How many significant figures should the product 62.25 * 37.4 have ?

a-2
b-3
c-4
d-7

my answer is c or 4

Just took it...answer is b-3

nope. You are limited to the LEAST precise factor, which is 37.4, three sig figures.

To determine the number of significant figures in the product 62.25 * 37.4, follow these steps:

1. Count the number of significant figures in each of the numbers being multiplied.
- 62.25 has 4 significant figures.
- 37.4 has 3 significant figures.

2. Multiply the two numbers.
- 62.25 * 37.4 = 2324.05

3. Determine the number of significant figures in the result.
- The result has five digits, but the last digit, 5, is uncertain as it would round if we were to express the answer with different significant figures.
- As a general rule, when multiplying or dividing, the final result should have the same number of significant figures as the measurement with the fewest significant figures.
- Since 37.4 has three significant figures and is the measurement with the fewest, the product should also have three significant figures.

Therefore, the correct answer is b-3.

To determine the number of significant figures in a product, you need to consider the original numbers involved in the multiplication.

In this case, you have two numbers: 62.25 and 37.4.

To find the number of significant figures for the product, multiply the two numbers together: 62.25 * 37.4 = 2327.55.

The product, 2327.55, has five digits. However, we need to identify the significant figures.

Significant figures are the non-zero digits and any zeros between non-zero digits. Zeros at the beginning or the end of a number are generally not considered significant unless they are specified.

In the case of the product, 2327.55, there are four significant figures (2, 3, 2, and 7). The zeros after the decimal point do not count as significant figures. Therefore, the correct answer would be c- 4 significant figures.