Question

The standard form of 0.0000456

Answer 1

Standard for of this no. in scientific notation will be,

These are my words, they might be incorrect, but as per scientific notation rules these are correct,


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Answer 2

$\displaystyle \sf{ 0.0000456 = 4.56 \times {10}^{ - 5} }$

Given :

The number 0.0000456

To find :

To express in standard form

Concept :

For any given number Standard form is a way to express the number .

It is generally used to express a large or a small number

The standard form of any given number is

$\sf = m\times {10}^{n}$

Where m is a number such that 1 ≤ m < 10 and n is the exponent of 10

Solution :

Solution :Step 1 of 2 :

Write down the given number

Here the given number is 0.0000456

Step 2 of 2 :

Express in standard form

$\displaystyle \sf{0.0000456 }$

$\displaystyle \sf{ = \frac{456}{10000000} }$

$\displaystyle \sf{ = \frac{456}{ {10}^{7} } }$

$\displaystyle \sf{ = 456 \times {10}^{ - 7} }$

$\displaystyle \sf{ = 4.56 \times {10}^{2} \times {10}^{ - 7} }$

$\displaystyle \sf{ = 4.56 \times {10}^{2 - 7} }$

$\displaystyle \sf{ = 4.56 \times {10}^{ - 5} }$

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