Give the order of the following :
Mean radius of earth (`6.37xx10^(6)m`)

Answer

To find the order of the mean radius of the Earth, which is given as \(6.37 \times 10^6 \, \text{m}\), we will follow these steps:

### Step 1: Identify the significant figure
The number \(6.37\) has one digit to the left of the decimal point, which is \(6\).

### Step 2: Determine the exponent
The exponent in the scientific notation is \(10^6\). This indicates that the value is in the millions.

### Step 3: Determine the order of magnitude
The order of magnitude is determined by the exponent in the scientific notation. Since we have \(10^6\), the order of magnitude is \(6\).

### Step 4: Adjust for the significant figure
Since \(6.37\) is greater than \(5\), we need to add \(1\) to the exponent. Therefore, the order of magnitude becomes \(6 + 1 = 7\).

### Final Answer
Thus, the order of the mean radius of the Earth is \(7\).

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