1. 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*10^4 1.95*10^6 8.03*10^-8 2.56*10^-2 4.82*10^12
a. Choose two of the scientific numbers from the list and add them. Show your
work.
Let's choose 3.2*10^4 and 1.95*10^6 from the list.
To add them, we need to first make sure they are in the same power of 10. We can do this by converting one of the numbers to match the power of the other number.
So, let's convert 3.2*10^4 to match the power of 1.95*10^6.
3.2*10^4 = 0.32*10^5
Now that they have the same power of 10, we can add the numbers:
0.32*10^5 + 1.95*10^6 = (0.32 + 1.95) * 10^6 = 2.27 * 10^6
Therefore, the sum of 3.2*10^4 and 1.95*10^6 is 2.27*10^6.
To add two numbers written in scientific notation, you need to make sure their exponents are the same.
Let's choose the numbers 3.2*10^4 and 1.95*10^6 to add.
First, we need to match their exponents. We can do this by moving the decimal point in 3.2*10^4 four places to the right, resulting in 32,000. This means the number becomes 3.2*10^4 = 32,000*10^0.
Now, both numbers have the same exponent 10^0, and we can add them together:
3.2*10^4 + 1.95*10^6
= 32,000*10^0 + 1,950,000*10^0
= (32,000 + 1,950,000) * 10^0
= 1,982,000 * 10^0
Since 10^0 = 1, the result is:
1,982,000
To add two numbers written in scientific notation, we need to make sure their exponents are the same. Here are the steps to add two numbers in scientific notation:
1. Identify the numbers to be added: 3.2x10^4 and 1.95x10^6.
2. Check the exponents: The first number has an exponent of 4, while the second number has an exponent of 6. We need to make the exponents match for them to be added.
3. Adjust the first number: Since we need to increase the exponent to match the second number, we can multiply the first number by 10^2 to make the exponent 6. This gives us 3.2x10^4 x 10^2 = 3.2x10^6.
4. Now that the exponents match, we can directly add the two numbers: 3.2x10^6 + 1.95x10^6 = 5.15x10^6.
So the result of adding 3.2x10^4 and 1.95x10^6 is 5.15x10^6.