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If 1 micron is equal to $11000000 m$ , then expression of 1 micron in standard form is ____.

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Detailed Solution

If 1 micron is equal to

11000000 m

, then expression of 1 micron in standard form is

1 × 10 − 6 m

.
Given that,
1 micron =

11000000 m

We know standard form is a way of representing a number as a product of decimal numbers and powers of 10.
The term 1000000 contain 6 zeros after 1 and can be expressed as

106

∴ 11000000 = 1 (10) 6

Now, using the relation

1 a m = a − m

, we get,

1 (10) 6 = 1 × 10 − 6

Therefore, the standard expression for 1 micron is

1 × 10 − 6 m

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