Express the following numbers in usual form :
`7.54 xx 10^(-4)`

Answer

To express the number \( 7.54 \times 10^{-4} \) in usual form, we will follow these steps:

### Step 1: Understand the notation
The notation \( 10^{-4} \) means that we are dealing with a very small number. Specifically, \( 10^{-4} \) is equal to \( \frac{1}{10^4} \) or \( \frac{1}{10000} \).

### Step 2: Rewrite the expression
We can rewrite \( 7.54 \times 10^{-4} \) as:
\[ \frac{7.54}{10^4} \]
This means we are dividing \( 7.54 \) by \( 10^4 \).

### Step 3: Calculate \( 10^4 \)
Calculate \( 10^4 \):
\[ 10^4 = 10000 \]
So, we have:
\[ \frac{7.54}{10000} \]

### Step 4: Perform the division
Now, we will divide \( 7.54 \) by \( 10000 \). This is equivalent to moving the decimal point in \( 7.54 \) four places to the left:
\[ 7.54 \div 10000 = 0.000754 \]

### Step 5: Write the final answer
Thus, the usual form of \( 7.54 \times 10^{-4} \) is:
\[ 0.000754 \]

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