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What is 100 ÷ 5?
Grade Level:
Class 4
Maths, Computing, AI
Definition
What is it?
100 ÷ 5 means dividing the number 100 into 5 equal parts. It tells us how many are in each part or how many groups of 5 can be made from 100.
Simple Example
Quick Example
Imagine you have 100 ladoos for a festival. If you want to share them equally among 5 friends, how many ladoos does each friend get? You would do 100 ÷ 5 to find out.
Worked Example
Step-by-Step
Let's find 100 ÷ 5 using the long division method:
1. Write the division problem: 5 ) 100
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2. Look at the first digit of 100, which is 1. Can you divide 1 by 5? No, because 1 is smaller than 5. So, take the first two digits, which is 10.
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3. How many times does 5 go into 10? 5 x 2 = 10. So, 5 goes into 10 exactly 2 times.
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4. Write '2' above the '0' in 100 (in the tens place).
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5. Multiply 5 by 2 (the quotient part) and write the result (10) below the 10 in 100. Subtract 10 from 10, which gives 0.
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6. Bring down the next digit from 100, which is 0. Now you have 0. How many times does 5 go into 0? 0 times.
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7. Write '0' above the last '0' in 100 (in the ones place). Multiply 5 by 0 and write 0 below the 0. Subtract 0 from 0, which gives 0.
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So, 100 ÷ 5 = 20.
Why It Matters
Understanding division helps you manage resources, whether it's sharing data or distributing tasks. In computing, division is fundamental for algorithms and data processing. It's also key for careers in finance, data analysis, and even game development.
Common Mistakes
MISTAKE: Confusing the dividend and divisor, for example, trying to calculate 5 ÷ 100 instead of 100 ÷ 5. | CORRECTION: Remember that the first number is what you are dividing (dividend) and the second number is what you are dividing by (divisor).
MISTAKE: Forgetting to put a zero in the quotient when a digit is brought down and cannot be divided by the divisor. | CORRECTION: Always check if the new number formed after bringing down a digit can be divided. If not, place a zero in the quotient and bring down the next digit.
MISTAKE: Making multiplication errors when finding how many times the divisor goes into a part of the dividend. | CORRECTION: Practice your multiplication tables regularly to ensure accuracy during division.
Practice Questions
Try It Yourself
QUESTION: If a bus travels 150 km in 3 hours at a constant speed, what is its speed in km per hour? | ANSWER: 50 km/hour
QUESTION: You have 240 rupees and want to buy pens that cost 8 rupees each. How many pens can you buy? | ANSWER: 30 pens
QUESTION: A farmer has 365 mangoes. If he packs them into boxes, with 5 mangoes in each box, how many boxes will he fill? How many mangoes will be left over? | ANSWER: 73 boxes, 0 mangoes left over
MCQ
Quick Quiz
What is the result of 120 divided by 6?
12
20
60
2
The Correct Answer Is:
B
120 divided by 6 means splitting 120 into 6 equal parts. 6 multiplied by 20 equals 120, so 120 divided by 6 is 20.
Real World Connection
In the Real World
When you are budgeting your pocket money for the week, you might divide your total amount by 7 to see how much you can spend each day. Or, if a group of friends share an auto-rickshaw fare, they divide the total cost equally among themselves.
Key Vocabulary
Key Terms
DIVIDEND: The number being divided | DIVISOR: The number by which another number is divided | QUOTIENT: The result of division | REMAINDER: The amount left over after division
What's Next
What to Learn Next
Great job understanding basic division! Next, you can explore division with remainders, which is useful when numbers don't divide perfectly. This will prepare you for more complex problems in fractions and decimals.
