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Decimal Fractions: Reading and Writing

Mathematics Grade 6 Difficulty 2/5

Beginning of the lesson

📐 Decimal Fractions: Reading and Writing

Десятичные дроби: чтение и запись

🔢 What is a Decimal Fraction?

Definition (Определение):

A decimal fraction is a fraction whose denominator is a power of 10 (10, 100, 1000, etc.), written using a decimal point.

Examples:
  • 3/10 = 0.3
  • 47/100 = 0.47
  • 125/1000 = 0.125
Why Decimals Matter
💰 Money
12.50 som
📏 Measurements
1.75 m
🏃 Sports
9.58 seconds
🔬 Science
π ≈ 3.14159

📊 Place Value Chart (Разрядная таблица)

Whole Part (Целая часть) . Fractional Part (Дробная часть)
Thousands
Тысячи
Hundreds
Сотни
Tens
Десятки
Ones
Единицы
Decimal
Point
Tenths
Десятые
Hundredths
Сотые
Thousandths
Тысячные
Ten-thousandths
Десятитысячные
1000 100 10 1 . 1/10 1/100 1/1000 1/10000
1000 100 10 1 . 0.1 0.01 0.001 0.0001
Tenths (Десятые)

First place after decimal point

0.1 = 1/10

Dividing 1 into 10 equal parts

Hundredths (Сотые)

Second place after decimal point

0.01 = 1/100

Dividing 1 into 100 equal parts

Thousandths (Тысячные)

Third place after decimal point

0.001 = 1/1000

Dividing 1 into 1000 equal parts

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  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 64
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