2.56x10-^2 x 1.95x10^6. show your work

4.82x10^12÷8.03x10-^8. show your work
1.95-1,84.19. show your work
3.2x10^4 x 256.7. show your work
2.56x10-^2 ÷ 0.3. show your work

1 answer

To solve these equations, we will use the rules of scientific notation.

1) 2.56x10^-2 x 1.95x10^6:
Multiply the decimal parts: 2.56 x 1.95 = 4.992
Add the exponents: -2 + 6 = 4
So the answer is 4.992x10^4.

2) 4.82x10^12 ÷ 8.03x10^-8:
Divide the decimal parts: 4.82 ÷ 8.03 = 0.599503725
Subtract the exponents: 12 - (-8) = 20
So the answer is 0.599503725x10^20.

3) 1.95-1,84.19:
This expression seems to be incorrect. If you meant to subtract 1.95 from 84.19, the result is 84.19 - 1.95 = 82.24.

4) 3.2x10^4 x 256.7:
Multiply the decimal parts: 3.2 x 256.7 = 819.04
Add the exponents: 4 + 0 = 4
So the answer is 819.04x10^4.

5) 2.56x10^-2 ÷ 0.3:
Divide the decimal parts: 2.56 ÷ 0.3 = 8.53333...
Subtract the exponents: -2 - 0 = -2
So the answer is 8.53333...x10^-2.
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