`0.000367xx 10 ^(4)` in usual form is

Options

A. `3.67`
B. `36.7`
C. `0.367`
D. `0.0367`

Answer

To convert \(0.000367 \times 10^4\) into usual form, we will follow these steps:

### Step 1: Understand the scientific notation
The expression \(0.000367 \times 10^4\) means that we have a number (0.000367) that we need to multiply by \(10^4\).

### Step 2: Calculate \(10^4\)
First, we need to calculate \(10^4\):
\[ 10^4 = 10 \times 10 \times 10 \times 10 = 10000 \]

### Step 3: Multiply \(0.000367\) by \(10000\)
Now, we will multiply \(0.000367\) by \(10000\):
\[ 0.000367 \times 10000 \]

To do this, we can move the decimal point in \(0.000367\) four places to the right (since we are multiplying by \(10^4\)):
- Starting with \(0.000367\), moving the decimal four places to the right gives us:
- Move 1: \(0.00367\)
- Move 2: \(0.0367\)
- Move 3: \(0.367\)
- Move 4: \(3.67\)

Thus, \(0.000367 \times 10000 = 3.67\).

### Step 4: Write the final answer
The usual form of \(0.000367 \times 10^4\) is:
\[ \text{Usual form} = 3.67 \]

### Summary of Steps:
1. Calculate \(10^4 = 10000\).
2. Multiply \(0.000367\) by \(10000\) by moving the decimal point four places to the right.
3. The final answer is \(3.67\).

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