Question

add to both sides : add what to both sides? 8.2 + x +
= 9.6 +

Explanation:

Step1: Identify the goal

We want to balance the equation \(8.2 + x + \square=9.6+\square\). To isolate \(x\), we can use the addition property of equality, which states that if we add the same number to both sides of an equation, the equation remains true. We need to find a number that when added to \(8.2\) gives \(9.6\). Let's call this number \(a\), so we solve \(8.2 + a=9.6\).

Step2: Solve for \(a\)

Subtract \(8.2\) from both sides of the equation \(8.2 + a=9.6\):
\(a = 9.6 - 8.2\)
\(a=1.4\)

So we add \(1.4\) to both sides.

Answer:

We add \(1.4\) to both sides. So the boxes should be filled with \(1.4\) and \(1.4\) respectively, i.e., \(8.2 + x+1.4 = 9.6 + 1.4\)