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The sum we got can encourage us to go even further! After all, we can get 100, 10, 1, 0.1, and 0.01 by raising the number 10 to integer powers: to the power 2, 1, 0, -1, and -2, respectively. In other words, we can also write: Suppose that you've taken up astronomy recently and would like to know the gravitational force acting between the Earth and the Moon. For the calculations, we need the masses of the two objects (denote the Earth's by M₁ and the Moon's by M₂) and the distance between them (denoted by R). We have: which is the number we had initially but with the point two places to the right. This movement by 2 is shown by the power in the standard form exponents.

We've spent quite some time together with the standard form calculator, enough to know that we can't leave the answer like this. We haven't learned how to write a number in standard form for nothing. For our non-American friends out there, the standard form is usually quite a different thing. Outside of the USA (especially in the UK), we say that a number is in its standard form if it's a single value that involves no arithmetic operations whatsoever. This notion is connected to the expanded form, and we explain it all in detail in the dedicated section. Also, note how you can switch between the two variants in the advanced section by choosing the appropriate option in the field " Have the calculator use..." Now, this is more like it! We don't know about you, but for us, short is beautiful, in mathematics at least. Now that we've seen how to write a number in standard form, it's time to convince you that it's a useful thing to do. Of course, we know that you're most probably learning all of this for the pure pleasure of grasping yet another part of theoretical mathematics, but it doesn't hurt to take a look at physics or chemistry from time to time. You know, those two minor branches of mathematics.

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Before we give some examples of writing numbers in standard form in physics or chemistry, let's recall from the above section the standard form math formula:

Convert the volume directly to cubic feet unit. You may find this method easier, as you only need to divide or multiply once:Wolfram|Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals. The Wolfram|Alpha Integral Calculator also shows plots, alternate forms and other relevant information to enhance your mathematical intuition.