Questions
Scientific Notation Portfolio
Use this worksheet to record your answers to the Scientific Notation portfolio activities. There are 3 parts, so make sure you scroll down to see all of them. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. By showing your work, we are asking you to write the equation and then solve and write the answer.
Part 1: Use the following numbers.
3.2 ✕ 10^4 1.95 ✕ 10^6 8.03 ✕ 10^-8 2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose two of the scientific numbers from the list and add them. Show your work.
Let's choose the numbers 3.2 * 10^4 and 1.95 * 10^6.
To add these two numbers, we need to make sure they have the same exponent. We can do this by adjusting one of the numbers.
3.2 * 10^4 + 1.95 * 10^6
First, let's adjust the first number to have the same exponent as the second number.
3.2 * 10^4 = 3.2 * 10^4 * 10^2 = 3.2 * 10^6
Now we have:
3.2 * 10^6 + 1.95 * 10^6
Since both numbers now have the same exponent, we can simply add their coefficients:
3.2 + 1.95 = 5.15
Therefore, the sum of 3.2 * 10^4 and 1.95 * 10^6 is 5.15 * 10^6.
u can only pick two
My apologies for the misunderstanding. Let's choose the numbers 3.2 * 10^4 and 8.03 * 10^-8.
To add these two numbers, we need to make sure they have the same exponent. We can do this by adjusting one of the numbers.
3.2 * 10^4 + 8.03 * 10^-8
Let's adjust the second number to have the same exponent as the first number.
8.03 * 10^-8 = 8.03 * 10^-8 * 10^12 = 8.03 * 10^4
Now we have:
3.2 * 10^4 + 8.03 * 10^4
Since both numbers now have the same exponent, we can simply add their coefficients:
3.2 + 8.03 = 11.23
Therefore, the sum of 3.2 * 10^4 and 8.03 * 10^-8 is 11.23 * 10^4.
To add two numbers in scientific notation, you need to make sure that the exponents are the same. Here's how you can do it:
Step 1: Choose two scientific numbers from the list. Let's say we choose 3.2 × 10^4 and 8.03 × 10^-8.
Step 2: Determine the common exponent. In this case, we need to convert one of the numbers so that both exponents are the same. Let's convert 8.03 × 10^-8 to the same exponent as 3.2 × 10^4.
8.03 × 10^-8 = 8.03 × 10^4 × 10^-12
Step 3: Add the numbers using the same exponent.
3.2 × 10^4 + 8.03 × 10^-8 = 3.2 × 10^4 + 8.03 × 10^4 × 10^-12
Step 4: Simplify the equation.
3.2 × 10^4 + 8.03 × 10^4 × 10^-12
= 3.2 × 10^4 + 8.03 × 10^-8
Step 5: Perform the addition.
3.2 × 10^4 + 8.03 × 10^-8 = 3.2 × 10^4 + 0.0000000803
Step 6: Add the numbers without the scientific notation.
3.2 × 10^4 + 0.0000000803 = 32000 + 0.0000000803
Step 7: Finally, evaluate the sum.
32000 + 0.0000000803 = 32000.0000000803
So, the sum of 3.2 × 10^4 and 8.03 × 10^-8 is approximately 32000.0000000803.
To add two numbers in scientific notation, you need to make sure that the exponents are the same. If the exponents are not the same, you need to adjust one or both of the numbers so they have the same exponent.
Let's choose two numbers from the list: 1.95 ✕ 10^6 and 2.56 ✕ 10^-2.
First, we need to adjust the second number so that it has the same exponent as the first number. Since the exponent of the first number is 6 and the exponent of the second number is -2, we need to move the decimal point in the second number 8 places to the right (from -2 to 6). This means we will multiply the second number by 10^8.
2.56 ✕ 10^-2 × 10^8 = 2.56 ✕ 10^6
Now that both numbers have the same exponent of 6, we can add them together:
1.95 ✕ 10^6 + 2.56 ✕ 10^6 = 4.51 ✕ 10^6
So, the sum of 1.95 ✕ 10^6 and 2.56 ✕ 10^-2 is 4.51 ✕ 10^6.