Integers

What do we call the property where $a + 0 = 0 + a = a$?

Find the value of $x$ in $x - (-5) = 2$.

What is the result of $100 + (-200) + 100$?

Identify the integer that makes the equation true: $5 + \_\_\_ = -2$

Find the value of $a$ if $a - (-10) = 0$.

If you are at $-10$ on the number line, in which direction and how many units should you move to reach $5$?

Compare the results: $A = -10 + (-5)$ and $B = -10 - (-5)$.

In a magic square, each row, column, and diagonal has the same sum. If a row has $-5, x, 2$ and the sum is $-3$, find $x$.

If $a$ is an integer such that $a + 1 = 0$, find the value of $a^{101} + a^{100}$ (where $a^n$ means $a$ added to itself $n$ times is NOT the case here, but use standard power rules for integers).

A water tank has steps inside it. A frog is at the top step (step 1). It jumps 3 steps down and then jumps 2 steps back up. In how many jumps will it reach the 9th step?

Calculate the value of $20 \times (-3)$.

Find the value of $(-2) \times 8$.

Calculate $(-3) \times (-4) \times (-5)$.

What is the product $1 \times (-45)$?

A stationery seller loses ₹1 on every eraser sold and earns ₹2 on every sharpener. If he sells 10 erasers and 5 sharpeners in a day, what is his net result?

What is the value of $(-1) \times (-5) \times (-10) \times (-2)$?

Evaluate the product: $(-4) \times (-5) \times 6$.

Find the product of the additive inverse of $5$ and the additive inverse of $-4$.

A shopkeeper sells a pen for a profit of $Rs\ 2$ and a ruler at a loss of $50$ paise. If he sells $50$ pens and $100$ rulers, what is his net profit or loss?

Evaluate: $70 \times (-19) + (-1) \times 70$.

Find the result of $(-8) \div (-2)$.

Calculate $49 \div (-7)$.

Evaluate: $(-1000) \div 10$.

What is the value of $(-3) \div (-3)$?

Find the value of $(-1) \times [(-20) \div 4]$.

Evaluate: $((-2) \times (-3) \times (-4)) \div (-8)$.

Which of the following examples shows that integers are NOT closed under division?

What is the result of $[(-36) \div (-4)] \div [(-9) \div 3]$?

If $y = [(-120) \div 10]$, then find the value of $[y \div (-3)] \times (-2)$.

Divide the product of $(-15)$ and $(-4)$ by the difference of $(-5)$ and $(-15)$.