Express the numbers appearing in the following statements in standard form. a) speed of light in vacuum is 3,00,000,000 m/s

Answer

To express the speed of light in vacuum, which is given as 3,00,000,000 m/s, in standard form, we follow these steps:

### Step 1: Identify the number
The number we need to convert is 3,00,000,000.

### Step 2: Write the number in scientific notation
In scientific notation, we express numbers as a product of a number between 1 and 10 and a power of 10.

To do this, we can rewrite 3,00,000,000 as:
- Move the decimal point 8 places to the left (from the end of the number to just after the 3).
- This gives us 3.0.

### Step 3: Count the number of places the decimal was moved
Since we moved the decimal point 8 places to the left, we will use 10 raised to the power of 8.

### Step 4: Combine the parts
Now we can combine the parts:
- The number in standard form is 3.0 × 10^8.

### Step 5: Write the units
Finally, we add the units (meters per second) to the standard form:
- Therefore, the speed of light in vacuum in standard form is 3.0 × 10^8 m/s.

### Final Answer:
The speed of light in vacuum is expressed in standard form as:
**3.0 × 10^8 m/s**

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