To convert 5 decades into months, you need to know the conversion factors between these units.
1. One decade is equivalent to 10 years.
2. One year is equivalent to 12 months.
To find the total number of months in 5 decades, you multiply the number of decades by the number of years per decade and then by the number of months per year.
The correct option is:
[tex]\[ \text{5 decades} \times \frac{10 \text{ years}}{1 \text{ decade}} \times \frac{12 \text{ months}}{1 \text{ year}} \][/tex]
Breaking it down step by step:
1. There are 10 years in each decade.
2. Multiply 5 decades by 10 years/decade to convert decades to years:
[tex]\[ 5 \text{ decades} \times 10 \text{ years/decade} = 50 \text{ years} \][/tex]
3. There are 12 months in each year.
4. Multiply 50 years by 12 months/year to convert years to months:
[tex]\[ 50 \text{ years} \times 12 \text{ months/year} = 600 \text{ months} \][/tex]
Thus, 5 decades is equal to 600 months. Option A is the correct answer.
