Understanding Equivalent Fractions on a Number Line

The video tutorial explains how to determine the equivalence of fractions with denominators of 10 and 100 using a number line. It addresses common misconceptions, such as assuming a larger denominator means a larger fraction. The lesson demonstrates how fractions at the same point on a number line are equivalent and provides examples using number lines divided into 10 and 100 segments.

What is the main goal of the lesson discussed in the video?

• To understand how to multiply fractions.

• To compare fractions with different numerators.

• To show that fractions with denominators of 10 and 100 are equivalent using a number line.

• To learn how to add fractions.

Which fractions are equivalent on a number line?

• Fractions with different denominators.

• Fractions that are greater than one.

• Fractions that occupy the same point on a number line.

• Fractions with different numerators.

What is a common mistake students make when comparing fractions?

• Assuming fractions with larger denominators are larger.

• Assuming fractions with the same denominators are different.

• Assuming fractions with larger numerators are smaller.

• Assuming fractions with the same numerators are equivalent.

How is a number line divided to show fractions with a denominator of 10?

• Into 5 equal segments.

• Into 20 equal segments.

• Into 15 equal segments.

• Into 10 equal segments.

What does 10 tenths represent on a number line?

• A quarter of a whole.

• Two wholes.

• One whole.

• Half of a whole.

How is a number line divided to show fractions with a denominator of 100?

• Into 75 equal segments.

• Into 100 equal segments.

• Into 50 equal segments.

• Into 25 equal segments.

What is equivalent to 40 one hundredths on a number line?

• Four tenths.

• Six tenths.

• Eight tenths.

• Two tenths.

What is the equivalent of 100 one hundredths?

• Three wholes.

• Two wholes.

• One whole.

• Half of a whole.

Which of the following is equivalent to one tenth?

• 10 one hundredths.

• 20 one hundredths.

• 30 one hundredths.

• 40 one hundredths.

What is the equivalent of 10 tenths?

• One whole.

• Half of a whole.

• Two wholes.

• Three wholes.