Topic Details

Level: Level 10: Advanced Fractions & Decimals

Topic: Working with decimals

Description:

Decimals are another way of representing numbers that are not whole. They are based on powers of 10 and are written using a decimal point. For example, the number 0.5 is equivalent to one-half (1/2) and 0.75 is equivalent to three-quarters (3/4).

Working with decimals involves understanding their place value. Each digit after the decimal point represents a fraction of 10. For example, in the number 3.42, the "3" is in the ones place, the "4" is in the tenths place, and the "2" is in the hundredths place.

Examples:

Example 1: Adding Decimals
To add 2.75 + 1.5, align the decimal points and add the numbers just like you would with whole numbers:

    2.75
  + 1.50
    ------
    4.25
    
So, 2.75 + 1.5 = 4.25.

Example 2: Subtracting Decimals
To subtract 5.6 - 2.3, again, align the decimal points and subtract as you would with whole numbers:

    5.60
  - 2.30
    ------
    3.30
    
So, 5.6 - 2.3 = 3.3.

Working with decimals is important for everyday tasks such as handling money, measuring distances, and working with percentages. It’s essential to practice to become comfortable with the place values and operations involving decimals.

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