Question

express 456250000 in standard form​

Answer 1

$456250000$

$= 45625 \times {10}^{4}$

$= 4.5625 \times {10}^{8}$

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Answer 2

456250000 = 4.5625 × 10⁸

Given :

The number 456250000

To find :

Express 456250000 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 :

Step 1 of 2 :

Write down the given number

Here the given number is 456250000

Step 2 of 2 :

Express 456250000 in standard form

$\displaystyle \sf{456250000 }$

$\displaystyle \sf{ = 45625 \times 10000 }$

$\displaystyle \sf{ = 45625 \times {10}^{4} }$

$\displaystyle \sf{ = 4.5625 \times 10000 \times {10}^{4} }$

$\displaystyle \sf{ = 4.5625 \times {10}^{4} \times {10}^{4} }$

$\displaystyle \sf{ = 4.5625 \times {10}^{(4 + 4)} }$

$\displaystyle \sf{ = 4.5625 \times {10}^{8} }$

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