- To add two scientific numbers, we add the numbers in front of the multiplication sign (coefficient) and keep the exponent the same. Let's choose 3.2 ✕ 10^4 and 1.95 ✕ 10^6.
3.2 ✕ 10^4 + 1.95 ✕ 10^6
= (3.2 + 1.95) ✕ 10^6
= 5.15 ✕ 10^6
- To subtract two scientific numbers, we subtract the numbers in front of the multiplication sign (coefficient) and keep the exponent the same. Let's choose 8.03 ✕ 10^-8 and 4.82 ✕ 10^12.
8.03 ✕ 10^-8 - 4.82 ✕ 10^12
= (8.03 - 4.82) ✕ 10^-8
= 3.21 ✕ 10^-8
- To multiply two scientific numbers, we multiply the numbers in front of the multiplication sign (coefficient) and add the exponents. Let's choose 3.2 ✕ 10^4 and 2.56 ✕ 10^-2.
(3.2 ✕ 10^4) * (2.56 ✕ 10^-2)
= (3.2 * 2.56) ✕ 10^(4 + -2)
= 8.192 ✕ 10^2
= 819.2
- To divide two scientific numbers, we divide the numbers in front of the multiplication sign (coefficient) and subtract the exponents. Let's choose 8.03 ✕ 10^-8 and 2.56 ✕ 10^-2.
(8.03 ✕ 10^-8) / (2.56 ✕ 10^-2)
= (8.03 / 2.56) ✕ 10^(-8 - -2)
= 3.13671875 ✕ 10^-6
≈ 3.14 ✕ 10^-6
- To add a scientific number and a decimal number, we keep the decimal number intact and adjust the exponent of the scientific number. Let's choose 3.2 ✕ 10^4 and add it to 32.8.
32.8 + (3.2 ✕ 10^4)
= 32.8 + 32,000
= 32032.8
- To multiply a scientific number by a decimal number, we keep the decimal number intact and add the exponents of the scientific number. Let's choose 1.95 ✕ 10^6 and multiply it by 256.7.
256.7 * (1.95 ✕ 10^6)
= 256.7 * 1.95 * 10^6
= 500.965 ✕ 10^6
= 5.00965 ✕ 10^8
Part 1: Use the following numbers.
3.2 ✕ 104 1.95 ✕ 106 8.03 ✕ 10-8 2.56 ✕ 10-2 4.82 ✕ 1012
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