Question

convince me! why is 51% of a number more than half of the number?

Explanation:

Step1: Define a number

Let the number be $x$.

Step2: Calculate 51% of the number

$51\%$ of $x$ is $0.51x$.

Step3: Calculate half of the number

Half of $x$ is $0.5x$.

Step4: Compare the two values

Subtract $0.5x$ from $0.51x$: $0.51x - 0.5x=0.01x$. Since $x> 0$ (assuming we are dealing with non - zero numbers, and for $x = 0$, the difference is 0), $0.01x>0$. So $0.51x>0.5x$.

Answer:

$51\%$ of a non - zero number is more than half of the number because $51\%$ of a number is $0.51$ times the number and half of a number is $0.5$ times the number, and the difference between $0.51$ times the number and $0.5$ times the number is $0.01$ times the number which is positive for non - zero numbers.