Find a number that results in a greater number when it is added to 100 than when it is multiplied by 100?
How about 1?
To find a number that results in a greater number when added to 100 than when multiplied by 100, we can set up an equation. Let's call the number "x".
When the number is added to 100, the equation is: x + 100.
When the number is multiplied by 100, the equation is: x * 100.
We want to find a number for which x + 100 is greater than x * 100. Mathematically, we can write this as:
x + 100 > x * 100
To solve this inequality, let's simplify it step by step.
1. Distribute 100 on the right side:
x + 100 > 100x
2. Subtract x from both sides to isolate the variables on one side:
100 > 100x - x
100 > 99x
3. Divide both sides of the inequality by 99 to solve for x:
100/99 > x
Therefore, any number greater than 100/99 will satisfy the condition.
So, the answer to the question is any number greater than approximately 1.0101 (calculated as 100/99).
To find other numbers that satisfy the condition, you can choose any number greater than 1.0101 and plug it into the equation to verify that it indeed results in a greater number when added to 100 than when multiplied by 100.