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 one of the scientific numbers from the list and divide it by 0.3 (or
divide 0.3 by the number you choose). Show your work.
Let's choose the number 3.2 x 10^4 from the list.
To divide 3.2 x 10^4 by 0.3, we can rewrite 0.3 as 3 x 10^-1 in scientific notation.
So, we have:
3.2 x 10^4 / (3 x 10^-1)
To divide these numbers, we can divide the coefficients (3.2 divided by 3) and subtract the exponents (10^4 divided by 10^-1).
3.2 / 3 = 1.0666666666666667
10^4 / 10^-1 = 10^(4 - (-1)) = 10^5
So, the result is:
1.0666666666666667 x 10^5
Alternatively, if we want to divide 0.3 by 3.2 x 10^4, we can rewrite 0.3 as 3 x 10^-1 in scientific notation.
So, we have:
0.3 / (3.2 x 10^4)
To divide these numbers, we can divide the coefficients (0.3 divided by 3.2) and subtract the exponents (10^-1 divided by 10^4).
0.3 / 3.2 = 0.09375
10^-1 / 10^4 = 10^(-1 - 4) = 10^-5
So, the result is:
0.09375 x 10^-5
Let's choose the number 3.2 x 10^4 from the list and divide it by 0.3.
To solve this, we can simply divide the numerical part of the scientific notation and subtract the exponents.
The division would be as follows:
(3.2 x 10^4) / 0.3
First, divide the numerical parts:
3.2 / 0.3 = 10.6667
Now, subtract the exponents:
10^4 - 0 = 10^4
Therefore, the result of dividing 3.2 x 10^4 by 0.3 is:
10.6667 x 10^4, or simply, 1.06667 x 10^5.
To solve this problem, we need to choose one of the scientific numbers from the list and perform the division. Let's choose the number 3.2 x 10^4 and divide it by 0.3. Here's how you can show your work:
Step 1: Convert 3.2 x 10^4 to a decimal number:
To convert a number in scientific notation to a decimal number, we multiply the value before the "x" by 10 raised to the power after the "^". In this case, 3.2 x 10^4 can be written as 3.2 multiplied by 10,000 (since 10^4 = 10,000). Therefore, 3.2 x 10^4 is equal to 3.2 * 10,000 = 32,000.
Step 2: Perform the division:
Now, you need to divide 32,000 by 0.3. Simply divide the decimal number by 0.3 to get the result, which is 106,666.6667.
Therefore, when you divide 3.2 x 10^4 by 0.3, the resulting decimal is 106,666.6667.