Locating Positive Rational Numbers on a Number Line

This lesson teaches how to locate positive rational numbers on a number line. It covers ordering decimals and fractions, converting between them, and using strategies to position numbers. The lesson also discusses positioning without conversion and provides examples to illustrate these concepts.

What is a common mistake when dealing with decimals and fractions on a number line?

• Assuming they cannot be converted

• Believing they are always greater than integers

• Considering them as negative numbers

• Thinking they represent different points

Which strategy involves converting all numbers to decimals?

• Converting all to decimals

• Using a vertical number line

• Converting all to fractions

• Leaving numbers unchanged

When might it be easier to leave a fraction unsimplified?

• When the fraction is 8/10

• When the fraction is 5/6

• When the fraction is 1/2

• When the fraction is 3/4

What is a benefit of positioning numbers without conversion?

• It works only for integers

• It is easier to compare numbers

• It requires less calculation

• It is always more accurate

Which number is closest to 9 in the given example?

• 8 and 3/20

• 8 and 7/10

• 8 and 95 hundredths

• 8 and 2/5