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 scientific numbers from the list and divide them. Show your work.
Let's choose 1.95 x 10^6 and 4.82 x 10^12.
To divide these two numbers, we need to divide their coefficients and subtract their exponents.
The coefficient of 1.95 x 10^6 is 1.95 and the coefficient of 4.82 x 10^12 is 4.82.
Dividing 1.95 by 4.82, we get 0.404979.
The exponent of 1.95 x 10^6 is 6 and the exponent of 4.82 x 10^12 is 12.
Subtracting 6 from 12, we get 6.
Therefore, 1.95 x 10^6 divided by 4.82 x 10^12 equals 0.404979 x 10^6, which can be simplified to 4.04979 x 10^5.
Sure! Let's choose two numbers from the list: 3.2 x 10^4 and 1.95 x 10^6.
To divide these two numbers, we need to divide the values in front of the powers of 10 and subtract the exponents.
Step 1: Divide the values in front of the powers of 10:
3.2 / 1.95 = 1.641
Step 2: Subtract the exponents:
10^4 / 10^6 = 10^(4-6) = 10^-2
Step 3: Combine the results:
1.641 x 10^-2
Therefore, when you divide 3.2 x 10^4 by 1.95 x 10^6, the result is 1.641 x 10^-2.
To divide two numbers written in scientific notation, you need to divide the coefficients and subtract the exponents.
Let's choose 1.95 x 10^6 and 2.56 x 10^-2.
Step 1: Divide the coefficients:
1.95 ÷ 2.56 = 0.76171875
Step 2: Subtract the exponents:
10^6 ÷ 10^-2 = 10^(6+2) = 10^8
Therefore, the division of 1.95 x 10^6 and 2.56 x 10^-2 is:
0.76171875 x 10^8