Another way of comparing two numbers is by using s

Questions: Another way of comparing two numbers is by using subtraction. Fill in the following for comparing two numbers represented by a and b. (a) If a>b then a-b must be than zero. (b) If a<b then a-b must be than zero. (c) If a=b then a-b must be to zero.

Transcript text: 6. Another way of comparing two numbers is by using subtraction. Fill in the following for comparing two numbers represented by $a$ and $b$. (a) If $a>b$ then $a-b$ must be $\qquad$ than zero. (b) If $a

Solution

Solution Steps

To compare two numbers using subtraction: (a) If $a > b$, then $a - b$ must be greater than zero. (b) If $a < b$, then $a - b$ must be less than zero. (c) If $a = b$, then $a - b$ must be equal to zero.

Step 1: Determine the values of $ a $ and $ b $

Given: $ a = 10 $ and $ b = 5 $

Step 2: Calculate the result of $ a - b $

Subtracting $ b $ from $ a $: $ a - b = 10 - 5 = 5 $

Step 3: Compare the result to determine the relationship between $ a $ and $ b $

Since the result is 5, which is greater than zero, we conclude that $ a $ is greater than $ b $.