Question

if the speed of light is 1080000000 km/h then express it in the standard form​

Answer 1

Answer:

The answer of this question is 1.08 ×10^9

Answer 2

1080000000 km/h = 1.08 × 10⁹ km/h

Given :

The speed of light is 1080000000 km/h

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 :

Step 1 of 2 :

Write down speed of light

Here it is given that speed of light is 1080000000 km/h

Step 2 of 2 :

Express in standard form

$\displaystyle \sf{ 1080000000 }$

$\displaystyle \sf{ = 108 \times 10000000 }$

$\displaystyle \sf{ = 108 \times {10}^{7} }$

$\displaystyle \sf{ = 1.08 \times {10}^{2} \times {10}^{7} }$

$\displaystyle \sf{ = 1.08 \times {10}^{2 + 7} }$

$\displaystyle \sf{ = 1.08 \times {10}^{9} }$

Hence speed of light in standard form = 1.08 × 10⁹ km/h

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