Question

u may draw an area model to help you.

1. $504\div6 = (\underline{quadquad} + 24)\div6$

$quadquadquadquad = (\underline{quadquad}\div\underline{quadquad}) + (24\div6)$
$quadquadquadquad = \underline{quadquad} + \underline{quadquad}$
$quadquadquadquad = \underline{quadquad}$

Explanation:

Step1: Find the missing number in the first blank

We know that \(504 = \text{[blank]} + 24\), so we calculate \(504 - 24 = 480\). So the first blank is \(480\).
\(504\div6=(480 + 24)\div6\)

Step2: Apply the distributive property of division

The distributive property of division over addition states that \((a + b)\div c=(a\div c)+(b\div c)\). So we have \((480 + 24)\div6=(480\div6)+(24\div6)\)

Step3: Calculate each division

Calculate \(480\div6 = 80\) and \(24\div6 = 4\)
\(=(480\div6)+(24\div6)=80 + 4\)

Step4: Add the results

Add \(80\) and \(4\): \(80+4 = 84\)

Answer:

\(504\div6=(480 + 24)\div6=(480\div6)+(24\div6)=80 + 4 = 84\)

So the blanks are filled as follows: \(480\), \(480\), \(6\), \(80\), \(4\), \(84\) (in order of the blanks in the problem).