Question

write the operation that would undo the operation in each equation.

1. $5 \times n = 40$
2. $\frac{y}{5} = 80$
3. $\frac{x}{2} = 8$
4. $a \times 7 = 42$

Explanation:

Problem 1: \( 5 \times n = 40 \)

Step 1: Identify the operation

The operation here is multiplication by 5.

Step 2: Determine the inverse operation

The inverse operation of multiplication is division. So, to undo multiplying by 5, we divide by 5.

Step 1: Identify the operation

The operation here is division by 5.

Step 2: Determine the inverse operation

The inverse operation of division is multiplication. So, to undo dividing by 5, we multiply by 5.

Step 1: Identify the operation

The operation here is division by 2.

Step 2: Determine the inverse operation

The inverse operation of division is multiplication. So, to undo dividing by 2, we multiply by 2.

Answer:

Divide by 5 (or \( \div 5 \))

Problem 2: \( \frac{y}{5} = 80 \)