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.
Choose two of the scientific numbers from the list and add them. Show your work.
(1.95 ✕ 10^6) + (4.82 ✕ 10^12) = (1.95 + 4.82) ✕ 10^6 = 6.77 ✕ 10^6
Choose two of the scientific numbers from the list and subtract them. Show your work.
(3.2 ✕ 10^4) - (8.03 ✕ 10^-8) = (3.2 - 0.0000000803) ✕ 10^4 = 3.1999999197 ✕ 10^4
Choose two of the scientific numbers from the list and multiply them. Show your work.
(1.95 ✕ 10^6) ✕ (2.56 ✕ 10^-2) = (1.95 ✕ 2.56) ✕ (10^6 ✕ 10^-2) = 4.992 ✕ 10^4
Choose two of the scientific numbers from the list and divide them. Show your work.
(3.2 ✕ 10^4) / (8.03 ✕ 10^-8) = (3.2 / 0.0000000803) ✕ (10^4 / 10^-8) = 3.9875943309 ✕ 10^11
Choose one of the scientific numbers from the list and add it to 32.8. Show your work.
(3.2 ✕ 10^4) + 32.8 = 32000 + 32.8 = 32032.8
Choose one of the scientific numbers from the list and multiply it by 256.7. Show your work.
(8.03 ✕ 10^-8) * 256.7 = 0.0000000803 * 256.7 = 0.00002062901
Choose two of the scientific numbers from the list and add them. Show your work:
3.2 × 10^4 + 1.95 × 10^6
Step 1: Convert both numbers to the same exponent.
3.2 × 10^4 = 0.032 × 10^6
Step 2: Add the numbers.
0.032 × 10^6 + 1.95 × 10^6 = (0.032 + 1.95) × 10^6 = 1.982 × 10^6
Therefore, 3.2 × 10^4 + 1.95 × 10^6 = 1.982 × 10^6.
Choose two of the scientific numbers from the list and subtract them. Show your work:
2.56 × 10^-2 - 8.03 × 10^-8
Step 1: Convert both numbers to the same exponent.
2.56 × 10^-2 = 2.56 × 10^(-2 - (-8))
Step 2: Subtract the numbers.
2.56 × 10^(-2 - (-8)) - 8.03 × 10^-8 = 2.56 × 10^6 - 8.03 × 10^-8
Since the exponents are different, we cannot directly subtract the numbers.
Choose two of the scientific numbers from the list and multiply them. Show your work:
3.2 × 10^4 * 1.95 × 10^6
Step 1: Multiply the numbers.
3.2 * 1.95 = 6.24
Step 2: Add the exponents.
10^4 * 10^6 = 10^(4 + 6) = 10^10
Therefore, 3.2 × 10^4 * 1.95 × 10^6 = 6.24 × 10^10.
Choose two of the scientific numbers from the list and divide them. Show your work:
2.56 × 10^-2 / 4.82 × 10^12
Step 1: Divide the numbers.
2.56 / 4.82 = 0.53029
Step 2: subtract the exponents.
10^-2 / 10^12 = 10^(-2 - 12) = 10^-14
Therefore, 2.56 × 10^-2 / 4.82 × 10^12 = 0.53029 × 10^-14.
Choose one of the scientific numbers from the list and add it to 32.8. Show your work:
3.2 × 10^4 + 32.8
Step 1: Convert the scientific notation to standard form.
3.2 × 10^4 = 32000
Step 2: Add the numbers.
32000 + 32.8 = 32032.8
Therefore, 3.2 × 10^4 + 32.8 = 32032.8.
Choose one of the scientific numbers from the list and multiply it by 256.7. Show your work:
1.95 × 10^6 * 256.7
Step 1: Convert the scientific notation to standard form.
1.95 × 10^6 = 1950000
Step 2: Multiply the numbers.
1950000 * 256.7 = 500985000
Therefore, 1.95 × 10^6 * 256.7 = 500985000.
1. To add two scientific numbers, you need to make sure they are written in the same exponent form (either both with positive exponents or both with negative exponents). Let's choose 1.95 ✕ 10^6 and 4.82 ✕ 10^12:
1.95 ✕ 10^6 + 4.82 ✕ 10^12 = (1.95 + 0.00000000000482) ✕ 10^6 (add the numerical parts and keep the common exponent)
= 1.95000000000482 ✕ 10^6
So, the sum of 1.95 ✕ 10^6 and 4.82 ✕ 10^12 is 1.95000000000482 ✕ 10^6.
2. To subtract two scientific numbers, you also need to have them in the same exponent form. Let's choose 2.56 ✕ 10^-2 and 3.2 ✕ 10^4:
2.56 ✕ 10^-2 - 3.2 ✕ 10^4 = (0.0256 - 32000) ✕ 10^-2 (subtract the numerical parts and keep the common exponent)
= -31999.9744 ✕ 10^-2
So, the difference between 2.56 ✕ 10^-2 and 3.2 ✕ 10^4 is -31999.9744 ✕ 10^-2.
3. To multiply two scientific numbers, you can multiply the numerical parts and add their exponents. Let's choose 3.2 ✕ 10^4 and 8.03 ✕ 10^-8:
(3.2 ✕ 8.03) ✕ (10^4 ✕ 10^-8) (multiply the numerical parts and add the exponents)
= 25.696 ✕ 10^-4
= 2.5696 ✕ 10^-3 (simplify the exponent)
So, the product of 3.2 ✕ 10^4 and 8.03 ✕ 10^-8 is 2.5696 ✕ 10^-3.
4. To divide two scientific numbers, you can divide the numerical parts and subtract their exponents. Let's choose 2.56 ✕ 10^-2 and 1.95 ✕ 10^6:
(2.56 ÷ 1.95) ✕ (10^-2 ÷ 10^6) (divide the numerical parts and subtract the exponents)
= 1.31384615384615 ✕ 10^-8
So, the division of 2.56 ✕ 10^-2 by 1.95 ✕ 10^6 is 1.31384615384615 ✕ 10^-8.
5. To add a scientific number and a non-scientific number, simply add the numerical parts while keeping the exponent unchanged. Let's choose 8.03 ✕ 10^-8 and 32.8:
8.03 ✕ 10^-8 + 32.8 ✕ 10^0 (32.8 can be written as 32.8 ✕ 10^0 in scientific notation)
= (0.0000000803 + 32.8) ✕ 10^-8 (add the numerical parts)
= 32.8000000803 ✕ 10^-8
So, the sum of 8.03 ✕ 10^-8 and 32.8 is 32.8000000803 ✕ 10^-8.
6. To multiply a scientific number by a non-scientific number, simply multiply the numerical part while keeping the exponent unchanged. Let's choose 2.56 ✕ 10^-2 and 256.7:
2.56 ✕ 10^-2 × 256.7 ✕ 10^0 (256.7 can be written as 256.7 ✕ 10^0 in scientific notation)
= (2.56 × 256.7) ✕ (10^-2 × 10^0) (multiply the numerical parts)
= 658.352 ✕ 10^-2
= 6.58352 ✕ 10^1 (simplify the exponent)
So, the product of 2.56 ✕ 10^-2 and 256.7 is 6.58352 ✕ 10^1.
Oh i should have told you before but you are to solve the problem like 3.2x10^4= the answer then solve 2.56x10^-2= the answer the add both of the answers together to get the final answer ok you understand
My apologies for the misunderstanding. Let me solve the problem according to your instructions.
Given:
3.2 × 10^4
2.56 × 10^-2
To add them together:
3.2 × 10^4 + 2.56 × 10^-2 = 32000 + 0.0256 = 32000.0256
Therefore, 3.2 × 10^4 + 2.56 × 10^-2 = 32000.0256.
yeah you got it now do it to the rest of them ok
Sure, I apologize for the confusion earlier. Let's solve the rest of the problems using the given format:
1. To subtract two scientific numbers:
2.56 × 10^-2 - 3.2 × 10^4 = 0.0256 - 32000 = -31999.9744
Therefore, 2.56 × 10^-2 - 3.2 × 10^4 = -31999.9744.
2. To multiply two scientific numbers:
3.2 × 10^4 * 1.95 × 10^6 = 3.2 * 1.95 × 10^(4 + 6) = 6.24 × 10^10
Therefore, 3.2 × 10^4 * 1.95 × 10^6 = 6.24 × 10^10.
3. To divide two scientific numbers:
2.56 × 10^-2 / 4.82 × 10^12 = 0.0256 / 4820000000000 = 5.3112 × 10^-15
Therefore, 2.56 × 10^-2 / 4.82 × 10^12 = 5.3112 × 10^-15.
4. To add a scientific number to a non-scientific number:
1.95 × 10^6 + 32.8 = 1950000 + 32.8 = 1950032.8
Therefore, 1.95 × 10^6 + 32.8 = 1950032.8.
5. To multiply a scientific number by a non-scientific number:
8.03 × 10^-8 * 256.7 = 0.0000000803 * 256.7 = 0.00002062901
Therefore, 8.03 × 10^-8 * 256.7 = 0.00002062901.
I hope this resolves the confusion. Let me know if you have any further questions.