What decimal number is illustrated?

key notes:

1. Understanding Decimals

• A decimal number is a way to represent fractions and whole numbers together using a decimal point.
• The position of each digit in a decimal number indicates its value (place value).

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2. Place Value in Decimals

• Digits to the left of the decimal point represent whole numbers (e.g., ones, tens, hundreds).
• Digits to the right of the decimal point represent fractional parts:
  • Tenths (1/10): First place after the decimal.
  • Hundredths (1/100): Second place after the decimal.
  • Thousandths (1/1000): Third place after the decimal.

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3. Visualizing Decimals

• Grids:
  • A 10×10 grid represents 1 unit divided into 100 equal parts (hundredths).
  • Example: If 45 squares are shaded, the decimal is 0.45 (45/100).
• Number Lines:
  • Decimals are placed between whole numbers.
  • Example: On a number line from 0 to 1, the point halfway represents 0.5.

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4. Interpreting Decimal Representations

• Shaded Figures: Count the shaded parts and divide by the total parts to determine the decimal.
  • Example: In a circle divided into 10 equal parts with 7 shaded, the decimal is 0.7.
• Bar Models: Identify the fraction of the bar shaded and convert it to a decimal.
  • Example: A bar divided into 5 parts with 3 shaded represents 0.6 (3/5 = 0.6).

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5. Converting Decimals to Fractions

• Write the decimal as a fraction and simplify if needed.
  • Example: 0.75 = 75/100 = 3/4.

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6. Common Decimal Equivalents

• 1/2 = 0.5
• 1/4 = 0.25
• 3/4 = 0.75
• 1/10 = 0.1

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7. Real-Life Applications

• Understanding decimals is essential for money calculations, measurements, and data interpretation.

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8. Activities to Practice

• Identify the decimal represented by shaded parts of a grid or figure.
• Place decimal numbers correctly on a number line.
• Convert fractions from visual representations into decimals.

Examples:

1. Grid Example:
   A grid with 100 squares has 62 shaded. The decimal is 0.62.
2. Number Line Example:
   A point halfway between 1 and 2 on a number line is 1.5.
3. Shaded Circle Example:
   A circle divided into 10 parts with 3 shaded is 0.3.

Learn with an example

let’s practice: