Question

To illustrate the role of brackets in mathematics and how they affect the sum, you can consider two sums: 1. 3+4x2 2. (3+4) X2 Now, explain the significance of brackets and how they affect each sum. Additionally, provide the answers for both sums.

Answer 1

Brackets in mathematics indicate the order of operations. Without brackets, multiplication is performed before addition. With brackets, the addition inside the brackets is done first.

Step-by-step explanation:

The significance of brackets in mathematics is to indicate the order of operations. Brackets group together numbers or expressions that should be treated as a single unit. This affects the sum by determining which operations are performed first.

Let's consider the two sums:

1. 3 + 4 x 2 = 11
2. (3 + 4) x 2 = 14

In the first sum, without brackets, the multiplication is performed before addition. So, 4 x 2 is done first, resulting in 8, and then 3 is added, giving us a final answer of 11.

In the second sum, with brackets, the addition inside the brackets is done first. So, 3 + 4 is evaluated to 7. Then, this sum is multiplied by 2, resulting in a final answer of 14.