What decimal number is illustrated?

key notes :

1. Understanding Decimal Models:

• Decimals represent parts of a whole, often shown using grids or number lines.
• The whole is divided into equal parts (e.g., 10, 100).
• Each part corresponds to a fraction of the whole (e.g., 0.1 or 0.01).

2. Grid Model:

• A grid can be a 10×10 square divided into 100 smaller squares.
• If 47 squares are shaded, the decimal represented is 0.47 (47 out of 100).
• The first digit after the decimal point is the tenths place, and the second digit is the hundredths place.

3. Number Line Model:

• A number line can be divided between whole numbers into equal parts.
• For example, the interval between 0 and 1 can be divided into 10 parts, each representing 0.1.
• If a point is halfway between 0.4 and 0.5, it represents 0.45.

4. Place Value:

• Each digit in a decimal has a specific place value (tenths, hundredths, thousandths).
• Example: In the decimal 0.36, 3 is in the tenths place, and 6 is in the hundredths place.

5. Reading and Writing Decimals:

• Practice interpreting the shaded or marked parts of models and writing the corresponding decimal number.
• For example, 25 shaded squares on a 100-grid model equals 0.25.

6. Relating Decimals to Fractions:

• Decimals can be written as fractions: 0.25 = 25/100.
• This helps students understand the decimal better in terms of parts of a whole.

Learn with an example

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