What is Dividing Decimals?

S3-SA4-0076

Grade Level:

Class 6

AI/ML, Data Science, Physics, Economics, Cryptography, Computer Science, Engineering

Definition

What is it?

Dividing decimals means splitting a decimal number into equal parts. It's similar to dividing whole numbers, but we need to pay special attention to the decimal point to get the correct answer.

Simple Example

Quick Example

Imagine you bought a 2.5 kg bag of mangoes for your family. If you want to share them equally among 5 friends, how much mango does each friend get? You would divide 2.5 kg by 5 to find each friend's share.

Worked Example

Step-by-Step

Let's divide 12.6 by 3.

Step 1: Set up the division like you would with whole numbers: 3 ) 12.6

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Step 2: Start dividing the whole number part. How many times does 3 go into 12? It goes 4 times. Write 4 in the quotient above 12.

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Step 3: Subtract 3 x 4 = 12 from 12. You get 0.

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Step 4: Bring down the decimal point from the dividend (12.6) straight up into the quotient, right after the 4.

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Step 5: Bring down the next digit, which is 6. Now you have 06 (or just 6).

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Step 6: How many times does 3 go into 6? It goes 2 times. Write 2 in the quotient after the decimal point.

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Step 7: Subtract 3 x 2 = 6 from 6. You get 0.

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So, 12.6 divided by 3 is 4.2.

Why It Matters

Understanding decimal division is crucial for many fields like Data Science, where you might average data points, or Physics, when calculating speeds or densities. Engineers use it to design structures, and economists use it to understand market trends. It helps you make sense of data in the real world and even build cool apps!

Common Mistakes

MISTAKE: Forgetting to place the decimal point in the quotient directly above its position in the dividend. | CORRECTION: Always place the decimal point in the quotient right after you finish dividing the whole number part of the dividend.

MISTAKE: Not adding zeros to the dividend if needed to continue dividing until there's no remainder or a repeating pattern. | CORRECTION: If you have a remainder after dividing all digits, add a zero to the dividend and continue dividing until the remainder is zero or you see a pattern.

MISTAKE: Misplacing the decimal point when the divisor is a decimal. | CORRECTION: When the divisor is a decimal, first move the decimal point in the divisor to make it a whole number. Then, move the decimal point in the dividend the same number of places to the right.

Practice Questions

Try It Yourself

QUESTION: Divide 9.3 by 3. | ANSWER: 3.1

QUESTION: A tailor used 7.5 meters of cloth to make 5 kurtas of the same size. How much cloth was used for one kurta? | ANSWER: 1.5 meters

QUESTION: You have a total of 15.6 litres of petrol, and your bike uses 1.2 litres per day. For how many days can you use your bike? | ANSWER: 13 days

MCQ

Quick Quiz

What is 10.8 divided by 4?

2.7

0.27

270

The Correct Answer Is:

To divide 10.8 by 4, you first divide 10 by 4, which is 2 with a remainder of 2. Then, place the decimal point and divide 28 (from the remainder 2 and the 8) by 4, which is 7. So the answer is 2.7.

Real World Connection

In the Real World

Imagine you're tracking your daily expenses using a digital payment app like PhonePe or Google Pay. If you spend 250.50 rupees on snacks over 5 days, dividing 250.50 by 5 helps you find your average daily snack expense. This skill is useful for managing your pocket money or even for small business owners calculating average sales.

Key Vocabulary

Key Terms

DIVIDEND: The number being divided | DIVISOR: The number by which another number is divided | QUOTIENT: The result of a division | DECIMAL POINT: The dot separating the whole number part from the fractional part of a decimal number

What's Next

What to Learn Next

Great job understanding decimal division! Next, you can explore 'Dividing Decimals by Decimals' to learn how to divide when both the numbers have decimal points. This will build on your current knowledge and make you even better at solving real-world math problems.