To solve the problem of multiplying [tex]\(0.3128\)[/tex] by [tex]\(1,000\)[/tex], let’s follow a step-by-step approach:
1. Understand the Problem:
- We need to multiply the decimal number [tex]\(0.3128\)[/tex] by [tex]\(1,000\)[/tex].
2. Position of the Decimal Point:
- Multiplying a number by [tex]\(1,000\)[/tex] effectively moves the decimal point three places to the right.
3. Perform the Multiplication:
- Start with the number [tex]\(0.3128\)[/tex].
- Move the decimal point three places to the right:
- Moving it one place to the right gives [tex]\(3.128\)[/tex].
- Moving it a second place to the right gives [tex]\(31.28\)[/tex].
- Moving it a third place to the right gives [tex]\(312.8\)[/tex].
Hence, the product of multiplying [tex]\(0.3128\)[/tex] by [tex]\(1,000\)[/tex] is [tex]\(312.8\)[/tex].
So, the correct answer is:
[tex]\[ 0.3128 \cdot 1,000 = 312.8 \][/tex]
