Part 1:
Choose two of the scientific numbers from the list and add them. Show your work.
3.2 ✕ 10^4 + 1.95 ✕ 10^6
= (3.2 + 1.95) ✕ 10^4 (Since they have the same power of 10)
= 5.15 ✕ 10^4
Choose two of the scientific numbers from the list and subtract them. Show your work.
4.82 ✕ 10^12 - 2.56 ✕ 10^-2
= (4.82 ✕ 10^12) - (2.56 ✕ 10^-2)
= 4.82 ✕ 10^12 - 0.0256 ✕ 10^12 (Converting 2.56 ✕ 10^-2 to scientific notation by multiplying by 10^12)
= 4.7944 ✕ 10^12
Choose two of the scientific numbers from the list and multiply them. Show your work.
3.2 ✕ 10^4 * 8.03 ✕ 10^-8
= (3.2 * 8.03) ✕ (10^4 * 10^-8) (Using the properties of exponents)
= (25.696) ✕ (10^(-4+(-8))) (Adding the exponents)
= 25.696 ✕ 10^-12
Choose two of the scientific numbers from the list and divide them. Show your work.
2.56 ✕ 10^-2 / 8.03 ✕ 10^-8
= (2.56 / 8.03) ✕ (10^(-2-(-8))) (Using the properties of exponents)
= (0.319102) ✕ (10^(-2+8)) (Subtracting the exponents)
= 0.319102 ✕ 10^6
Choose one of the scientific numbers from the list and add it to 32.8. Show your work.
3.2 ✕ 10^4 + 32.8
= 3.2 ✕ 10^4 + 32.8 ✕ 10^0 (Converting 32.8 to scientific notation by multiplying by 10^0)
= 3.2 ✕ 10^4 + 32.8 ✕ 1 (Multiplying by 1 does not change the value)
= 3.2 ✕ 10^4 + 32.8
(The answer is not in scientific notation since 32.8 is a decimal number and does not require the use of powers of 10)
Choose one of the scientific numbers from the list and multiply it by 256.7. Show your work.
8.03 ✕ 10^-8 * 256.7
= 8.03 ✕ 256.7 ✕ 10^-8 (Multiplying the decimal part)
= 2065.501 ✕ 10^-8
= 2.065501 ✕ 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 add them. Show your work.
Choose two of the scientific numbers from the list and subtract them. Show your work.
Choose two of the scientific numbers from the list and multiply them. Show your work.
Choose two of the scientific numbers from the list and divide them. Show your work.
Choose one of the scientific numbers from the list and add it to 32.8. Show your work.
Choose one of the scientific numbers from the list and multiply it by 256.7. Show your work.
1 answer
1 answer