Final answer:
To find the answer to the student's problem, first multiply 23 by 7,876.54, then divide the product by 0.09280, and round the final answer to three significant figures using standard rounding rules.
Step-by-step explanation:
To multiply 23 by 7,876.54, you can use a calculator or multiply the numbers manually. After calculating the product, you divide it by 0.09280. According to the information provided, we apply the rounding rules similar to the ones used in addition and subtraction after dividing, limiting our final answer to three significant figures.
Here's how you can do this step by step:
- Multiply 23 by 7,876.54 to get the product.
- Divide the product obtained in step 1 by 0.09280.
- Round the answer to three significant figures as per the rules of significant figures.
As a relevant example, to divide 1.9436 by powers of 10, you would move the decimal point to the left as many places as the power of 10 indicates, such as 1.9436 ÷ 1000 = 0.0019436.