Multiply my final answer should be written in scientific notation

Question

Multiply and my final answer should be written in scientific notation (2.46x10^4) (5.5x10^5

Answer 1

2.46*5.5 = 13.53

 

Both exponents have a base of 10 so we can add the exponents: 4+5=9 

 

Move the decimal in 13.53 one space to the left: 1.353. Add this 1 extra move to the exponent count: (9+1)

 

1.353 * 10¹⁰ 

Answer 2

Multiply the two decimal parts to get a new decimal part, then add the powers of 10, with correct signs.

 

(2.46 x 10⁴)(5.5 x 10⁵) = (2.46)(5.5) x 10⁴⁺⁵ = 13.53 x 10⁹

 

In scientific notation, you usually have only one digit to the left of the decimal.  Since 13.53 x 10⁹ has two digits to the left, you move the decimal one place to the left, and increase the power of 10 by 1:

 

13.53 x 10⁹ = 1.353 x 10⁹⁺¹ = 1.353 x 10¹⁰