Question

You are solving a measurement problem where the numbers 4.514 x 10−3, 3.09 x 107, and 2.80 x 103 are multiplied. How many significant digits should the product have?

1
2
3
4

Answer 1

The product of 4.514 x 10-3, 3.09 x 107, and 2.80 x 103 should have 2 significant digits.

Step-by-step explanation:

The product of 4.514 x 10-3, 3.09 x 107, and 2.80 x 103 should have 2 significant digits.

To determine the number of significant digits in the product, count the fewest number of significant digits in the numbers being multiplied. In this case, the first number has four significant digits, the second number has three significant digits, and the third number has two significant digits.

Since the third number has the fewest significant digits (2), the product should be limited to two significant digits.

Answer 2

Answer: No hate to the person above but they said the answer was 2 and that's actually incorrect so the correct answer is 3 or C. I explain why its 3 and not 2 below :)

Step-by-step explanation: The answer is C because when you are multiplying or dividing you have to find the number with the fewest number of digits and those are: 3.09 and 2.80 but you may ask why is it 3 and not 2 significant digits, well that's because, if there is a zero after a decimal then that counts as a digit, but another thing is if there's zero's before a decimal but after that decimal there's a number..then those zero's/0s also count as digits (and so does the number after the decimal c: ). So therefore, the correct answer is 3 significant digits Hope this helps yall. Have a great day! Oh yeah and I also know its correct cause I got it right on my quiz :)