`3670000` in standard form is

Options

A. `367 xx 10 ^(4)`
B. `36.7 xx 10 ^(5)`
C. `3.67 xx 10 ^(6)`
D. none of these

Answer

To express the number `3670000` in standard form, we follow these steps:

### Step 1: Identify the significant digits
The significant digits in `3670000` are `3`, `6`, and `7`.

### Step 2: Place the decimal point
In standard form, we need to place the decimal point after the first significant digit. Thus, we write it as `3.67`.

### Step 3: Count the number of places the decimal point has moved
We moved the decimal point 6 places to the left to convert `3670000` to `3.67`.

### Step 4: Write the number in standard form
The standard form of a number is expressed as:
\[ a \times 10^n \]
where \( a \) is a number between 1 and 10, and \( n \) is an integer.

Since we moved the decimal point 6 places to the left, we express this as:
\[ 3.67 \times 10^6 \]

### Final Answer
Thus, `3670000` in standard form is:
\[ 3.67 \times 10^6 \]