Comparing and Ordering Rational Numbers

This video tutorial covers the basics of comparing and ordering rational numbers, including integers, fractions, and decimals. It explains how to use a number line to understand the position of positive and negative numbers and demonstrates the use of comparison symbols like less than, greater than, and equal to. The tutorial also guides on converting fractions to decimals for easier comparison and ordering of numbers from least to greatest or greatest to least.

Where would you place 1.5 on a number line?

• Between 2 and 3

• Between -1 and 0

• Between 0 and 1

• Between 1 and 2

Which of the following is true about negative numbers compared to positive numbers?

• Negative numbers are always larger

• Negative numbers are always smaller

• Negative numbers are equal to positive numbers

• Negative numbers are sometimes larger

What symbol represents 'less than'?

• >

• =

• <

• ≥

When comparing -1.4 and -1.25, which is smaller?

• Cannot be determined

• They are equal

• -1.25

• -1.4

How can you make two numbers with different decimal places comparable?

• Add zeros to the number with fewer decimal places

• Remove decimals from both numbers

• Convert both to fractions

• Add ones to the number with fewer decimal places

What is the decimal equivalent of 3/4?

• 0.5

• 0.75

• 1.25

• 0.25

How do you convert a fraction to a decimal?

• Subtract the denominator from the numerator

• Add the numerator and the denominator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

Which of the following is the correct order from least to greatest: -2.88, -2.88 (repeating), -2.46?

• -2.88 (repeating), -2.46, -2.88

• -2.46, -2.88, -2.88 (repeating)

• -2.88 (repeating), -2.88, -2.46

• -2.88, -2.88 (repeating), -2.46

What should you do first when ordering mixed types of numbers?

• Remove all decimals

• Add zeros to all numbers

• Convert all numbers to fractions

• Convert all numbers to decimals

When ordering numbers from greatest to least, which type of number should you start with?

• The smallest positive number

• The largest positive number

• The smallest negative number

• The largest negative number