Converting Fractions to Decimals

In this video, Mr. J explains how to convert the fraction 2/3 into a decimal. The process involves dividing the numerator by the denominator, resulting in a repeating decimal of 0.6. Mr. J demonstrates the division process, identifies the repeating pattern, and discusses how to represent repeating decimals with a bar notation. He also covers rounding the decimal to different places for approximation. The video concludes with a summary of the methods for converting fractions to decimals.

What is the first step in converting a fraction to a decimal?

• Add the numerator and the denominator

• Subtract the denominator from the numerator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

When dividing 2 by 3, what do you do when you can't divide the whole number?

• Add a decimal and a zero

• Multiply by 10

• Subtract 1 from the numerator

• Add 1 to the denominator

What is the result of 20 divided by 3 in the division process?

• 5

• 6

• 7

• 8

What pattern emerges when converting 2/3 to a decimal?

• The decimal alternates

• The decimal terminates

• The decimal repeats

• The decimal increases

How is a repeating decimal represented?

• With a bar above the repeating digit

• With a star next to the repeating digit

• With a dot above the repeating digit

• With a circle around the repeating digit

What is one way to handle a repeating decimal besides using a bar notation?

• Ignore the repeating part

• Round the decimal

• Divide the decimal

• Multiply the decimal

To which place value is 2/3 rounded in the example?

• Tenths and hundredths

• Tenths and thousandths

• Hundredths and thousandths

• Hundredths and ten-thousandths

What is the approximate value of 2/3 when rounded to the tenths place?

• 0.8

• 0.6

• 0.5

• 0.7

What is the approximate value of 2/3 when rounded to the hundredths place?

• 0.66

• 0.68

• 0.65

• 0.67

What is the main topic covered in the video?

• Adding fractions

• Subtracting decimals

• Multiplying fractions

• Converting fractions to decimals