Decimal Number Types

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✅ Terminating Decimal

♾️ Non-Terminating Decimal

Terminating Decimal

When the denominator divides the numerator completely (after simplifying), the decimal ends after a finite number of digits.

Examples:

1/2 = 0.5
3/4 = 0.75
7/8 = 0.875
5/10 = 0.5

Non-Terminating Decimal

When the denominator does not divide the numerator completely, the decimal continues forever (repeating or non-repeating).

Examples:

1/3 = 0.333... (repeating)
2/3 = 0.666... (repeating)
1/7 = 0.142857142857... (repeating)
5/6 = 0.8333... (repeating)

🎯 Decimal Types Quiz

Note: If the denominators of the rational numbers have a multiples of 2 or 5, then that numbers are terminating decimal number.
If there are numbers other than 2 and 5 in the denominator of the rational number, then that numbers are non-terminating recurring decimal number.

Drag each fraction to the correct category!

Terminating Decimals

Non-Terminating Decimals

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