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 x 10^4 and 4.82 x 10^12.
To add these numbers, we need to make sure they have the same exponent. In this case, we can convert 3.2 x 10^4 to scientific notation with an exponent of 12:
3.2 x 10^4 = 3.2 x 10^4 x 10^8 = (3.2 x 10^4) x (10^8) = 3.2 x 10^(4+8) = 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.
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 subtract them. Show your work.
Let's choose the numbers 1.95 x 10^6 and 4.82 x 10^12.
To subtract these numbers, we need to make sure they have the same exponent. In this case, we can convert 1.95 x 10^6 to scientific notation with an exponent of 12:
1.95 x 10^6 = 1.95 x 10^6 x 10^6 = (1.95 x 10^6) x (10^6) = 1.95 x 10^(6+6) = 1.95 x 10^12
Now we can subtract the numbers:
4.82 x 10^12 - 1.95 x 10^12 = (4.82 - 1.95) x 10^12 = 2.87 x 10^12
Therefore, the difference of 1.95 x 10^6 and 4.82 x 10^12 is 2.87 x 10^12.
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 multiply them. Show your work.
Let's choose the numbers 8.03 x 10^-8 and 4.82 x 10^12.
To multiply these numbers, we can multiply the coefficients and add the exponents:
8.03 x 10^-8 * 4.82 x 10^12 = (8.03 * 4.82) x (10^-8 * 10^12) = 38.6966 x 10^(12-8) = 38.6966 x 10^4
To write the answer in scientific notation, we need to move the decimal point in 38.6966 four places to the right, resulting in:
3.86966 x 10^5
Therefore, the product of 8.03 x 10^-8 and 4.82 x 10^12 is 3.86966 x 10^5.
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 divide them. Show your work.
Let's choose the numbers 2.56 x 10^-2 and 4.82 x 10^12.
To divide these numbers, we can divide the coefficients and subtract the exponents:
(2.56 x 10^-2) / (4.82 x 10^12) = (2.56 / 4.82) x (10^-2 / 10^12) = 0.53112 x 10^(-2-12) = 0.53112 x 10^-14
To write the answer in scientific notation, we need to move the decimal point in 0.53112 fourteen places to the left, resulting in:
5.3112 x 10^-15
Therefore, the division of 2.56 x 10^-2 by 4.82 x 10^12 is 5.3112 x 10^-15.
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 one of the scientific numbers from the list and add it to 32.8. Show your work.
Let's choose the number 3.2 x 10^4.
To add this number to 32.8, we need to convert 32.8 to scientific notation with the same exponent as 3.2 x 10^4:
32.8 = 3.28 x 10^1
Now we can add the numbers:
3.2 x 10^4 + 3.28 x 10^1 = (3.2 + 3.28) x 10^4 = 6.48 x 10^4
Therefore, the sum of 3.2 x 10^4 and 32.8 is 6.48 x 10^4.
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 one of the scientific numbers from the list and multiply it by 256.7. Show your work.
Let's choose the number 8.03 x 10^-8.
To multiply this number by 256.7, we can multiply the coefficients and add the exponents:
(8.03 x 10^-8) * 256.7 = (8.03 * 256.7) x (10^-8)
Calculating 8.03 * 256.7 gives:
2059.501
Now we need to multiply the exponent of 10:
10^-8
Therefore, the product of (8.03 x 10^-8) and 256.7 is:
2059.501 x 10^-8
To write the answer in scientific notation, we need to move the decimal point in 2059.501 eight places to the left, resulting in:
2.059501 x 10^-5
Therefore, the product of 8.03 x 10^-8 and 256.7 is 2.059501 x 10^-5.
Mercury: 57,900,000 Venus: 108,200,000 Earth: 149,600,000 Mars: 227,900,000 Jupiter: 778,600,000 Saturn: 1,433,500,000 Uranus: 2,872,500,000 Neptune: 4,495,100,000
Choose two of the distances of planets from the sun and add them. Show your work.
Choose two of the distances of planets from the sun and subtract them. Show your work.
Choose two of the distances of planets from the sun and multiply them. Show your work.
Choose two of the distances of planets from the sun and divide them. Show your work.
Subtract the shortest distance from the longest distance. Show your work.
Divide the distance from Saturn by the distance from Earth.
Let's choose the distances from the sun to Earth and Mars for the following examples:
Earth: 149,600,000
Mars: 227,900,000
1. Adding the distances:
149,600,000 + 227,900,000 = 377,500,000
2. Subtracting the distances:
227,900,000 - 149,600,000 = 78,300,000
3. Multiplying the distances:
149,600,000 * 227,900,000 = 34,104,400,000,000,000
4. Dividing the distances:
227,900,000 / 149,600,000 = 1.52
5. Subtracting the shortest distance from the longest distance:
Longest distance: 2,872,500,000 (Uranus)
Shortest distance: 57,900,000 (Mercury)
2,872,500,000 - 57,900,000 = 2,814,600,000
6. Dividing the distance from Saturn by the distance from Earth:
Distance from Saturn: 1,433,500,000
Distance from Earth: 149,600,000
1,433,500,000 / 149,600,000 = 9.57
Ok you messed up but its ok i saw it so on the one that says Subtract the shortest distance from the longest distance you need to do 4,495,100,000-57,900,000 so please do that
Apologies for the mistake. Let's subtract the shortest distance from the longest distance:
Longest distance: 4,495,100,000 (Neptune)
Shortest distance: 57,900,000 (Mercury)
4,495,100,000 - 57,900,000 = 4,437,200,000
Therefore, when we subtract the shortest distance from the longest distance, the result is 4,437,200,000.
Ok thx so much now for the final question: Do you think adding, subtracting, multiplying, or dividing numbers written in scientific notation is easiest? Why?
In my opinion, adding and subtracting numbers written in scientific notation is usually the easiest. When adding or subtracting numbers in scientific notation, you only need to align the exponents and perform the addition or subtraction on the coefficients. The rules for adding or subtracting numbers in scientific notation are straightforward and can be easily applied.
On the other hand, multiplying and dividing numbers in scientific notation require additional steps. When multiplying, you need to multiply the coefficients and add the exponents. When dividing, you need to divide the coefficients and subtract the exponents. These operations involve more calculations and may require additional attention to ensure the correct placement of the decimal point.
Overall, adding and subtracting numbers in scientific notation tend to be simpler and more straightforward compared to multiplying and dividing.