How do you figure out standard form for an equation?

Answer 1

Standard form is actually very easy once you get the hang of it.

Example: 8.19x10^3 = 8,190

This is done by taking the decimal and moving it three places to the right and filling in the one extra space with a zero. You know how many spaces to move it over by the exponent 3 above the 10. If the exponent is a negative you move the decimal to the right, but if it is positive you move the decimal to the right. Here it is the other way:

Example: 8,190 (in scientific notation) = 8.19x10^3

This is done by taking the decimal, which is all the way to the right after the zero because it is a whole number. The decimal is moved until there is one number in front of it. The number in front must be 1, 2, 3, 4, 5, 6, 7, 8, or 9 nothing else. Then count the amount of spaced moved over. Since this is from standard to scientific the negative rule switches so moving to the left is positive and right is negative. Get rid of the extra zero and write out the new decimal which is now 8.19. But your not done yet. Put a multiplication sign, the number ten, and the exponent over the ten. The exponent equals the amount of spaces you moved the decimal.

That is scientific to standard and standard to scientific.