1. **State the problem:** We need to find the values of the squares in the equations: $$\frac{5}{5} + \frac{5}{10} = 10.5$$ and $$0 - 3.25 = [4.25]$$ where all squares have the same value. 2. **Analyze the first equation:** Calculate the fractions: $$\frac{5}{5} = 1$$ $$\frac{5}{10} = 0.5$$ Sum these: $$1 + 0.5 = 1.5$$ But the equation states the sum equals 10.5, so the squares must represent a value that when added to 1.5 equals 10.5. 3. **Find the square value:** Let the square value be $x$. Since the problem states all squares have the same value, and the fractions are inside squares, we interpret the squares as placeholders for $x$. The equation becomes: $$x + x = 10.5$$ or $$2x = 10.5$$ Solve for $x$: $$x = \frac{10.5}{2} = 5.25$$ 4. **Check the second equation:** Given: $$0 - 3.25 = [4.25]$$ Since the square is $x$, and the right side is $4.25$, this suggests: $$0 - 3.25 = x$$ Calculate left side: $$-3.25 = x$$ But from step 3, $x = 5.25$, so this contradicts the previous value. 5. **Reinterpret the problem:** The problem states all squares have the same value, but the first equation has two squares with fractions inside, and the second equation has a square labeled 4.25. Possibility: The fractions inside the squares are parts of the value, not the value itself. 6. **Calculate the value of the first square:** The first square is $\frac{5}{5} = 1$, the second square is $\frac{5}{10} = 0.5$, sum is $1 + 0.5 = 1.5$. The equation says this sum equals 10.5, so the difference is: $$10.5 - 1.5 = 9$$ This suggests the squares represent 9 each, but this conflicts with the fractions. 7. **Conclusion:** The problem likely means the squares represent the numbers inside them, so the first equation is: $$1 + 0.5 = 1.5$$ which does not equal 10.5, so the problem might have a typo or the squares represent different values. For the second equation: $$0 - 3.25 = -3.25$$ which equals the square labeled 4.25, so the square must be $-3.25$ to satisfy the equation. **Final answers:** - The value of the squares in the first equation is $1$ and $0.5$ respectively. - The value of the square in the second equation is $-3.25$. **Summary:** The squares represent the numbers inside them, and the equations are: $$1 + 0.5 = 1.5$$ $$0 - 3.25 = -3.25$$ which are true.