Question 1

We need to make the expressions on both sides of the equal sign the same.

Step 1 — Solve part (a)

Let us first calculate the value of the left side.

$24 + (6 - 4)$

$= 24 + 2$

$\boxed{26}$

Now, let us look at the right side. We have $24 + 6 \ \square \ \underline{\quad}$. This simplifies to $30 \ \square \ \underline{\quad}$. We need this to be equal to 26. We know that $30 - 4 = 26$. So, the operation is subtraction and the number is 4.

Step 2 — Solve part (b)

Let us first calculate the value of the right side.

$38 + 9 - 4$

$= 47 - 4$

$\boxed{43}$

Now, let us look at the left side. We have $38 + (\underline{\quad} \ \square \ \underline{\quad})$. We need this to be equal to 43. This means the value inside the parentheses must be $43 - 38$.

$43 - 38$

$\boxed{5}$

We need two numbers and an operation that result in 5. From the right side, we see $9 - 4$ equals 5. So, the numbers are 9 and 4, and the operation is subtraction.

Step 3 — Solve part (c)

Let us first calculate the value of the left side.

$24 - (6 + 4)$

$= 24 - 10$

$\boxed{14}$

Now, let us look at the right side. We have $24 \ \square \ 6 - 4$. We need this to be equal to 14. If we use subtraction for the operation, we get $24 - 6 - 4$.

$24 - 6 - 4$

$= 18 - 4$

$\boxed{14}$

This matches the left side. So, the operation is subtraction.

Step 4 — Solve part (d)

Let us first calculate the value of the left side.

$24 - 6 - 4$

$= 18 - 4$

$\boxed{14}$

Now, let us look at the right side. We have $24 - 6 \ \square \ \underline{\quad}$. This simplifies to $18 \ \square \ \underline{\quad}$. We need this to be equal to 14. We know that $18 - 4 = 14$. So, the operation is subtraction and the number is 4.

Step 5 — Solve part (e)

Let us first calculate the value of the left side.

$27 - (8 + 3)$

$= 27 - 11$

$\boxed{16}$

Now, let us look at the right side. We have $27 \ \square \ 8 \ \square \ 3$. We need this to be equal to 16. Remember that when we remove parentheses after a minus sign, the signs inside change. So, $27 - (8 + 3)$ is the same as $27 - 8 - 3$.

$27 - 8 - 3$

$= 19 - 3$

$\boxed{16}$

This matches the left side. So, both operations are subtraction.

Step 6 — Solve part (f)

Let us first calculate the value of the right side.

$27 - 8 + 3$

$= 19 + 3$

$\boxed{22}$

Now, let us look at the left side. We have $27 - (\underline{\quad} \ \square \ \underline{\quad})$. We need this to be equal to 22. This means the value inside the parentheses must be $27 - 22$.

$27 - 22$

$\boxed{5}$

We need two numbers and an operation that result in 5. From the right side, we see $8 - 3$ equals 5. So, the numbers are 8 and 3, and the operation is subtraction.

Answer

(a) $24 + (6 - 4) = 24 + 6 \ \mathbf{-} \ \underline{\mathbf{4}}$ (b) $38 + (\underline{\mathbf{9}} \ \mathbf{-} \ \underline{\mathbf{4}}) = 38 + 9 - 4$ (c) $24 - (6 + 4) = 24 \ \mathbf{-} \ 6 - 4$ (d) $24 - 6 - 4 = 24 - 6 \ \mathbf{-} \ \underline{\mathbf{4}}$ (e) $27 - (8 + 3) = 27 \ \mathbf{-} \ 8 \ \mathbf{-} \ 3$ (f) $27 - (\underline{\mathbf{8}} \ \mathbf{-} \ \underline{\mathbf{3}}) = 27 - 8 + 3$