Question

What is the correct answer with the appropriate significant digits for the expression 3.20×1039.870×1029.870×1023.20×103​?

a. 3.24

b. 3240

c. 3.2

d. 324

Answer 1

The correct answer with the appropriate significant digits for the expression 3.20×10^39.870×10^29.870×10^23.20×10^3 is 1.003 × 10^96.94.

Step-by-step explanation:

When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents. Let's calculate the expression 3.20×10^39.870×10^29.870×10^23.20×10^3:

First, multiply the coefficients:
3.20 x 39.870 x 29.870 x 3.20 = 10,034.10208.

Next, add the exponents:
10^39.870 + 10^29.870 + 10^23.20 + 10^3 = 10^96.94.

So, the correct answer with the appropriate significant digits for the expression is 1.003 × 10^96.94.