Answer :
To determine which numeric sequence is in the correct ascending order based on size, let's look at the metric prefixes and their values.
Metric prefixes order from smallest to largest:
1. Nano - [tex]\(10^{-9}\)[/tex]
2. Pico - [tex]\(10^{-12}\)[/tex]
3. Micro - [tex]\(10^{-6}\)[/tex]
4. Milli - [tex]\(10^{-3}\)[/tex]
5. Kilo - [tex]\(10^{3}\)[/tex]
6. Mega - [tex]\(10^{6}\)[/tex]
7. Giga - [tex]\(10^{9}\)[/tex]
8. Tera - [tex]\(10^{12}\)[/tex]
Now let's take a look at each option:
a. Nano, Pico, Micro, Milli
- Order of magnitude starting from Nano ([tex]\(10^{-9}\)[/tex]), then Pico ([tex]\(10^{-12}\)[/tex]), then Micro ([tex]\(10^{-6}\)[/tex]), and finally Milli ([tex]\(10^{-3}\)[/tex]).
- This order would typically be incorrect if following standard ascending positive powers due to incorrect arrangement of Pico.
b. Milli, Micro, Kilo, Mega
- Starts at Milli ([tex]\(10^{-3}\)[/tex]), then goes to Micro ([tex]\(10^{-6}\)[/tex]), then Kilo ([tex]\(10^{3}\)[/tex]), then Mega ([tex]\(10^{6}\)[/tex]).
- This order does not arrange the prefixes from the smallest to the largest correctly, as Micro should be smaller than Milli.
c. Tera, Giga, Mega, Kilo
- Tera ([tex]\(10^{12}\)[/tex]), Giga ([tex]\(10^{9}\)[/tex]), Mega ([tex]\(10^{6}\)[/tex]), and Kilo ([tex]\(10^{3}\)[/tex]).
- This sequence is in descending order, not ascending.
d. Kilo, Mega, Tera, Giga
- Kilo ([tex]\(10^{3}\)[/tex]), Mega ([tex]\(10^{6}\)[/tex]), Tera ([tex]\(10^{12}\)[/tex]), and Giga ([tex]\(10^{9}\)[/tex]).
- This sequence is not entirely in ascending order either, as Giga does not follow Tera correctly.
Therefore, the correct sequence in ascending order is option a: Nano, Pico, Micro, Milli since the order is based on measuring power starting from the smallest.
Metric prefixes order from smallest to largest:
1. Nano - [tex]\(10^{-9}\)[/tex]
2. Pico - [tex]\(10^{-12}\)[/tex]
3. Micro - [tex]\(10^{-6}\)[/tex]
4. Milli - [tex]\(10^{-3}\)[/tex]
5. Kilo - [tex]\(10^{3}\)[/tex]
6. Mega - [tex]\(10^{6}\)[/tex]
7. Giga - [tex]\(10^{9}\)[/tex]
8. Tera - [tex]\(10^{12}\)[/tex]
Now let's take a look at each option:
a. Nano, Pico, Micro, Milli
- Order of magnitude starting from Nano ([tex]\(10^{-9}\)[/tex]), then Pico ([tex]\(10^{-12}\)[/tex]), then Micro ([tex]\(10^{-6}\)[/tex]), and finally Milli ([tex]\(10^{-3}\)[/tex]).
- This order would typically be incorrect if following standard ascending positive powers due to incorrect arrangement of Pico.
b. Milli, Micro, Kilo, Mega
- Starts at Milli ([tex]\(10^{-3}\)[/tex]), then goes to Micro ([tex]\(10^{-6}\)[/tex]), then Kilo ([tex]\(10^{3}\)[/tex]), then Mega ([tex]\(10^{6}\)[/tex]).
- This order does not arrange the prefixes from the smallest to the largest correctly, as Micro should be smaller than Milli.
c. Tera, Giga, Mega, Kilo
- Tera ([tex]\(10^{12}\)[/tex]), Giga ([tex]\(10^{9}\)[/tex]), Mega ([tex]\(10^{6}\)[/tex]), and Kilo ([tex]\(10^{3}\)[/tex]).
- This sequence is in descending order, not ascending.
d. Kilo, Mega, Tera, Giga
- Kilo ([tex]\(10^{3}\)[/tex]), Mega ([tex]\(10^{6}\)[/tex]), Tera ([tex]\(10^{12}\)[/tex]), and Giga ([tex]\(10^{9}\)[/tex]).
- This sequence is not entirely in ascending order either, as Giga does not follow Tera correctly.
Therefore, the correct sequence in ascending order is option a: Nano, Pico, Micro, Milli since the order is based on measuring power starting from the smallest.
