3 added
3 removed
Original
2026-01-01
Modified
2026-02-28
1
-
<p>253 Learners</p>
1
+
<p>303 Learners</p>
2
<p>Last updated on<strong>December 10, 2025</strong></p>
2
<p>Last updated on<strong>December 10, 2025</strong></p>
3
<p>The word “terminate” comes from Latin and means to bring to an end. Terminating decimals are decimal numbers that end after a certain number of digits. In short, the numbers after the decimal point will be finite or terminating.</p>
3
<p>The word “terminate” comes from Latin and means to bring to an end. Terminating decimals are decimal numbers that end after a certain number of digits. In short, the numbers after the decimal point will be finite or terminating.</p>
4
<h2>What is a Terminating Decimal?</h2>
4
<h2>What is a Terminating Decimal?</h2>
5
<p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
5
<p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
6
<p>▶</p>
6
<p>▶</p>
7
<p>A terminating<a>decimal</a>is a decimal<a>number</a>that knows when to stop! It doesn’t go on forever, it has a clear ending. Think about counting your candies. You start counting: 1, 2, 3 and then you stop because you’ve finished counting. That’s precisely how a terminating decimal works, it has a definite end.</p>
7
<p>A terminating<a>decimal</a>is a decimal<a>number</a>that knows when to stop! It doesn’t go on forever, it has a clear ending. Think about counting your candies. You start counting: 1, 2, 3 and then you stop because you’ve finished counting. That’s precisely how a terminating decimal works, it has a definite end.</p>
8
<p>For example, when you divide 1 by 2, you get 0.5, which stops right after one digit. If you divide 1 by 4, you get 0.25, which also ends in 0. When you divide 1 by 8, you get 0.125, and it stops after three digits. Numbers like 2.75 and 3.6 also end after a few digits, with no repeating or going on forever.</p>
8
<p>For example, when you divide 1 by 2, you get 0.5, which stops right after one digit. If you divide 1 by 4, you get 0.25, which also ends in 0. When you divide 1 by 8, you get 0.125, and it stops after three digits. Numbers like 2.75 and 3.6 also end after a few digits, with no repeating or going on forever.</p>
9
<h2>What is a Non-Terminating Decimal?</h2>
9
<h2>What is a Non-Terminating Decimal?</h2>
10
<p>A non-terminating decimal is a decimal that never ends, the numbers after the decimal point keep going on forever!</p>
10
<p>A non-terminating decimal is a decimal that never ends, the numbers after the decimal point keep going on forever!</p>
11
<p>There are two types<a>of</a><a>non-terminating decimals</a>:</p>
11
<p>There are two types<a>of</a><a>non-terminating decimals</a>:</p>
12
<p><strong>Non-Terminating Recurring Decimals:</strong>Decimals in which a certain number repeats forever. For example, if you divide 1 by 3, you get 0.3333, with the number 3 repeating infinitely.</p>
12
<p><strong>Non-Terminating Recurring Decimals:</strong>Decimals in which a certain number repeats forever. For example, if you divide 1 by 3, you get 0.3333, with the number 3 repeating infinitely.</p>
13
<p><strong>Non-Terminating Non-Recurring Decimals:</strong>These decimals go on forever, too, but the digits don’t repeat in any pattern. A well-known example is π (pi), which starts as 3.1415926535 and never repeats any numbers.</p>
13
<p><strong>Non-Terminating Non-Recurring Decimals:</strong>These decimals go on forever, too, but the digits don’t repeat in any pattern. A well-known example is π (pi), which starts as 3.1415926535 and never repeats any numbers.</p>
14
<h2>How to Identify a Terminating Decimal?</h2>
14
<h2>How to Identify a Terminating Decimal?</h2>
15
<p>You can determine whether a decimal number is terminating by checking the following conditions: </p>
15
<p>You can determine whether a decimal number is terminating by checking the following conditions: </p>
16
<ul><li>The terminating decimal will always have finite numbers after the decimal point. That means the number will stop after some digits. </li>
16
<ul><li>The terminating decimal will always have finite numbers after the decimal point. That means the number will stop after some digits. </li>
17
<li>All<a>terminating decimals</a>are<a>rational numbers</a>. </li>
17
<li>All<a>terminating decimals</a>are<a>rational numbers</a>. </li>
18
<li>Fractions that have<a>denominators</a>in the form \(2m \times 5n \), If m and n are non-negative<a>integers</a>, the decimal terminates. </li>
18
<li>Fractions that have<a>denominators</a>in the form \(2m \times 5n \), If m and n are non-negative<a>integers</a>, the decimal terminates. </li>
19
<li>If the<a>denominator</a>of a<a>fraction</a>is in the form of 2m × 5n, where m and n are<a>positive integers</a>, then it has a terminating decimal expansion.</li>
19
<li>If the<a>denominator</a>of a<a>fraction</a>is in the form of 2m × 5n, where m and n are<a>positive integers</a>, then it has a terminating decimal expansion.</li>
20
</ul><h3>Explore Our Programs</h3>
20
</ul><h3>Explore Our Programs</h3>
21
-
<p>No Courses Available</p>
22
<h2>Difference between Terminating and Non-Terminating Decimals</h2>
21
<h2>Difference between Terminating and Non-Terminating Decimals</h2>
23
<p>Terminating decimals stop after a specific number of digits, while non-terminating decimals continue infinitely without ever ending. Here’s a simple breakdown:</p>
22
<p>Terminating decimals stop after a specific number of digits, while non-terminating decimals continue infinitely without ever ending. Here’s a simple breakdown:</p>
24
Terminating Decimals Non-Terminating Decimals Terminating decimals are those that end after a specific number of digits. Examples: 0.25, 1.5, 0.75 Non-terminating decimals go on forever without ever ending. Examples: 0.3333, 3.14159, 0.666 The decimal stops after a<a>set</a>point, with no digits following. The decimal keeps going infinitely and never stops; it’s an endless pattern! There’s an endpoint once it finishes, it’s done. There’s no endpoint; it continues indefinitely. Always has an endpoint. Example: 1/4 = 0.25, 1/2 = 0.5, 11/4 = 2.75 Has no endpoint, but may use special notation (e.g, 1/3 = 0.333, π = 3.14159)<h2>Tips and Tricks to Master Terminating Decimal</h2>
23
Terminating Decimals Non-Terminating Decimals Terminating decimals are those that end after a specific number of digits. Examples: 0.25, 1.5, 0.75 Non-terminating decimals go on forever without ever ending. Examples: 0.3333, 3.14159, 0.666 The decimal stops after a<a>set</a>point, with no digits following. The decimal keeps going infinitely and never stops; it’s an endless pattern! There’s an endpoint once it finishes, it’s done. There’s no endpoint; it continues indefinitely. Always has an endpoint. Example: 1/4 = 0.25, 1/2 = 0.5, 11/4 = 2.75 Has no endpoint, but may use special notation (e.g, 1/3 = 0.333, π = 3.14159)<h2>Tips and Tricks to Master Terminating Decimal</h2>
25
<p>Identifying terminating decimals can be easy if you know the right tricks. Here are some simple tips to help you quickly recognize and remember them.</p>
24
<p>Identifying terminating decimals can be easy if you know the right tricks. Here are some simple tips to help you quickly recognize and remember them.</p>
26
<ul><li><strong>Check the denominator:</strong>A fraction \(\frac{p}{q} \) has a terminating decimal only if the denominator contains only the<a>prime factors</a>2 and/or 5 (e.g., \(\frac{1}{8} = 0.125, \quad \frac{1}{25} = 0.04 \)). </li>
25
<ul><li><strong>Check the denominator:</strong>A fraction \(\frac{p}{q} \) has a terminating decimal only if the denominator contains only the<a>prime factors</a>2 and/or 5 (e.g., \(\frac{1}{8} = 0.125, \quad \frac{1}{25} = 0.04 \)). </li>
27
<li><strong>Divide and observe:</strong>If a fraction converts into a decimal that stops after a few digits, it is terminating. If it keeps going with a pattern, it is a non-terminating<a>recurring decimal</a>. </li>
26
<li><strong>Divide and observe:</strong>If a fraction converts into a decimal that stops after a few digits, it is terminating. If it keeps going with a pattern, it is a non-terminating<a>recurring decimal</a>. </li>
28
<li><strong>Use prime factorization:</strong>Factorize each denominator and check whether it contains 2 and/or 5 as its factors. If yes, then it is terminating, otherwise it is non-terminating. </li>
27
<li><strong>Use prime factorization:</strong>Factorize each denominator and check whether it contains 2 and/or 5 as its factors. If yes, then it is terminating, otherwise it is non-terminating. </li>
29
<li><strong>Memorize common examples:</strong>Knowing simple terminating decimals can help you recognize patterns. For example, \(\frac{1}{2}, \frac{3}{8}, \frac{1}{4}, \text{etc.} \) </li>
28
<li><strong>Memorize common examples:</strong>Knowing simple terminating decimals can help you recognize patterns. For example, \(\frac{1}{2}, \frac{3}{8}, \frac{1}{4}, \text{etc.} \) </li>
30
<li><strong>Relate to everyday life:</strong>Help kids see how decimals show up in their day-to-day life. For example, if a toy costs $2.75, explain that it’s a terminating decimal because it ends after two decimal places. When they see how<a>math</a>relates to things they already know, like prices at stores, it becomes much easier for them to understand!</li>
29
<li><strong>Relate to everyday life:</strong>Help kids see how decimals show up in their day-to-day life. For example, if a toy costs $2.75, explain that it’s a terminating decimal because it ends after two decimal places. When they see how<a>math</a>relates to things they already know, like prices at stores, it becomes much easier for them to understand!</li>
31
</ul><h2>Common Mistakes of Terminating Decimals and How to Avoid Them</h2>
30
</ul><h2>Common Mistakes of Terminating Decimals and How to Avoid Them</h2>
32
<p>Understanding decimals that terminate is important for students while learning. This is because it makes their calculations easier. However, students often make mistakes in identifying them. Here are five common mistakes that students might make and how to avoid them. </p>
31
<p>Understanding decimals that terminate is important for students while learning. This is because it makes their calculations easier. However, students often make mistakes in identifying them. Here are five common mistakes that students might make and how to avoid them. </p>
33
<h2>Real-Life Applications of Terminating Decimals</h2>
32
<h2>Real-Life Applications of Terminating Decimals</h2>
34
<p>Terminating decimals are not just used in math class, they play an important role in everyday life. From<a>money</a>and measurements to science and sports, these decimals help us make accurate calculations in various real-world situations. </p>
33
<p>Terminating decimals are not just used in math class, they play an important role in everyday life. From<a>money</a>and measurements to science and sports, these decimals help us make accurate calculations in various real-world situations. </p>
35
<ul><li><strong>Money and currency:</strong> Since most countries limit currency values to two decimal places, terminating decimals, like $4.75. $89.5 are commonly used in payments and financial transactions. </li>
34
<ul><li><strong>Money and currency:</strong> Since most countries limit currency values to two decimal places, terminating decimals, like $4.75. $89.5 are commonly used in payments and financial transactions. </li>
36
<li><strong>Measurements:</strong> We represent length, weight, and volumes frequently by terminating decimals such as 2.5 meters, 1.75 liters, 3.2 kilograms respectively. </li>
35
<li><strong>Measurements:</strong> We represent length, weight, and volumes frequently by terminating decimals such as 2.5 meters, 1.75 liters, 3.2 kilograms respectively. </li>
37
<li><strong>Time calculation:</strong>Time is sometimes represented in decimal forms, such as 1.5 hours (1 hour 30 minutes) or 2.75 hours (2 hours 45 minutes), to schedule, work hours, or travel durations. </li>
36
<li><strong>Time calculation:</strong>Time is sometimes represented in decimal forms, such as 1.5 hours (1 hour 30 minutes) or 2.75 hours (2 hours 45 minutes), to schedule, work hours, or travel durations. </li>
38
<li><strong>In medical and science:</strong>In experiments, we use terminating decimals of the required solution or a chemical to give a precise by<a>product</a>. </li>
37
<li><strong>In medical and science:</strong>In experiments, we use terminating decimals of the required solution or a chemical to give a precise by<a>product</a>. </li>
39
<li><strong>Engineering and construction: </strong>We use terminating decimals in dimensions and specifications for construction or manufacturing.</li>
38
<li><strong>Engineering and construction: </strong>We use terminating decimals in dimensions and specifications for construction or manufacturing.</li>
40
-
</ul><h3>Problem 1</h3>
39
+
</ul><h2>Download Worksheets</h2>
40
+
<h3>Problem 1</h3>
41
<p>Is 7/20 a terminating decimal?</p>
41
<p>Is 7/20 a terminating decimal?</p>
42
<p>Okay, lets begin</p>
42
<p>Okay, lets begin</p>
43
<p> \(\frac{7}{20} = 0.35 \) is a terminating decimal.</p>
43
<p> \(\frac{7}{20} = 0.35 \) is a terminating decimal.</p>
44
<h3>Explanation</h3>
44
<h3>Explanation</h3>
45
<p>Let us solve for \(\frac{7}{20} \)</p>
45
<p>Let us solve for \(\frac{7}{20} \)</p>
46
<p>\(\frac{7}{20} = 0.35 \)</p>
46
<p>\(\frac{7}{20} = 0.35 \)</p>
47
<p>The decimal has ended after two digits. </p>
47
<p>The decimal has ended after two digits. </p>
48
<p>Therefore, \(\frac{7}{20} = 0.35 \) is a terminating decimal.</p>
48
<p>Therefore, \(\frac{7}{20} = 0.35 \) is a terminating decimal.</p>
49
<p>(or)</p>
49
<p>(or)</p>
50
<p>The denominator 20 has prime factors 2 × 2 × 5, which are only 2s and 5s, so the decimal terminates.</p>
50
<p>The denominator 20 has prime factors 2 × 2 × 5, which are only 2s and 5s, so the decimal terminates.</p>
51
<p>Well explained 👍</p>
51
<p>Well explained 👍</p>
52
<h3>Problem 2</h3>
52
<h3>Problem 2</h3>
53
<p>Convert 5.6 into a fraction and check if it is a terminating decimal.</p>
53
<p>Convert 5.6 into a fraction and check if it is a terminating decimal.</p>
54
<p>Okay, lets begin</p>
54
<p>Okay, lets begin</p>
55
<p>\(5.6 = \frac{28}{5} \), which is a terminating decimal.</p>
55
<p>\(5.6 = \frac{28}{5} \), which is a terminating decimal.</p>
56
<h3>Explanation</h3>
56
<h3>Explanation</h3>
57
<p>Let's convert 0.56 into a fraction</p>
57
<p>Let's convert 0.56 into a fraction</p>
58
<p>\(5.6 = \frac{56}{10} \)</p>
58
<p>\(5.6 = \frac{56}{10} \)</p>
59
<p>\(5.6 = \frac{28}{5} \)</p>
59
<p>\(5.6 = \frac{28}{5} \)</p>
60
<p>We cannot simplify it further.</p>
60
<p>We cannot simplify it further.</p>
61
<p>Therefore, the fraction for of \(5.6 = \frac{28}{5} \).</p>
61
<p>Therefore, the fraction for of \(5.6 = \frac{28}{5} \).</p>
62
<p>(or)</p>
62
<p>(or)</p>
63
<p>When we divide 28 by 5, we get 5.6, which ends after one decimal place, so it is a terminating decimal.</p>
63
<p>When we divide 28 by 5, we get 5.6, which ends after one decimal place, so it is a terminating decimal.</p>
64
<p>Well explained 👍</p>
64
<p>Well explained 👍</p>
65
<h3>Problem 3</h3>
65
<h3>Problem 3</h3>
66
<p>Jake has 8 chocolates, and he shares them equally among 5 friends. How many chocolates does each friend get?</p>
66
<p>Jake has 8 chocolates, and he shares them equally among 5 friends. How many chocolates does each friend get?</p>
67
<p>Okay, lets begin</p>
67
<p>Okay, lets begin</p>
68
<p>Each friend gets 1.6 chocolates.</p>
68
<p>Each friend gets 1.6 chocolates.</p>
69
<h3>Explanation</h3>
69
<h3>Explanation</h3>
70
<p>Let's find out the number of chocolates they'll get by dividing 8 by 5.</p>
70
<p>Let's find out the number of chocolates they'll get by dividing 8 by 5.</p>
71
<p>8 ÷ 5 = \(\frac{8}{5} \)</p>
71
<p>8 ÷ 5 = \(\frac{8}{5} \)</p>
72
<p>\(\frac{8}{5} = 1.6 \)</p>
72
<p>\(\frac{8}{5} = 1.6 \)</p>
73
<p>Therefore, each friend gets 1.6 chocolates, which has one decimal place, making it a terminating decimal.</p>
73
<p>Therefore, each friend gets 1.6 chocolates, which has one decimal place, making it a terminating decimal.</p>
74
<p>Well explained 👍</p>
74
<p>Well explained 👍</p>
75
<h3>Problem 4</h3>
75
<h3>Problem 4</h3>
76
<p>Express 7/8 as a decimal.</p>
76
<p>Express 7/8 as a decimal.</p>
77
<p>Okay, lets begin</p>
77
<p>Okay, lets begin</p>
78
<p>7/8 = 0.875</p>
78
<p>7/8 = 0.875</p>
79
<h3>Explanation</h3>
79
<h3>Explanation</h3>
80
<p>Let's divide 7 by 8</p>
80
<p>Let's divide 7 by 8</p>
81
<p>It is in its simplest form. </p>
81
<p>It is in its simplest form. </p>
82
<p>Therefore, upon long division method, we get that</p>
82
<p>Therefore, upon long division method, we get that</p>
83
<p>\(\frac{7}{8} = 0.875 \)</p>
83
<p>\(\frac{7}{8} = 0.875 \)</p>
84
<p>Dividing 7 by 8 results in 0.875, which ends after three decimal places, making it a terminating decimal.</p>
84
<p>Dividing 7 by 8 results in 0.875, which ends after three decimal places, making it a terminating decimal.</p>
85
<p>Well explained 👍</p>
85
<p>Well explained 👍</p>
86
<h3>Problem 5</h3>
86
<h3>Problem 5</h3>
87
<p>Is 0.48 a terminating decimal?</p>
87
<p>Is 0.48 a terminating decimal?</p>
88
<p>Okay, lets begin</p>
88
<p>Okay, lets begin</p>
89
<p>Yes, 0.48 is a terminating decimal.</p>
89
<p>Yes, 0.48 is a terminating decimal.</p>
90
<h3>Explanation</h3>
90
<h3>Explanation</h3>
91
<p> The decimal 0.48 has only two decimal places and does not go on forever, so it is a terminating decimal.</p>
91
<p> The decimal 0.48 has only two decimal places and does not go on forever, so it is a terminating decimal.</p>
92
<p>Well explained 👍</p>
92
<p>Well explained 👍</p>
93
<h2>Hiralee Lalitkumar Makwana</h2>
93
<h2>Hiralee Lalitkumar Makwana</h2>
94
<h3>About the Author</h3>
94
<h3>About the Author</h3>
95
<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
95
<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
96
<h3>Fun Fact</h3>
96
<h3>Fun Fact</h3>
97
<p>: She loves to read number jokes and games.</p>
97
<p>: She loves to read number jokes and games.</p>