Is this right (3 x 10^4)(2 x 10^2) = 6.0 x 10^6, can someone please explain : ) I have no clue...
Yes, it is correct.
multiply the numbers, add the exponents.
(-4x – 24)/(5x – 30)
Sure, I can explain it to you!
When we multiply numbers written in scientific notation, we need to multiply both the coefficients (numbers) and the exponents separately.
Let's break it down step by step:
(3 x 10^4) means 3 times 10 raised to the power of 4, which gives us 3 multiplied by 10,000 (because 10^4 = 10,000). So, the value of (3 x 10^4) is 30,000.
Similarly, (2 x 10^2) means 2 times 10 raised to the power of 2, which gives us 2 multiplied by 100 (because 10^2 = 100). So, the value of (2 x 10^2) is 200.
Now, to find the product of (3 x 10^4)(2 x 10^2), we multiply the coefficients (3 and 2) to get 6. Then, we add the exponents (4 and 2) together to get 6.
Therefore, the simplified answer is 6.0 x 10^6, where 6.0 is the coefficient (the result of multiplying 3 and 2) and 10^6 is the exponent (the result of adding 4 and 2). This can also be written as 6,000,000.
So, yes, (3 x 10^4)(2 x 10^2) does equal 6.0 x 10^6, or 6,000,000.
I hope that helps! Let me know if you have any further questions.