Exploring Terminating and Repeating Decimals

This lesson covers the concepts of terminating and repeating decimals. It begins with an introduction to these types of decimals, followed by a demonstration of converting the fraction 1/2 into a decimal, which results in a terminating decimal. The lesson then explores converting 2/3 into a decimal, illustrating the concept of repeating decimals. Finally, it discusses how to round repeating decimals to the nearest hundredths, providing a comprehensive understanding of these mathematical concepts.

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

• Divide the numerator by the denominator

• Multiply the fraction by 10

• Subtract the numerator from the denominator

• Add a decimal point and zeros

How many times does 2 go into 10 when converting 1/2 to a decimal?

• 5 times

• 4 times

• 10 times

• 2 times

What is the decimal representation of 1/2?

• 1.5

• 0.5

• 0.25

• 0.75

When converting 2/3 to a decimal, what is the first step after placing the decimal and zeros?

• Round the decimal to the nearest hundredth

• Bring the decimal point straight up

• Multiply the fraction by 10

• Subtract the numerator from the denominator

How many times does 3 go into 20 when converting 2/3 to a decimal?

• 8 times

• 6 times

• 5 times

• 7 times

What is the repeating decimal representation of 2/3?

• 0.666

• 0.66

• 0.67

• 0.666...

How can you indicate that a decimal is repeating?

• By subtracting the repeating digit

• By placing a line over the repeating digit

• By rounding it to the nearest hundredth

• By adding more zeros

What is the rounded form of 0.666... to the nearest hundredth?

• 0.69

• 0.68

• 0.66

• 0.67