Question

Column A	Column B
2(8-7)	2(7-8)

Hint:

Be very careful with signs when performing arithmetic operations. A simple sign error is a common mistake in these types of questions.

Answer 1

Step 1: Understanding the Concept:
This question requires us to evaluate the arithmetic expressions in both columns and then compare their final values. The order of operations (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) is crucial.
Step 2: Key Formula or Approach:
First, solve the expression inside the parentheses. Then, multiply the result by the number outside the parentheses.
Step 3: Detailed Explanation:
For Column A:
The expression is \(2(8-7)\).
First, evaluate the subtraction inside the parentheses:
\[ 8 - 7 = 1 \] Now, multiply this result by 2:
\[ 2 \times 1 = 2 \] So, the value of Column A is 2.
For Column B:
The expression is \(2(7-8)\).
First, evaluate the subtraction inside the parentheses:
\[ 7 - 8 = -1 \] Now, multiply this result by 2:
\[ 2 \times (-1) = -2 \] So, the value of Column B is -2.
Step 4: Final Answer:
Comparing the two quantities:
Column A = 2
Column B = -2
Since 2 is greater than -2, the quantity in Column A is greater.