Answer :
Sure! Let's walk through the steps to multiply [tex]\(12.1\)[/tex] by [tex]\(10^4\)[/tex]:
1. Understand the Power of 10:
- [tex]\(10^4\)[/tex] means 10 raised to the power of 4, which translates to [tex]\(10,000\)[/tex].
2. Multiplication by 10,000:
- When you multiply a number by [tex]\(10^4\)[/tex], you are essentially multiplying the number by [tex]\(10,000\)[/tex].
- This often involves shifting the decimal point of the number four places to the right.
3. Shift the Decimal Point:
- Start with [tex]\(12.1\)[/tex].
- Shifting the decimal point four places to the right for [tex]\(12.1\)[/tex] gives us [tex]\(121,000\)[/tex].
So, [tex]\(12.1 \times 10^4 = 121,000\)[/tex].
Thus, the correct answer is:
121,000
1. Understand the Power of 10:
- [tex]\(10^4\)[/tex] means 10 raised to the power of 4, which translates to [tex]\(10,000\)[/tex].
2. Multiplication by 10,000:
- When you multiply a number by [tex]\(10^4\)[/tex], you are essentially multiplying the number by [tex]\(10,000\)[/tex].
- This often involves shifting the decimal point of the number four places to the right.
3. Shift the Decimal Point:
- Start with [tex]\(12.1\)[/tex].
- Shifting the decimal point four places to the right for [tex]\(12.1\)[/tex] gives us [tex]\(121,000\)[/tex].
So, [tex]\(12.1 \times 10^4 = 121,000\)[/tex].
Thus, the correct answer is:
121,000
