Video: Expressing a Given Number in Standard Form

One picometer is approximately 3.937 × 10⁻¹¹ in. Rewrite this length in standard form.

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Video Transcript

One picometre is approximately 3.937 times 10 to the 11th [negative 11th] power inches. Rewrite this length in standard form.

We’re starting with 3.937 times 10 to the negative 11th power. The negative 11th power means that we can move the decimal point to the left 11 times. But let’s just start with moving it one place to the left. If we move the decimal place one time to the left, we’ll have 0.3937 times 10 to the negative 10th power. And I did that because now we know that we need 10 zeros in front of what we already have.

We need 10 zeros before the decimal and before 3937. Here are our 10 new zeros and the decimal point. And we bring down the other digits 3937. We’ll add one zero before the decimal point. And we’ll add the units. This is talking about inches.

Standard form of 3.937 times 10 to the negative 11th power is equal to zero, the decimal place, 10 zeros followed by 3937.

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