Understanding Terminating and Repeating Decimals

The video tutorial explains how to determine if a fraction's decimal form is terminating or repeating. It introduces the concept that a fraction's decimal form will terminate if its denominator can be expressed as a product of only twos and fives. Otherwise, the decimal form will repeat. The tutorial provides examples with different denominators, demonstrating how to use prime factorization to categorize the fractions into terminating or repeating decimals.

What is the main question addressed in this video tutorial?

• How to determine if a fraction has a terminating or repeating decimal

• How to add fractions

• How to multiply fractions

• How to simplify fractions

According to the rule explained, when will a fraction's decimal form terminate?

• When the denominator is a product of only twos and fives

• When the fraction is a mixed number

• When the fraction is improper

• When the numerator is a prime number

What is the significance of a denominator being a product of only twos and fives?

• It indicates the fraction is a mixed number

• It indicates the fraction is improper

• It indicates the decimal will terminate

• It indicates the decimal will repeat

If a fraction's denominator is 25, what can be said about its decimal form?

• It will be a mixed number

• It will terminate

• It will be improper

• It will repeat

What is the result of a fraction with a denominator of 20?

• Repeating decimal

• Terminating decimal

• Improper fraction

• Mixed number

What is the prime factorization of the denominator 7?

• 5 * 5

• 2 * 5

• 2 * 3

• 7

Why does the fraction with a denominator of 7 have a repeating decimal?

• Because 7 is a composite number

• Because 7 is an even number

• Because 7 is a prime number not composed of twos and fives

• Because 7 is a product of twos and fives

Which of the following denominators will result in a repeating decimal?

• 8

• 10

• 4

• 7

What is the prime factorization of the denominator 4?

• 2 * 2

• 3 * 3

• 2 * 5

• 5 * 5

Why does the fraction with a denominator of 4 have a terminating decimal?

• Because 4 is a product of only twos

• Because 4 is a prime number

• Because 4 is an odd number

• Because 4 is a composite number