Which is the best estimate for written in scientific notation?

Question

asked Jan 28, 2019 19.2k views

2 Answers

Siddharth Sharma · Answer 1 · 2019-02-01T09:36:10+0000

For this case we have the following multiplication:

(2.8*10^3)(4.1*10^6)

We can rewrite the multiplication in the following way:

(2.8*4.1)(10^3*10^6)

Then, by properties of powers we have:

In the multiplication if we have the same base, the exponents are added:

(2.8*4.1)(10^(3+6))

Finally, we multiply both numbers in the parenthesis on the left and add the exponents in the parenthesis on the right:

(11.48)(10^(9))

Rewriting the result as scientific notation correctly, we have:

(1.2)(10^(10))

Answer:

The equivalent expression is given by:

(1.2)(10^(10))

option 1