^{-6}\)
- Correct: Yes, \(micro\) corresponds to \(10^{-6}\).

7. **Centi (c)**:
- Given: \(10^{-1}\)
- Correct: No, \(centi\) actually corresponds to \(10^{-2}\).

8. **Deci (d)**:
- Given: \(10^{1}\)
- Correct: No, \(deci\) corresponds to \(10^{-1}\).

9. **Milli (m)**:
- Given: \(10^{-3}\)
- Correct: Yes, \(milli\) corresponds to \(10^{-3}\).

### Summary of Correct Matches:
- Correctly matched prefixes:
- Pico (p) - \(10^{-12}\)
- Tera (T) - \(10^{12}\)
- Giga (G) - \(10^{9}\)
- Nano (n) - \(10^{-9}\)
- Mega (M) - \(10^{6}\)
- Micro (μ) - \(10^{-6}\)
- Milli (m) - \(10^{-3}\)

- Incorrectly matched prefixes:
- Centi (c) - Incorrectly matched with \(10^{-1}\) (should be \(10^{-2}\)).
- Deci (d) - Incorrectly matched with \(10^{1}\) (should be \(10^{-1}\)).

### Final Count:
Out of the 9 prefixes, 7 are correctly matched.

### Answer:
**7 prefixes are correctly matched with their multiples.**

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