Question

express 0.000123 in scientific notation​

Answer 1

Answer:

    123      

 1000000

Explanation:

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Answer 2

The given number 0.000123, in scientific notation, will be $1.23 \times 10^{-4} .$

Given,

The number:

0.000123.

To find,

Express the given number in scientific notation.

Solution,

Scientific notation is a way or method of representing very small or very large numbers in a simpler form.

Scientific notation, in general form, is represented as

$a \times 10^{b}$

where,

$1\leq a < 10$, and

b can be a non-zero integer.

For example,

5000000 in scientific notation will be $5 \times 10^{6}$,

0.0004 in scientific notation will be $4 \times 10^{-4}.$

It must be noted that,

• if the decimal point moves towards the left, the power of 10 will be positive, and,

• if the decimal point moves towards the right, the power of 10 will be negative.

Here, the given number is 0.000123.

This can be expressed in scientific notation as

$0.000123=1.23 \times 10^{-4} .$

Observe carefully the number of times the decimal moves. The same number will be the exponent or power of 10 in the multiplication.

Since we've moved the decimal 4 times towards the right, the power of 10 will be negative that is, $-4$.

Therefore, the given number 0.000123, in scientific notation will be $1.23 \times 10^{-4} .$

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