In this problem, you will practice adding, subtracting, multiplying, and dividing numbers written in scientific notation. For each part, 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 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 subtract it from 1,845.19 (or subtract 1,845.19 from the number you choose). Show your work.
Choose one of the scientific numbers from the list and multiply it by 256.7. Show your work.
Choose one of the scientific numbers from the list and divide it by 0.3 (or divide 0.3 by the number you choose). Show your work.
Add 1.95×10^6 and 4.82×10^12:
1.95×10^6 + 4.82×10^12 = 1.95×10^6 + 4820×10^6 = 4821.95×10^6 = 4.82195×10^9
Subtract 8.03×10^-8 from 2.56×10^-2:
2.56×10^-2 - 8.03×10^-8 = 0.0256 - 0.0000000803 = 0.0255999197
Multiply 3.2×10^4 and 1.95×10^6:
3.2×10^4 * 1.95×10^6 = 3.2 * 1.95 × 10^(4+6) = 6.24×10^10
Divide 4.82×10^12 by 2.56×10^-2:
4.82×10^12 / 2.56×10^-2 = 482×10^12 / 2.56 = 188.28125×10^12 = 1.8828125×10^14
Add 1.95×10^6 to 32.8:
1.95×10^6 + 32.8 = 1.95×10^6 + 0.0000328×10^6 = 1.9500328×10^6
Subtract 1.84519 from 4.82×10^-2:
4.82×10^-2 - 1.84519 = 0.0482 - 1.84519 = -1.79699
Multiply 8.03×10^-8 by 256.7:
8.03×10^-8 * 256.7 = 0.0000000803 * 256.7 = 0.00002060161
Divide 2.56×10^-2 by 0.3:
2.56×10^-2 / 0.3 = 0.0256 / 0.3 = 0.08533...