Multiplication is like a treasure map that leads to the land of numbers! Among all the multiplication tables, the 9th table holds special importance due to its unique patterns and applications. In this blog, we’ll explore what the table of 9 is, why it's important, how to memorize it easily, and some fun activities to practice.
What is the Table of 9?
The multiplication table 9 is simply a list of the results of multiplying 9 by whole numbers such as 1, 2, 3, 4, and so on. It is often called the 9 multiple table because it shows all the numbers that are multiples of 9. Here’s how the table of 9 looks like:
Table of 9
|
9 × 1 = 9 9 × 2 = 18 9 × 3 = 27 9 × 4 = 36 9 × 5 = 45 9 × 6 = 54 9 × 7 = 63 9 × 8 = 72 9 × 9 = 81 9 × 10 = 90 |
9 × 11 = 99 9 × 12 = 108 9 × 13 = 117 9 × 14 = 126 9 × 15 = 135 9 × 16 = 144 9 × 17 = 153 9 × 18 = 160 9 × 19 = 171 9 × 20 = 180 |
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Why Do We Need to Learn the 9th Table?
The 9th table is not just schoolwork, it helps in real life too! Whether you're dividing pizza slices or counting your crayons in 9s, the multiplication of 9 is super useful.
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You can count items faster
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It helps solve problems quickly
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It builds confidence in math
Once you know what is the table of 9, many things become easier.
How to Read the Table of 9?
Reading the table of 9 is an effective way to learn it, helping your brain remember the numbers when needed. Here’s how to read the table of 9:
- One (1) times nine is Nine (9)
- Two (2) times nine is Eighteen (18)
- Three (3) times nine is Twenty-seven (27)
- Four (4) times nine is Thirty-six (36)
- Five (5) times nine is Forty-five (45)
- Six (6) times nine is Fifty-four (54)
- Seven (7) times nine is Sixty-three (63)
- Eight (8) times nine is Seventy-two (72)
- Nine (9) times nine is Eighty-one (81)
- Ten (10) times nine is Ninety (90)
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Unique Patterns in Table of 9
The table of 9 reveals fascinating patterns that not only make multiplication fun but also enhance our understanding of numbers in everyday life. Sum of Digits Equals 9 : One of the most interesting patterns in the table of 9 is that the sum of the digits in each product equals 9. For example:
- In 9 × 1 = 9, the digits 9 add up to 9.
- In 9 × 2 = 18, the digits 1 + 8 add up to 9.
- In 9 × 3 = 27, the digits 2 + 7 also add up to 9.
- In 9 × 4 = 36, the digits 3 + 6 equal 9.
- In 9 × 5 = 45, the digits 4 + 5 also sum to 9.
- In 9 × 6 = 54, the digits 5 + 4 add up to 9.
- In 9 × 7 = 63, the digits 6 + 3 equal 9.
- In 9 × 8 = 72, the digits 7 + 2 also add up to 9.
- In 9 × 9 = 81, the digits 8 + 1 equal 9.
- In 9 × 10 = 90, the digits 9 + 0 also sum to 9.
Decreasing and Increasing Digits : Another striking pattern is that the tens digit of the product increases while the units digit decreases as you progress through the table. For example:
- 9 × 1 = 09 (0 in the tens place and 9 in the units place)
- 9 × 2 = 18 (1 in the tens place and 8 in the units place)
- 9 × 3 = 27 (2 in the tens place and 7 in the units place)
- 9 × 4 = 36 (3 in the tens place and 6 in the units place)
- 9 × 5 = 45 (4 in the tens place and 5 in the units place)
- 9 × 6 = 54 (5 in the tens place and 4 in the units place)
- 9 × 7 = 63 (6 in the tens place and 3 in the units place)
- 9 × 8 = 72 (7 in the tens place and 2 in the units place)
- 9 × 9 = 81 (8 in the tens place and 1 in the units place)
- 9 × 10 = 90 (9 in the tens place and 0 in the units place)
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Tips for Memorizing the Table of 9
Learning the 9th table can be fun and easy with a few smart tricks. Learning the table of 9 can be fun and engaging! Here are some tips to make memorization enjoyable
Use Rhymes or Songs
Turning the table of 9 into a catchy rhyme or song can help kids remember it better. Music is a great memory aid. Singing the multiplication table 9 as a song can help you remember it better.
Visual Aids
Create colorful charts or flashcards featuring the multiplication of 9. Kids can display these on walls or their study desks for constant reminders.
Finger Trick
One popular method to memorize the table of 9 is the finger trick. Hold out both hands in front of you, and for each number you want to multiply by 9, lower that finger. The number of fingers to the left of the lowered finger represents the tens, and the fingers to the right represent the units. For example, lowering the 3rd finger shows 2 fingers on the left (20) and 7 on the right (7), giving you 27.
Multiplication Bingo :
Create bingo cards with products from 9 multiple table. Call out problems (like “9 times 4”) and let kids mark the answers on their cards.
Pattern Hunt
Challenge kids to find numbers in their environment that follow the 9's pattern. For example, they can spot items that are in groups of 9 (like 9 flowers in a garden) and write down the multiplication equations.
Cooking Together
Involve kids in cooking or baking where measurements require multiplying by nine. For example, if a recipe needs 1 cup of sugar for 9 cookies, ask how much is needed for 45 cookies.
Trick to Write the 9 Times Table
Here’s a simple trick to write the 9 times table: Begin with 9 times 1, which equals 9. Notice that as you go from 9 times 2 to 9 times 10, the first digit (tens place) increases from 0 to 9, while the second digit (units place) decreases from 9 to 0.
For example:
- 9 times 2 is 18
- 9 times 3 is 27
- 9 times 4 is 36
- 9 times 5 is 45
- 9 times 6 is 54
- 9 times 7 is 63
- 9 times 8 is 72
- 9 times 9 is 81
- 9 times 10 is 90
Real-Life Applications of the Table of 9
The table of 9 can help us in many everyday situations. Here are some simple examples:
Shopping
When buying things that cost $9, the table of 9 helps us quickly find out how much everything costs. For example, if you buy 4 toys that cost $9 each, you can add them like this:
- 9 (first toy)
- 9 (second toy)
- 9 (third toy)
- 9 (fourth toy)
Total = $36
Time Management
Knowing that 9 minutes is almost a tenth of an hour helps with planning time. For example, if you know you have 9 minutes to finish a game or do homework, you can figure out how long that is compared to other activities.
Sports
In games, scores can be added quickly using the table of 9. For example, if a team scores 3 goals and each goal is worth 9 points:
- 9 (for the first goal)
- 9 (for the second goal)
- 9 (for the third goal)
Total = 27 points
Measurement
When measuring things, knowing that 9 inches is almost 3/4 of a foot helps you understand sizes better.
Money Handling
Counting money often involves the number 9. For example, if a child has three $9 bills, they can easily add them up: 9 + 9 + 9 = $27.
Representing the Table of 9 as Addition
We can find the next multiple of 9 by adding 9 to the previous multiple of 9. In simple terms, we add 9, as many times as we want, to get the nth multiple. For example, 9 × 4 can be shown as 9 + 9 + 9 + 9. Here’s how we can represent the multiplication table as an addition:
- 9 + 9 + 9 + 9 = 9 × 1 + 9 × 1 + 9 × 1 + 9 × 1
- 9 + 9 + 9 + 9 = 9 (1 + 1 + 1 + 1) This shows the rule of distributive property of multiplication.
- 9 + 9 + 9 + 9 = 9 × 4 = 36
So, 9 + 9 + 9 + 9 equals 36. In the same way, the following table shows the results of Table 9, showing how we keep adding 9 to get the next multiple.
Representing the Table of 9 as Addition
|
9 × 1 |
= |
9 |
9 |
9 × 2 |
= |
9+9 |
18 |
9 × 3 |
= |
9+9+9 |
27 |
9 × 4 |
= |
9+9+9+9 |
36 |
9 × 5 |
= |
9+9+9 +9 +9 |
45 |
9 × 6 |
= |
9+9+9 +9 +9 + 9 |
54 |
9 × 7 |
= |
9+9+9 +9 +9 +9 +9 |
63 |
9 × 8 |
= |
9+9+9 +9 +9+9+9+9 |
72 |
9 × 9 |
= |
9+9+9 +9 +9+9+9+9+9 |
81 |
9 × 10 |
= |
9+9+9+9 +9+9+9+9+9+9 |
90 |
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Practice Makes Perfect: A Quick Quiz
Now, it’s time to put your skills to the test! Try these fun practice questions to see how well you know the table of 7:
- What is 9 times 3?
- If you buy 5 packets of seeds and each packet costs $9, how much do you spend in total?
- Using addition, find the total when 9 is added together 6 times.
- A gardener plants 9 trees each month. How many trees will be planted in 4 months?
- What is the 7th number in the table of 9?
- If you have 4 boxes with 9 pencils in each box, how many pencils do you have in total?
Final Trick to Write the Table of 9 Quickly
There’s a cool way to write the 9th table using a number trick. The tens go from 0 to 9, and the units go from 9 to 0. Try writing:
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09
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18
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27
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36
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45
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54
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63
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72
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81
This trick helps kids remember the multiplication table 9 faster.
By using all these tips, patterns, and fun tricks, you’ll never forget the 9th table. Whether it’s games, shopping, cooking, or quizzes, the multiplication of 9 is everywhere! So keep practicing, and soon, the 9 multiple table will become your new best friend.