Comparing Rational Numbers | 7th grade | Khan Academy

TL;DR

This video explains how to order rational numbers using a number line.

Transcript

• We're told to look at the rational numbers below, order them from least to greatest. They really didn't have to tell us this first sentence, I would have known to look at the rational numbers to order them from least to greatest. Well anyway, they tell us 1/2, negative five, three point three, zero, 21 over 12, negative five point five, and two a... Read More

Key Insights

• #️⃣ Rational numbers can be ordered by creating a number line and placing them at their respective positions.
• #️⃣ Whole numbers provide a reference to place rational numbers between them on the number line.
• #️⃣ Improper fractions can be converted to mixed numbers to ease the process of plotting them on a number line.
• #️⃣ Negative rational numbers are placed to the left of zero on the number line.
• #️⃣ The number line helps visualize the order of rational numbers accurately.
• #️⃣ Understanding the concepts of halves and thirds can assist in plotting rational numbers more precisely.
• #️⃣ Simplifying fractions can make ordering rational numbers easier on a number line.

Questions & Answers

Q: How can we order rational numbers using a number line?

To order rational numbers, we can create a number line and place the numbers at their respective positions. This allows us to visualize their order and compare them easily.

Q: How do we plot a rational number on a number line?

To plot a rational number like 1/2, we locate the whole numbers on the number line (0 and 1 in this case) and place the number between them. In this example, 1/2 would be placed between 0 and 1.

Q: How can we order negative rational numbers?

Negative rational numbers can be ordered in the same way. For example, to order -5, we would place it to the left of 0, between -6 and -4 on the number line.

Q: How do we plot an improper fraction on a number line?

To plot an improper fraction like 21/12, we can convert it to a mixed number (1 9/12) for better visualization. Then, we place the mixed number on the number line by plotting the whole number and the fraction separately.

Summary & Key Takeaways

• The video teaches how to order rational numbers by creating a number line and placing the numbers in their respective positions.

• The narrator uses examples of rational numbers like 1/2, -5, 3.3, 0, 21/12, -5.5, and 2 1/8, to demonstrate the process.

• By plotting the numbers on the number line, it becomes easy to compare and order them.