## Math Story : Division By Zero Property

#### Squarho’s Trouble

It is a beautiful day. Squarho has borrowed Mr Division, a math gadget from Uncle Math. He wants to use it throughout the day and have some fun.

â€śLet me add some random numbers and see if Mr Division can divide them,â€ť he thinks.

To start with, he wants to divide 8 with 2. He quickly grabs some cups and scans them through it. It takes the count as 8, and he then inputs 2. â€ś4â€ť announces Mr Division.

â€śAh, nice! Let me try a bigger number now,â€ť he says. This time he wants to divide  20 by 10. So he scans  20 balls first and then inputs 10. â€ť2â€ť announced in Mr Division. Squarho is impressed.

â€śAhh! You wonâ€™t be able to solve this,â€ť says Squarho. It looks like he has got a tricky question. But what is the question? He scans nothing and inputs 5 later. What do you think is the answer?

â€ś0â€ť announces Mr Division. â€śWoohoo! Impressive. There was nothing to divide with 5. Nothing means 0. I was dividing 0 with 5. Of Course, the result will be 0 only. You are a genius Mr Division,â€ť he says.

â€śLet me try a bigger number again,â€ť he thinks. He scans 0 cups and inputs 50 in Mr Division. Can you guess what the answer is again? Of Course 0. If we divide 0 by any number irrespective of how big or small the number is, the result will be 0 itself.  Squarho will remember this trick.

â€śAlright! Now this one is the toughest. Surely, you wonâ€™t be able to solve this,â€ť says Squarho. He scans 9 cups and inputs 0 to trick Mr Division. Do you think it was able to solve this question?

Yes, of course! But the result was shocking. â€śUndefined!â€ť announces Mr Division loudly. â€śUndefined? What does that even mean? And Mr Division only answers in numbers. Then how did it show words this time? Oh no! Did I ruin it?â€ť says Squarho. He is terrified. What will he do now?

â€śWhat do I do now? Uncle Math will scold me. Boohoo!â€ť he sobs. DingDong! The doorbell rings. â€śOh no! He is here to collect Mr Division. What will I tell him?â€ť says Squarho and goes to open the door apprehensively.

Seeing him worried, Uncle Math asks,â€ť What is wrong with you? Are you okay?â€ť Squarho then explains everything to him. â€śHaha! Squarho, you are adorable,â€ť says Uncle Math. But Squarho is puzzled.

â€śMr Division is alright. When you tried dividing 9 with 0, that means you were dividing 9 with nothing. Does this statement even make sense? Can you understand it? No right. Thus the answer is undefined,â€ť explains Uncle Math. Squarho is relieved but confused yet.

â€śWhen I divide 0 with any number, the answer is 0 because here I am dividing nothing with a number. Of Course, the result will be nothing. Whereas If I divide a number with 0 (nothing), I can’t do so. Am I correct?â€ť he says.

â€śAbsolutely right!â€ť says Uncle Math. â€śWow! 2 new tricks. These will help me divide even faster now,â€ť says Squarho. Uncle Math agrees with him.

â€śUse of 0 in Math could be tricky, but understanding its meaning and purpose definitely simplifies its application,â€ť says Uncle Math. Two new division tricks, one smart gadget and a day full of experiments. Squarho had a blast indeed.

## We Learnt Thatâ€¦

• Dividing 0 with any number, the result will always be 0.
• We cannot divide any number with 0. The result is undefined.
• Use of 0 in Math could be tricky, but understanding its meaning and purpose definitely simplifies its application

## Letâ€™s Discuss

• What was Squarho doing?
• Dividing 0 with any number always gives 0 as the result. Why? Explain.
• Dividing a number with 0, the result is undefined. Why? Explain.
• Squarho verifies his answer after Mr Division solves it. Should we do so?