Question

Write the answer to the following problem with the correct number of significant

figures:
32.0 * 0.0344 * 110.0 /(12.5 * 0.900) =

Answer 1

To solve the problem, multiply and divide the given numbers, ensuring that the final answer has the correct number of significant figures, which in this case is three. The final rounded answer is approximately 2.69.

Step-by-step explanation:

To calculate the expression 32.0 * 0.0344 * 110.0 /(12.5 * 0.900) with the correct number of significant figures, follow these steps:

1. Multiply 32.0 (with 3 significant figures) by 0.0344 (with 3 significant figures). This yields a product with 3 significant figures.
2. Multiply the resulting product by 110.0 (which has 4 significant figures). The least number of significant figures from the previous step is 3, so we will keep up to 3 significant figures for this product.
3. Now, divide the resulting number by 12.5 (which has 3 significant figures) multiplied by 0.900 (which has 3 significant figures). The quotient should be rounded to the least number of significant figures present in the numbers used for multiplication or division.
4. The final step is to perform the calculation and round the result to the correct number of significant figures, which is 3 in this case.

After performing the calculation, the result is approximately 2.69 when rounded to three significant figures.