(2.7 x 10^2) x (4.23 x 10^2)
PLEASE YOU SIGNIFICANT DIGITS!!!
thx
well, when muliplying, the answer is limited to the number of significant digits of the least precise number: In this case, the 2.7 dominates as the least precise.
you do 2.7 X 4.23=Y
10^2 X 10^2=10^4
and you get...
Y X 10^4
Does the answer have to be in scientific notation?
If so, how would you figure it out?
Thanks Jenn.
Welcome
There is also a way to do this in a graphic calculator...
first put your calculator into degree and scientific mode
Next type each problem in like this:
(2.7,2) x (4.23,2) which will give you your answer. (*when u put the comma in, the calculator will show an E instead)
To multiply numbers written in scientific notation, you can follow these steps:
Step 1: Multiply the coefficients (the numbers that are not powers of 10) together. In this case, the coefficients are 2.7 and 4.23. Multiply these numbers: 2.7 x 4.23 = 11.451.
Step 2: Multiply the powers of 10 together. In this case, the powers of 10 are 10^2 and 10^2. When multiplying numbers with the same base, you can simply add the exponents: 10^2 x 10^2 = 10^(2+2) = 10^4.
Step 3: Combine the coefficient from step 1 and the power of 10 from step 2. The result of this multiplication will be in scientific notation: 11.451 x 10^4.
Finally, please note that when expressing the answer with the correct number of significant digits, you need to consider the numbers being multiplied, in this case, 2.7 and 4.23. Take the number with the fewest significant figures, which is 2.7 (two significant figures), and round your answer to the same number of significant figures. Therefore, the final answer, considering significant digits, would be 1.1 x 10^5.