Day 8: Discovering Decimals! Preparatory Stage Mathematics | Apex Institute of Maths and Sciences

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Day 8: Discovering Decimals! Preparatory Stage Mathematics | Apex Institute of Maths and Sciences

Day 8: Discovering Decimals! 🎯

Preparatory Stage Mathematics | Apex Institute of Maths and Sciences

🎯 1. Concept: What is a Decimal?

Welcome to Week 2! Last week we learned about Fractions. Today, we are learning about a different way to write fractions called Decimals.

A decimal is a number that uses a small dot (called a decimal point) to separate whole numbers from parts of a whole.

💡 2. The Rule of the Decimal Point

The decimal point acts like a wall between big numbers and tiny pieces!

  • Everything to the LEFT of the decimal point is a WHOLE number (Ones, Tens, Hundreds).
  • Everything to the RIGHT of the decimal point is a PART of a whole (Tenths, Hundredths).

Example: In the number 3.4, the 3 is a whole number, and the 4 represents four-tenths (4/10) of a whole.

🌍 3. Math in Our Daily Life

Decimals are used every single day, especially when we talk about money and measuring!

Scenario 1: Money! If you buy a chocolate bar for ₹15.50, you are using decimals! The 15 is the whole rupees, and the 50 represents 50 paise (which is a fraction, 50/100, of a rupee).

Scenario 2: Weighing scales: When you buy apples, the scale might say 1.5 kg. This means you have 1 whole kilogram and exactly half (5/10) of another kilogram.

📝 4. Home Practice (Fun Tasks)

Let’s go on a decimal hunt around the house!

  • Task A: The Receipt Detective: Ask your parents for a grocery store bill or receipt. Look at the prices and circle 3 different numbers that use a decimal point. Read them out loud!
  • Task B: The Ruler Challenge: Grab a ruler. Look at the centimeters. Can you find 2.5 centimeters? Point to it and show your parent!

✅ 5. Day 8 Practice Test

Are you a Decimal Detective? Take this quiz to find out! Select your answers and click submit to check your score.

Easy
1. What does the decimal point do?
Solution: The decimal point acts like a wall, separating whole numbers (left) from fraction parts (right).
Easy
2. In the number 4.5, what place is the ‘5’ in?
Solution: The first spot immediately to the right of the decimal point is the Tenths place.
Easy
3. How do you write the fraction 3/10 as a decimal?
Solution: 3/10 is three-tenths, which is written as 0.3.
Easy
4. Which is larger: 0.5 or 0.1?
Solution: 0.5 is five-tenths, which is larger than one-tenth (0.1).
Medium
5. What is the place value of the ‘7’ in 12.07?
Solution: The second spot to the right of the decimal point is the Hundredths place.
Medium
6. How do you write “Four and two-tenths” as a decimal?
Solution: “Four” is the whole number, “and” is the decimal point, “two-tenths” is 2. Result: 4.2.
Medium
7. Convert the fraction 25/100 to a decimal.
Solution: 25 hundredths is written as 0.25.
Medium
8. You have ₹10 and 50 paise. How is this written as a decimal?
Solution: 10 whole rupees and 50 paise (hundredths) is written as ₹10.50.
Hard
9. In the number 145.89, which digit is in the tenths place?
Solution: The number right after the decimal is the tenths place, which is 8.
Hard
10. What is 0.3 + 0.4?
Solution: Three-tenths plus four-tenths equals seven-tenths (0.7).
⚠️ Please answer all 10 questions before submitting!

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