In this problem, you will practice added, subtracting, multiplying, and dividing numbers written in scientific notation. For each part, use the following numbers.
3.2 x 10^4, 1.95 x 10^6, 8.03 x 10^-8, 2.56 x 10^-2, 4.82 x 10^12
Choose two of the scientific numbers from the list and divide them. Show your
work.
Let's choose the numbers 3.2 x 10^4 and 1.95 x 10^6 to divide.
To divide two numbers written in scientific notation, we divide the coefficients and subtract the exponents.
So, the calculation would be:
(3.2 x 10^4) / (1.95 x 10^6)
= (3.2 / 1.95) x (10^4 / 10^6)
= 1.641 x 10^(-2)
To divide two numbers written in scientific notation, you can divide their coefficients and subtract their exponents. Let's choose 1.95 x 10^6 divided by 8.03 x 10^-8 and perform the calculation step-by-step:
Step 1: Divide the coefficients:
1.95 / 8.03 ≈ 0.242646
Step 2: Subtract the exponents:
10^6 - (-10^8) = 10^6 + 10^8 = 10^(6+8) = 10^14
So, 1.95 x 10^6 divided by 8.03 x 10^-8 is approximately 0.242646 x 10^14, or in scientific notation, 2.42646 x 10^13.
To divide two numbers written in scientific notation, you need to follow these steps:
Step 1: Identify the numbers you want to divide.
In this case, you need to choose two numbers from the list you provided: 3.2 x 10^4, 1.95 x 10^6, 8.03 x 10^-8, 2.56 x 10^-2, and 4.82 x 10^12.
Let's choose 3.2 x 10^4 and 1.95 x 10^6 to divide.
Step 2: Divide the base numbers.
Divide 3.2 by 1.95: 3.2 / 1.95 = 1.64102564103
Step 3: Divide the powers of 10.
Subtract the exponent of the divisor from the exponent of the dividend: (10^4) / (10^6) = 10^(4-6) = 10^-2
Step 4: Combine the results.
Multiply the result from step 2 by the result from step 3: 1.64102564103 x 10^-2 = 0.0164102564103 x 10^0
Step 5: Simplify the result.
Since 10^0 is equal to 1, we can simplify the result to: 0.0164102564103 x 1 = 0.0164102564103
Therefore, when dividing 3.2 x 10^4 by 1.95 x 10^6, the result is approximately 0.0164102564103.