Like & Unlike Decimals + Comparing & Ordering of Decimals

Math is anywhere, and decimals are one of the coolest parts of numbers. When you learn about like and unlike decimals and the way to do comparing and ordering decimals, you can understand many things around you, like cash, time, and measurements. This manual will explain the entirety definitely with easy examples and fun facts, only for you!

Table of Contents

• What Are Decimals in Math?

• Why Decimals Are Important in Everyday Life

• How Comparing and Ordering Decimals Helps You Think Better

• Types of Decimal

• Like and Unlike Decimals

• How to Compare Decimal Numbers?

• Comparing and Ordering Decimals

• Difference Between Like and Unlike Decimals

• Why Is Comparing and Ordering Decimals Important?
  

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What Are Decimals in Math? 

Let’s begin with the query, what are decimals in math?

Decimals are numbers with a special dot known as a decimal point. This dot separates the quantity into two components:

• The part earlier than the decimal factor suggests complete numbers (like 1, 2, or 10).

• The part after the decimal factor indicates elements smaller than one complete (fractions written in a special way).

 

For example, take a look at the quantity 4.25:

• The 4 is the whole wide variety element.

• The .25 is the decimal part, which means 25 hundredths, or a quarter (one-fourth).

So, decimals help us show numbers that are not entire, like when you have less than one entire thing.

 

You see decimals all of the time:

• When you buy candy for $1.75.

• When you measure your top as four.6 feet.

• When a race time is 12.34 seconds.
  

The decimals definition is easy: decimals are numbers written with a decimal point to show components less than one.

 

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Why Decimals Are Important in Everyday Life

Decimals are numbers that assist us display elements of an entire, and they're very beneficial in many things we do each day. You may not even recognize how frequently you use decimals!

Take cash, for example. When you buy something from a shop, expenses are not continually entire numbers like 1 or 2. They regularly have decimals, like $1.75 or Rs. 5.Ninety nine. The numbers after the decimal factor tell us the smaller elements, like cents or paise. This is critical due to the fact even a little difference can count. If you save 25 paise every day, after a month you may have saved a terrific quantity!

Decimals also assist while we measure things. For instance, if your top is 4.6 toes, or if you measure 2.35 meters of material, decimals give us more genuine answers than just whole numbers. This allows us to avoid mistakes while cooking, building, or buying.

In sports activities, decimals assist us with time races and games very cautiously. Sometimes, the winner is decided by way of a tiny difference like zero.01 seconds! So decimals assist make certain the whole thing is truthful and specific.

Even scientists and engineers use decimals once they measure things or build machines. Learning decimals allow you to apprehend many interesting things and maybe even turn out to be a scientist or engineer at some point!

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How Comparing and Ordering Decimals Helps You Think Better

When you discover ways to evaluate decimals, you exercise paying attention to small info. For example, in case you need to discover which price is cheaper among Rs. 5.Ninety nine and Rs. 6.00, you appear intently at the numbers after the decimal point. This helps you make clever alternatives whilst shopping for matters.

Ordering decimal manners, setting numbers in order from smallest to biggest or the opposite way round. This allows you to organize things better, like sorting your game rankings or arranging books via length.

These talents additionally help you solve issues in actual life. For instance, if you need to discover the shortest distance in your friend’s residence, you can examine decimals to decide which manner is closer. Or whilst you plan how to spend your pocket money, you can examine prices to shop for the exceptional matters.

Learning about decimals additionally makes you assured in math. When you understand decimals, you may study other math subjects greater without difficulty, like fractions and chances.

Sometimes decimals can look intricate, but practising helps you be affected person and careful. These are excellent abilties that will help you in school and in normal lifestyles.

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Types of Decimal

There are exceptional kinds of decimal numbers, and knowing them will help you apprehend math higher.

1. Terminating Decimals

These decimals end after a few digits. They forestall and don’t go on for all time.

 Examples:

• 0.5 (that is 5 tenths)

• 3.75 (that is 3 and 75 hundredths)

• 6.2 (that's 6 and 2 tenths)
  

 

2. Non-Terminating Decimals

These decimals never forestall! They cross on and on without ending.

 Examples:

• 0.3333... (in which the 3 repeats forever)

• 3.14159265... (the well-known number pi)

3. Repeating Decimals

A special type of non-terminating decimals where some digits repeat over and over.

Example:

• 0.6666... (the 6 repeats all the time)

• 1.121212... (the sample 12 repeats)

Understanding those sorts helps us when we start comparing and ordering decimals because a few decimals are easy to work with and others are trickier! 

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Like and Unlike Decimals

When we need to do  comparing and ordering decimals, it’s critical to realize about like and not like decimals.

What is  Like Decimals?

 

 

Like decimals have the equal number of digits after the decimal factor.

 For example:

• 4.50 and 3.25 each have two digits after the decimal.

• 1.333 and 2.222 each have three digits after the decimal.

 

What is Unlike Decimals?

 

Unlike decimals have specific numbers of digits after the decimal factor.

 For example:

• 3.5 (one digit after the decimal) and 3.75 (two digits after the decimal).

• 4.12 and four.123 (two digits vs 3 digits).
  

Knowing this difference enables you to examine or order decimals due to the fact you could make decimals into like decimals by means of adding zeros on the end.

For instance, make  3.5 and 3.75  like decimals with the aid of writing  3.50 and 3.75.. Now, both have  digits after the decimal point, so they are like decimals.

How to Compare Decimal Numbers?

Sometimes decimals may be confusing, however don’t worry! We have a easy manner to discern which decimal is larger or smaller. This is called how to evaluate decimal numbers.

Here are the steps:

Step 1: Look at the complete wide variety part

Check the variety before the decimal factor. If one is larger, then that range is greater basic.

 For example:

• Compare 5.3 and 3.9 → 5 is greater than three, so 5.3 is bigger.

 

Step 2: If the complete numbers are identical, study the digits after the decimal point

For example:

• Compare 3.5 and 3.75 → The whole numbers are the identical (3), so study digits after the decimal.
  

 

Step 3: Make decimals like decimals with the aid of adding zeros

Add zeros to make both decimals have the identical range of digits after the decimal.

 For Example:

3.5 turns into 3.50 (to fit two digits after decimal in three.75)

Step four: Compare digits from left to right after the decimal factor

Compare 50 and 75 → when you consider that seventy five > 50, 3.Seventy five is bigger than 3.50.

Remember this simple manner of the way to compare decimal numbers allows plenty when comparing and ordering decimals.

 

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Comparing and Ordering Decimals

Now that you recognise how to evaluate decimals, let's look at evaluating and ordering decimals collectively.

What Does It Mean?

• Comparing decimals means finding out which decimal is greater, smaller, or if  decimals are the same.

• Ordering decimals method arranging decimals so as from smallest to biggest (ascending) or biggest to smallest (descending).

 

Why Do We Need This?

You want to recognise which number is greater or smaller when handling money, measurements, rankings, and lots of other matters.

 

Step-by means of-Step Process of Comparing and Ordering Decimals

• Make decimals like decimals with the aid of including zeros.
  For example: compare 2.4, 2.35, and a couple of.405.

• Make all decimals have the identical quantity of digits (3 digits right here):
  2.400, 2.350, 2.405

• Compare the whole number element first.
  All have 2 as a complete wide variety, so they are the same here.

• Compare digits after the decimal factor from left to right.

 

For 2.400, the digits after decimal are 400.

• For 2.350, digits are 350.
  
• For 2.405, digits are 405.

 

Put them in order:

2.350 < 2.400< 2.405

 So, the order from smallest to biggest is two.35, 2.4, 2.405.

 

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Difference Between Like and Unlike Decimals

To make certain you in no way get stressed, remember the difference among like and unlike decimals:

 

Before evaluating and ordering decimals, if the decimals are unlike, cause them to like decimals via adding zeros to the shorter one.

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Real-Life Examples to Understand Decimals Better

Here are some fun, actual-life examples to see how evaluating and ordering decimals assist you in everyday life!

 

Example 1: Grocery Shopping

 

 

You buy apples for $2.35, bananas for $1.50, and grapes for $2.75.

 Which one is the most inexpensive and which one is the maximum expensive?

 To discover, you use comparing and ordering decimals.

Order: $1.50 < $2.35 < $2.75

 Bananas are cheapest, grapes are costly.

 

Example 2: Bus Arrival Times

 

 

The college bus arrives at unique instances on distinctive days:

• Monday: 7.15 AM

• Tuesday: 7.05 AM

• Wednesday: 7.25 AM

 Using comparing and ordering decimals, you locate:

• 7.05 < 7.15 < 7.25

 Tuesday's bus got here earliest.

 

Example 3: Cake Weights

 

 

You baked 3 cakes weighing:

• Chocolate: 1.25 kg

• Vanilla: 1.15 kg

• Strawberry: 1.35 kg

 Use the way to evaluate decimal numbers to discover the lightest.

• 1.15 < 1.25 < 1.35

 Vanilla cake is the lightest.

Example 4: Toy Prices

 

 

You need to buy a toy:

• Robot:  Rs.5.99

• Puzzle: Rs. 6.00

• Car: Rs 5.95

 Use comparing and ordering decimals:

$5.95 < 5.99 < $6.00

 Cars are the cheapest.

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Fun Facts About Decimals

Learning decimals is amusing! Here are a few cool facts:

• The word "decimal" comes from the Latin word "decimus," which means that “10th.”

• The decimal machine is used international in money and measurements.

• The number π (pi) is a decimal that never ends or repeats!

• Long ago, human beings used best fractions earlier than decimals have been invented.

• Calculators spherical decimals because they can’t show countless digits.

• In sports, decimals help judges provide specific rankings (like gymnastics).

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Why Is Comparing and Ordering Decimals Important?

You use evaluating and ordering decimals in many methods every day! Whether you're:

• Shopping for the nice price

• Measuring substances for a recipe

• Timing your run or race

• Reading your grades

• Saving money

Decimals make these things extra correct. Knowing a way to examine and order them is a tremendous beneficial talent.

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Things You Have Learnt!

Wow! Now you realize so much approximately decimals. Let’s evaluate:

• You found out what decimals are in math and the easy decimals: definition.

• You found extraordinary styles of decimal numbers.

• You understood the distinction between like and unlike decimals.

• You mastered the way to evaluate decimal numbers step-through-step.

• You recognize how to compare and order decimals to put decimals in order.

• Real-life examples showed you how decimals are counted in day by day lifestyles.

• Fun facts made decimals even extra exciting.

Next time you see decimals, do not forget how clean it is to examine and organize them. You’re now equipped to solve decimal troubles quickly!

Keep working towards it, and decimals turn into your math pals forever!

 

Practice Questions : 

Q1. Convert the following decimals to like decimals: 5.3, 2.45, 7.8, and 0.67.

Ans: 5.300, 2.450, 7.800, and 0.670.

Q2. Compare the following decimals:

2.45 or 2.5

Ans: 2.5

Q3. Change the following unlike decimals into like decimals: 3.1, 15.789, 2.4, and 0.56.

Ans: 3.1000, 15.7890, 2.4000, and 0.5600.

Q4. Identify and separate the following as like and unlike decimals:

6.2, 3.78, 4.05, 12.345, and 0.9.

Ans:

• Like Decimals:

  • With one decimal place: 6.2 and 0.9.

  • With two decimal places: 3.78 and 4.05.

   

• Unlike Decimals:

  • 6.2, 3.78, 4.05, 12.345, and 0.9.

   

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FAQs : 

1. What are like and unlike decimals?

Like decimals are decimals that have the same number of decimal places. For example, 2.30 and 3.45 are like decimals because both have two decimal places. Unlike decimals have a different number of decimal places. For instance, 2.3 and 2.345 are unlike decimals because one has one decimal place and the other has three.

2. Can you give examples of like decimals?

Yes, here are some like decimals examples: 1.25, 2.75, and 3.10. All these decimals have two places after the decimal point, making them like decimals.

3. How do you convert unlike decimals to like decimals?

To convert unlike decimals to like decimals, you need to add zeroes to the end of the decimals to make them have the same number of decimal places. For example, to convert 2.3 and 2.345 into like decimals, you can write them as 2.300 and 2.345.

4. How do you order decimals from least to greatest?

When ordering decimals from least to greatest, first convert them to like decimals if needed. Then compare the numbers digit by digit from left to right. For example, to order 2.3, 2.35, and 2.305, convert them to 2.300, 2.350, and 2.305, then arrange them as 2.300, 2.305, 2.350.

5. Are 2.30 and 2.03 like decimals?

Yes, 2.30 and 2.03 are like decimals because they both have two decimal places. However, even though they are like decimals, they represent different values.

6. What are some examples of comparing decimals?

Comparing decimals involves looking at the digits from left to right. For instance, to compare 1.45 and 1.456, you first look at the whole number part (1 and 1 are equal), then the tenths place (4 and 4 are equal), and finally, the hundredths place (5 vs. 5). Since 1.456 has an extra digit in the thousandths place, it is greater.

 

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Practice Worksheets

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