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Convert the volume directly to cubic feet unit. You may find this method easier, as you only need to divide or multiply once:

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.Non-Americans often refer to the standard form in math in connection with a very different topic. To be precise, they understand it as the basic way of writing numbers (with decimals) using the decimal base (as opposed to, say, the binary base), which we can decompose into terms representing the consecutive digits. 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. For instance, take the number 154.37. It is in its standard form in the decimal base. That means 1 is the hundreds digit, 5 is that of tens, 4 of ones, 3 of tenths, and 7 of hundredths. Having the number written the way it is, makes us see it as a whole, and we don't really think of the individual digits, do we? 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.

Don't ask us how they found the mass of the Earth, as there isn't any scale big enough to weigh the entire planet. As for the circumference, talk to Eratosthenes. It might seem artificial to write a sum of the products, like 1×100 or 4×1, but that's just what the expanded form is.

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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: 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. After converting the units, you'll have all of the dimensions in feet, so a simple multiplication will give us the result in cubic feet.

In the first section, we mentioned that the standard form converter is most useful when we're dealing with very large or very small numbers. So, why don't we take one object from each side of the spectrum: a planet and an atom. Use Math Input above or enter your integral calculator queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for an integral using plain English. We said that the number b should be between 1 and 10. This means that, for example, 1.36 × 10⁷ or 9.81 × 10⁻²³ are in standard form, but 13.1 × 10¹² isn't because 13.1 is bigger than 10. We could, however, convert it to standard form by saying that: Both types of integrals are tied together by the fundamental theorem of calculus. This states that if is continuous on and is its continuous indefinite integral, then . This means . Sometimes an approximation to a definite integral is desired. A common way to do so is to place thin rectangles under the curve and add the signed areas together. Wolfram|Alpha can solve a broad range of integrals How Wolfram|Alpha calculates integralsF = 0.00000000006674 N·m²/kg² × 5,972,000,000,000,000,000,000,000 kg × 73,480,000,000,000,000,000,000 kg / (384,400,000 m)². 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: As you can see, we had five digits, so we got five terms. What is more, consecutive digits appear in consecutive summands; we simply add a few zeros in the correct places to make it all jump to the right spot when we add it all up. To return to your original question though: imagine you have a number line and want to double a number, x. You get an imaginary rope, cut it to length x then lay it out from 0 to x then from x to 2x. This is easily generalized to multiplying by any natural number, a.