2.5 x 10^2=__x10^3
what is the answer and explain how you kno its correct for a better understanding for me
2.5 x 100 (10x10)= 250x1,000= 250000
2.5 x 10^2=__x10^3
2.5 x 10^2= 250
.25 x 10^3=250
The exponent tells us how many places to move the decimal. If the exponent is positive, move it to the right. If the exponent is negative, move it to the left.
To find the answer, we need to perform the multiplication and express the result in scientific notation.
First, let's multiply the numbers: 2.5 x 10^2.
Take the numerical part, 2.5, and multiply it by the numerical part of 10^2, which is 100. So, 2.5 x 100 equals 250.
Next, multiply the powers of 10. In this case, we add the exponents since both numbers are in scientific notation. 10^2 x 10^3 = 10^(2+3) = 10^5.
Now, we have 250 x 10^5. To express this result in scientific notation, we need to move the decimal point one place to the left, and the exponent increases by 1. So, the final answer is 2.5 x 10^6.
We know this answer is correct because when we multiply 2.5 by 100, we get 250, and when we multiply 10^2 by 10^3, we get 10^5. Combining these two results, we get 250 x 10^5, which is equal to 2.5 x 10^6.