1. In this problem, you will practice adding, subtracting, multiplying, and dividing
numbers written in scientific notation. For each part, use the following numbers.
a. Choose two of the scientific numbers from the list and add them. Show your
work.
Unfortunately, the list of numbers to choose from is not provided. Please provide the list of numbers so I can properly assist you.
To add two numbers written in scientific notation, you need to make sure that the exponents are the same. If the exponents are different, you'll need to adjust one or both of the numbers to make the exponents equal.
Let's say we have the following two numbers:
Number 1: 6.75 x 10^4
Number 2: 3.2 x 10^3
To add these two numbers, we first need to adjust the exponents to be the same. In this case, we can adjust Number 2 to have an exponent of 4 by multiplying both the decimal and the exponent by 10:
Number 1: 6.75 x 10^4
Number 2 (adjusted): 0.32 x 10^4
Now that the exponents are the same, we can simply add the decimals:
6.75 x 10^4 + 0.32 x 10^4 = (6.75 + 0.32) x 10^4 = 7.07 x 10^4
So the sum of these two numbers is 7.07 x 10^4.
To add two numbers written in scientific notation, follow these steps:
1. Identify the exponents of the two numbers.
2. If the exponents are different, adjust one or both numbers so that they have the same exponent. To do this, either multiply or divide the base number by a power of 10.
3. Once the exponents are the same, add the base numbers together.
4. Keep the same exponent as the original numbers.
Let's say our two scientific notation numbers are:
Number 1: 2.5 x 10^4
Number 2: 3.7 x 10^3
To add these numbers, we need to adjust the exponents to be the same:
Number 1: 2.5 x 10^4
Number 2: 0.37 x 10^4 (which is equivalent to 3.7 x 10^3, just adjusted to match the exponent of the first number)
Now that the exponents are the same, we can add the base numbers:
2.5 x 10^4 + 0.37 x 10^4 = 2.87 x 10^4
So the sum of the two scientific notation numbers is 2.87 x 10^4.