Understanding Rational Numbers on the Number Line

The video tutorial explains how to represent rational numbers on a number line using two methods: fraction representation and decimal conversion. It provides examples and practice exercises to help understand the concepts. The tutorial also covers identifying consecutive integers for given rational numbers, emphasizing the importance of understanding rational numbers in mathematics.

What is a rational number?

• A number that is always negative

• A number that is always positive

• A number that cannot be written as a fraction

• A number that can be written as a fraction

In the first method, what does the denominator of the fraction represent?

• The decimal equivalent

• The total number of parts the whole is divided into

• The number of parts taken

• The whole number

How do you determine the position of a fraction like 3/4 on the number line using the first method?

• Divide the segment between 0 and 2 into 4 equal parts and mark the third part

• Divide the segment between 0 and 1 into 4 equal parts and mark the third part

• Divide the segment between 0 and 2 into 3 equal parts and mark the fourth part

• Divide the segment between 0 and 1 into 3 equal parts and mark the fourth part

What is the first step in the second method of representing rational numbers on the number line?

• Find the midpoint of the number line

• Divide the number line into equal parts

• Convert the fraction to a decimal

• Mark the whole numbers first

How do you convert the fraction 3/4 to a decimal?

• Multiply 3 by 4

• Divide 3 by 4

• Subtract 4 from 3

• Add 3 and 4

When representing -3/5 on the number line, which side of zero will it be placed?

• It depends on the numerator

• At zero

• Right side

• Left side

How do you determine the position of -11/5 on the number line using the first method?

• Divide the segment between -2 and -3 into 5 equal parts and mark the eleventh part

• Divide the segment between -2 and -3 into 11 equal parts and mark the fifth part

• Divide the segment between -2 and -3 into 11 equal parts and mark the second part

• Divide the segment between -2 and -3 into 5 equal parts and mark the first part

What is the decimal equivalent of -11/5?

• -2.2

• -1.2

• -2.5

• -1.5

Between which two integers does -12.8 lie?

• -11 and -10

• -13 and -12

• -14 and -13

• -12 and -11

Between which two integers does 1.57 lie?

• 1 and 2

• 1 and 1.5

• 2 and 3

• 0 and 1