Vinay Sharma and H K Thakur Solutions for Chapter: Integers, Exercise 2: SELF PRACTICE 6.2

Let us invent an operation $*$ for integers such that for two integers $a$ and $b$:
$a* b=a+b+\left(-2a\right)$.
Determine $(-4)*5$.

Let us invent an operation $*$ for integers such that for two integers $a$ and $b$:
$a* b=a+b+\left(-2a\right)$.
Determine $5 *(-2)$.

Zero is a negative integer.

$0+0=0$

$0$ is the smallest integer.

The successor of $-61$ is $-62$.

The sum of three different integers is always zero.

The predecessor of $-200$ is $-201$.