Question

( 3.7 x 105 ) ( 8 x 106 ) in Scientific notation

Answer 1

To multiply numbers in scientific notation, you multiply the coefficients and add the exponents.

For

(3.7×10^5) × (8×10^6)

Multiply the coefficients:

3.7 × 8 = 29.6

Add the exponents:

10^5 × 10^6 = 10^5+6 = 10^11

Combine these results:

(3.7 ×10^5) × (8×10^6) = 29.6×10^11

Expressed in scientific notation: 29.6×10^11

Answer 2

To multiply numbers written in scientific notation, you need to multiply the coefficients (the numbers before the power of 10) and add the exponents.

In this case, we have (3.7 x 10^5) multiplied by (8 x 10^6).

To find the product, multiply the coefficients:

3.7 x 8 = 29.6

Next, add the exponents:

10^5 x 10^6 = 10^(5+6) = 10^11

So the final answer is 29.6 x 10^11 in scientific notation.

Remember, scientific notation is a way of expressing very large or very small numbers using powers of 10. In this case, the number 29.6 is multiplied by 10 raised to the power of 11. This means that the decimal point in 29.6 needs to be moved 11 places to the right to get the final answer.

I hope this explanation helps! Let me know if you have any further questions.

Explanation: