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Express the number apperaring in the following statements in standard form.
Speed of light in vacuum is `3000,000,00 m"/"s`.

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To express the speed of light in vacuum, which is given as `300,000,000 m/s`, in standard form, we will follow these steps: ### Step 1: Identify the number The number given is `300,000,000`. ### Step 2: Write the number in scientific notation To convert this number into scientific notation, we need to express it as a product of a number between 1 and 10 and a power of 10. - We can write `300,000,000` as `3.0 × 100,000,000`. ### Step 3: Convert `100,000,000` to a power of 10 Now, we need to express `100,000,000` in terms of powers of 10. - `100,000,000` can be expressed as `10^8` because `10^8 = 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10` (which is 8 zeros). ### Step 4: Combine the results Now we can combine the results from Steps 2 and 3: - Therefore, `300,000,000` can be expressed as: \[ 3.0 × 10^8 \] ### Final Answer Thus, the speed of light in vacuum in standard form is: \[ 3.0 × 10^8 \text{ m/s} \] ---
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-NCERT SECTION (EXERCISE 12.3)
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