If p = (12.34 × 10¹⁰) − (5.67 × 10⁹), then p is expressed in standard form as :

The correct option is 1.1773 × 10¹¹.

Step-by-Step Solution:

We are given the expression:

$p=(12.34\times {10}^{10})-(5.67\times {10}^9)$

To perform the subtraction easily, we need to rewrite both terms so that they have the same power of 10. Let's express both terms with ${10}^{10}$:

$5.67\times {10}^9=0.567\times {10}^{10}$

Now, substitute this back into the original expression for $p$:

$p=(12.34\times {10}^{10})-(0.567\times {10}^{10})$

Factor out ${10}^{10}$:

$p=(12.34-0.567)\times {10}^{10}$

Subtract the numbers inside the parentheses:

$12.34-0.567=11.773$

So, we get:

$p=11.773\times {10}^{10}$

To express $p$ in standard scientific form (where the leading number is between 1 and 10), we shift the decimal point one place to the left and adjust the exponent of 10 accordingly:

$11.773=1.1773\times {10}^1$

Therefore:

$p=1.1773\times {10}^1\times {10}^{10}=1.1773\times {10}^{11}$