The problem requires finding the inverse operation of dividing by 30.
The opposite of division is multiplication.
Multiplying by 30 reverses the effect of dividing by 30.
The opposite of dividing by 30 is multiplying by 30 .
Explanation
Understanding the Problem The question asks us to identify the operation that reverses the effect of dividing by 30. In mathematics, the opposite of division is multiplication.
Identifying the Inverse Operation To undo the operation of dividing by 30, we need to perform the inverse operation, which is multiplying by 30. For example, if we start with a number x and divide it by 30, we get 30 x . To get back to the original number x , we need to multiply the result by 30: 30 x × 30 = x .
Determining the Opposite Operation Therefore, the opposite of dividing by 30 is multiplying by 30.
Examples
Imagine you're baking a cake and the recipe calls for dividing the amount of flour by 30 because you're making a smaller cake than the recipe intends. To scale the recipe back up to the original size, you would then multiply the ingredients by 30. This concept of inverse operations is crucial in adjusting recipes, managing finances, or converting units in science and engineering.