In this problem, you will practice adding, 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
a. Choose two of the scientific numbers from the list and add them. Show your
work.
Let's choose 3.2 x 10^4 and 1.95 x 10^6 to add together.
To add these numbers, we must first make sure that the powers of 10 are equal. In this case, we can convert 3.2 x 10^4 to 3.2 x 10^6.
Now we can add the numbers:
3.2 x 10^6 + 1.95 x 10^6
= (3.2 + 1.95) x 10^6
= 5.15 x 10^6
So, the sum of 3.2 x 10^4 and 1.95 x 10^6 is 5.15 x 10^6.
To add two numbers written in scientific notation, you need to make sure that they have the same exponent. Here's an example:
Let's choose 3.2 x 10^4 and 4.82 x 10^12.
We need to adjust one of the numbers so that they have the same exponent. In this case, we can adjust 3.2 x 10^4 to 3.2 x 10^12.
Now, we can add the numbers:
3.2 x 10^12 + 4.82 x 10^12 = (3.2 + 4.82) x 10^12 = 8.02 x 10^12.
Therefore, the sum of 3.2 x 10^4 and 4.82 x 10^12 is 8.02 x 10^12.
To add two numbers in scientific notation, you need to make sure that their exponents are the same. Once the exponents are the same, you can simply add the coefficients (the numbers before the "x 10^") to find the sum. Here's how to add two numbers from the given list:
Let's choose 3.2 x 10^4 and 1.95 x 10^6.
First, let's convert these numbers to standard form:
3.2 x 10^4 = 32,000
1.95 x 10^6 = 1,950,000
Now that we have the numbers in standard form, we can add them:
32,000 + 1,950,000 = 1,982,000
Therefore, the sum of 3.2 x 10^4 and 1.95 x 10^6 is 1,982,000.