Question

1. Convert the following into standard form
(ii) Speed of light in vacuum is 299792458 m/s.
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Answer 1

Answer:

Speed of light in standard form = 2.997 × $10^8$

Step-by-step explanation:

Given,

The speed of light in a vacuum is 299792458 m/s.

Required to convert it into standard form

Recall the concepts

Any number is said to be written in standard form if it is of the form

m×$10^n$, where 0≤m<10 and n is an integer.

Solution:

Given number is 299792458, to make the number  to a decimal number between 0 and 10 we need to divide the number by $10^8$

Hence, multiply and divide the number by $10^8$

299792458 = 299792458×$\frac{10^8}{10^8}$

=2.997 × $10^8$

∴Speed of light in standard form = 2.997 × $10^8$

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Answer 2

Answer:

Speed of light in standard form $=2.997\times10^{8}$

step-by-step explanation:

In mathematics, the most typical way to represent a specific element is called standard form. Every mathematical concept, including big numbers, tiny numbers, equations, and lines, has a standard form. Explore this intriguing idea of standard form as it relates to many math concepts, including fractions, equations, algebra, slope, and determining the standard from a formula. Knowing the fundamental thumb rule and resolving examples can help you better understand the idea.

A standard form is a way to express a particular mathematical idea, such as an equations, number, or expression, in prose that adheres to a set of criteria. The standard form is used to express very big or very small numbers clearly.

In a vacuum, light travels at a speed of $299792458 m/s.$

It must be transformed into standard form.

Any number that is expressed in the format is referred to as being in standard form $m\times10^n, where 0\leq m$ and n is an integer.

We must divided the given integer, $299792458,$ by $10^{8}$ in order to convert it to a decimal number between 0 and 10.

The number is divided and multiplied by $10^{8}$

                                            $= 299792458\times\frac{10^8}{10^8}$

                                            $=2.997 \times 10^8$

Consequently, the conventional version of the speed of light is

$2.997 \times 10^8.$

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