Question

Drag the correct symbol into the box to compare the expressions. Which symbol should be placed in the response area to compare the expressions 3(3 + 4) and 3³?

1) >
2) <
3) =
4) ≠

Answer 1

The expression 3(3 + 4) simplifies to 21, and 3³ simplifies to 27. Since 21 is less than 27, the correct symbol to compare these expressions is <.

Step-by-step explanation:

To compare the expressions 3(3 + 4) and 3³, we must first simplify each expression. The first expression is a simple multiplication problem where we add the numbers in the parentheses first, so it becomes 3 * 7 which is equal to 21. The second expression is an exponent indicating that the number 3 is multiplied by itself three times, so 3 * 3 * 3, which equals 27.

Now that we have simplified both expressions, we can compare them:

• 3(3 + 4) = 21
• 3³ = 27

Since 21 is less than 27, the correct symbol to place between the expressions is <.