Divide 3.3 x 10^4 by 5.5x10^7
A:6x10-^6
B: 6x10-^4
C: 6x10-^5
D: 6x10-^3
To divide numbers in scientific notation, you divide the coefficients and subtract the exponents.
3.3 x 10^4 / 5.5 x 10^7 can be rewritten as (3.3 / 5.5) x 10^(4-7).
3.3 / 5.5 = 0.6.
The exponent is 4-7 = -3.
Therefore, the answer is 0.6 x 10^(-3), which can be rewritten as 6 x 10^(-4).
So, the answer is B: 6 x 10^(-4).
To divide two numbers written in scientific notation, you usually perform the division of their coefficients (the numbers outside the powers of ten) and subtract the exponents of the powers of ten.
Let's calculate it step by step.
First, divide the coefficients: 3.3 divided by 5.5 equals 0.6.
Next, subtract the exponents of the powers of ten: (10^4) divided by (10^7) is equal to 10^(4-7).
Subtracting the exponents, we get 10^-3.
The final result is 0.6 multiplied by 10^-3, which can be written as 6 x 10^-4.
So, the answer is B: 6x10^-4.
To divide numbers written in scientific notation, you can divide the coefficients (the number parts) and subtract the exponents (the power of 10 parts).
In this case, you have:
Dividend: 3.3 x 10^4
Divisor: 5.5 x 10^7
Step 1: Divide the coefficients: 3.3 / 5.5 = 0.6
Step 2: Subtract the exponents: 10^4 / 10^7 = 10^(4-7) = 10^-3
Combining the results, you get 0.6 x 10^-3, which can be written as 6 x 10^-4.
Therefore, the answer is B: 6 x 10^-4.