
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Read the following material and answer the questions:<br/>We all know that $\sqrt{2}$ is an irrational number, and irrational numbers are infinite non-repeating decimals. Therefore, we cannot write out all the decimal parts of $\sqrt{2}$, and the integer part of $\sqrt{2}$ is $1$, so we can use $\sqrt{2}-1$ to represent the decimal part of $\sqrt{2}$, for example, the integer part of $\sqrt{3}$ is $1$, and the decimal part is $\sqrt{3}-1$. Please answer the following questions:<br/>$(1)$ The integer part of $\sqrt{5}$ is ______, and the decimal part is ______.<br/>$(2)$ If the decimal part of $\sqrt{7}$ is $m$, the integer part of $\sqrt{7}$ is $n$, find the value of $m+n-\sqrt{7}$.<br/>$(3)$ Given: $a$ is the arithmetic square root of $3$, $b$ is the integer part of $\sqrt{10}$. If we define $a$※$b=|a-b|$, find the value of $a$※$b+a$.

Present the answer in LaTex format: \boxed{Your answer}
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