Question

Insert grouping symbols to make the equation true: 3×4²+8÷4

(a) (3×4²) + 8÷4 = 146
(b) 3×(4²+8)÷4 = 38
(c) (3×4² + 8)÷4 = 42
(d) 3×(4²+8)÷4 = 34

Answer 1

To make the equation true, we need to use grouping symbols. The correct answer is (c) (3×4² + 8)÷4 = 42.

Step-by-step explanation:

The correct answer is (c) (3×4² + 8)÷4 = 42.

In this equation, we need to use grouping symbols to show the correct order of operations. The exponent, 4², should be evaluated first, then the multiplication, and finally the addition and division.

So, (3×4²) + 8÷4 = (3×16) + 2 = 48 + 2 = 50. But this is not the correct answer.

The answer (c) (3×4² + 8)÷4 = 42 is the correct option because the expression inside the parentheses should be evaluated first, giving us (3×16) + 8 = 48 + 8 = 56. Then, we divide this sum by 4 to get 56 ÷ 4 = 14. Therefore, the equation is true when we use grouping symbols as shown in option (c).