Divide 3.3x10^4 by 5.5x10^7
Responses
6x10^-6
6x10^-3
6x10^-5
6x10^-4
6x10^-4
To divide (3.3 x 10^4) by (5.5 x 10^7), you can follow these steps:
Step 1: Divide the two numerical parts: 3.3 ÷ 5.5 = 0.6
Step 2: Divide the two exponential parts: 10^4 ÷ 10^7 = 10^(4-7) = 10^-3 (to subtract the exponents, you subtract the exponent of the divisor from the exponent of the dividend)
Step 3: Combine the numerical and exponential parts: 0.6 x 10^-3 = 6 x 10^-4 (since 0.6 is the same as 6/10 or 6.0)
Therefore, the correct answer is 6 x 10^-4.
To divide two numbers in scientific notation, divide the coefficients and subtract the exponents.
In this case, we have (3.3x10^4) / (5.5x10^7).
Dividing the coefficients gives 3.3 / 5.5 = 0.6.
Subtracting the exponents gives 10^(4-7) = 10^(-3).
Therefore, the answer is 0.6x10^(-3), which can be written as 6x10^(-4).
So, the correct option is 6x10^(-4).