If a = 5 and b = 2, what is the value of a / b + a % b?

Understand the Problem

The question asks to evaluate the expression a / b + a % b given a = 5 and b = 2. This involves integer division and the modulo operation.

Answer

3
Answer for screen readers

3

Steps to Solve

  1. Substitute the values of a and b into the expression

Replace $a$ with 5 and $b$ with 2 in the expression $a / b + a % b$. This gives us $5 / 2 + 5 % 2$.

  1. Evaluate the integer division

Perform the integer division $5 / 2$. Integer division means we only keep the whole number part of the result. $5 / 2 = 2$

  1. Evaluate the modulo operation

The modulo operation $5 % 2$ finds the remainder when 5 is divided by 2. $5 % 2 = 1$

  1. Add the results

Add the results from the integer division and the modulo operation: $2 + 1 = 3$

3

More Information

The modulo operator is very useful in programming! Computer Scientists use it to perform many tasks like ensuring an index stays within the bounds of an array.

Tips

A common mistake is to perform regular division instead of integer division for the $a / b$ part. Remember integer division only keeps the whole number. For example $5/2 = 2.5$, but with integer division $5/2 = 2$. Another common mistake is confusing the division and modulo operators.

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