Terminating vs. Repeating Decimals

Front

What is a repeating decimal?

Back

A decimal that has one or more digits that repeat infinitely.

Front

What is a terminating decimal?

Back

A decimal that has a finite number of digits after the decimal point.

Front

Is 44/99 a terminating or repeating decimal?

Back

Repeating decimal.

Front

What is the decimal equivalent of 9/20?

Back

0.45

Front

What is 6/10 in decimal form?

Back

0.6

Front

What is the decimal representation of \( \frac{1}{111} \)?

Back

0.009

Front

How can you identify a repeating decimal from a fraction?

Back

If the denominator has prime factors other than 2 or 5, the decimal will be repeating.

Front

What is the decimal equivalent of \( \frac{1}{3} \)?

Back

0.333... (repeating decimal).

Front

What is the decimal equivalent of \( \frac{1}{4} \)?

Back

0.25 (terminating decimal).

Front

What is the difference between terminating and repeating decimals?

Back

Terminating decimals have a finite number of digits, while repeating decimals have digits that continue infinitely in a pattern.