Rational Numbers on a Number Line - Part 3 | Don't Memorise

TL;DR

This video demonstrates how to plot rational numbers with numerators greater than denominators on a number line.

Transcript

In this video, we will try to plot Rational numbers whose numerators are greater than their denominators. Let us plot '7 by 4' and 'minus 7 by 4'. We try to plot '7 by 4' first. The first step in such kind of problems, where the numerator is greater than the denominator is to convert it into a mixed fraction form. You would have learned this in you... Read More

Key Insights

• 😑 Rational numbers with numerators greater than denominators can be expressed as mixed fractions.
• #️⃣ The whole number part of a mixed fraction indicates the position of the rational number on the number line.
• 🥳 The denominator of the proper fraction part determines the number of equal parts the segment is divided into.
• #️⃣ The numerator of the proper fraction part determines the number of parts from the first whole number to mark the rational number on the number line.
• #️⃣ Negative rational numbers are plotted to the left of the corresponding whole numbers on the number line.

Questions & Answers

Q: How do you convert a rational number with a numerator greater than the denominator into mixed fraction form?

To convert such a rational number, divide the numerator by the denominator, obtaining a quotient and remainder. Write the mixed fraction as "quotient remainder by divisor."

Q: What does the whole number part of the mixed fraction represent in plotting rational numbers?

The whole number part indicates the position of the rational number on the number line. For example, if the whole number part is 1, the rational number is between 1 and 2 on the number line.

Q: How do you determine the number of equal parts the segment is divided into?

The denominator of the proper fraction part indicates the number of equal parts the segment is divided into. For example, if the denominator is 4, divide the segment into four equal parts.

Q: How do you mark the rational number on the number line based on the proper fraction part?

The numerator of the proper fraction tells you the number of parts from the first whole number. Mark the rational number on the number line by counting the specified number of parts from the whole number.

Summary & Key Takeaways

• The video explains how to convert rational numbers with numerators greater than denominators into mixed fraction form.

• It demonstrates how to determine the position of the rational number on the number line using the whole number part of the mixed fraction.

• The video also shows how to divide the segment and mark the rational number based on the denominators and numerators of the proper fraction part.