Comparing and Ordering Decimals

This video tutorial teaches students how to compare and order decimal numbers. It begins with an explanation of equivalent decimals, showing how numbers like 0.7, 0.70, and 0.700 are equivalent. The tutorial then distinguishes between like and unlike decimals, providing methods to convert unlike decimals into like decimals by adding zeros. The video further explains how to compare decimal numbers by converting them into like decimals and comparing their integral and decimal parts. Finally, it presents an advanced example to reinforce the concepts of comparing and ordering decimals.

Which of the following sets of decimals are equivalent?

• 0.8, 0.88, 0.888

• 0.3, 0.33, 0.333

• 0.5, 0.50, 0.500

• 0.1, 0.11, 0.111

What is the term for decimals that have the same number of decimal places?

• Unlike decimals

• Like decimals

• Equivalent decimals

• Fractional decimals

Which of the following is an example of unlike decimals?

• 5.1, 6.12, 7.123

• 1.23, 4.56, 7.89

• 2.5, 3.5, 4.5

• 8.0, 9.0, 10.0

How can you convert unlike decimals into like decimals?

• By adding zeros to the left of the decimal

• By removing zeros from the decimal

• By changing the decimal point position

• By adding zeros to the right of the decimal

Which decimal has the maximum number of decimal places: 4.1, 12.34, or 6.345?

• All have the same

• 6.345

• 12.34

• 4.1

What is the first step in comparing decimal numbers?

• Compare the decimal parts

• Convert unlike decimals into like decimals

• Add zeros to the decimals

• Compare the integral parts

When comparing decimals, what should you do if the integral parts are the same?

• Compare the decimal parts

• Ignore the decimals

• Add more zeros

• Convert to fractions

In the example given, which decimal is the largest: 0.790, 0.777, or 0.700?

• 0.700

• 0.777

• All are equal

• 0.790

What is the ascending order of the decimals: 0.7, 0.777, 0.79?

• 0.777, 0.7, 0.79

• 0.7, 0.777, 0.79

• 0.7, 0.79, 0.777

• 0.79, 0.777, 0.7

What is the descending order of the decimals: 0.7, 0.777, 0.79?

• 0.79, 0.777, 0.7

• 0.7, 0.79, 0.777

• 0.777, 0.7, 0.79

• 0.7, 0.777, 0.79