Converting Fractions to Decimals

The video tutorial covers finite and infinite decimals, focusing on converting fractions to decimals without using long division. It explains the difference between terminating and repeating decimals, introduces bar notation, and demonstrates how prime factorization can predict whether a decimal will terminate or repeat. The tutorial also presents a method to convert fractions into decimals by transforming the denominator into a power of ten, allowing for conversion through multiplication rather than division.

What is the main focus of the lesson on finite and infinite decimals?

• Understanding complex numbers

• Solving algebraic equations

• Learning long division

• Converting fractions to decimals without long division

Which of the following is a terminating decimal?

• 3.14159...

• 0.090909...

• 0.5

• 0.333...

How can repeating decimals be represented?

• Using a fraction

• With a bar notation

• As a whole number

• With a percentage

What determines if a fraction will terminate or repeat when converted to a decimal?

• The size of the fraction

• The prime factorization of the denominator

• The method of conversion

• The numerator

If the prime factorization of a denominator contains only 2s and 5s, what will the decimal do?

• Convert to a fraction

• Become irrational

• Terminate

• Repeat forever

What is the first step in the new method for converting fractions to decimals?

• Divide the numerator by the denominator

• Factor the denominator into prime factors

• Add the numerator and denominator

• Multiply the fraction by 10

In the new method, what is the goal of creating a power of 10 in the denominator?

• To convert the fraction to a decimal without division

• To make division easier

• To simplify the fraction

• To increase the fraction's value

What is the result of converting 1/4 using the new method?

• 1.0

• 0.75

• 0.5

• 0.25

Which of the following fractions will terminate when converted to a decimal?

• 5/8

• 3/7

• 7/9

• 11/13

What is the decimal equivalent of 2/25 using the new method?

• 0.04

• 0.02

• 0.08

• 0.06