9 times table
9 times table |
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9 x 1 = 9 |
9 x 2 = 18 |
9 x 3 = 27 |
9 x 4 = 36 |
9 x 5 = 45 |
9 x 6 = 54 |
9 x 7 = 63 |
9 x 8 = 72 |
9 x 9 = 81 |
9 x 10 = 90 |
9 x 11 = 99 |
9 x 12 = 108 |
When it comes to learning multiplication tables, many people may find it challenging. However, once you have a grasp on the most effective methods, mastering the table of 9 can be much more manageable.
The Finger Method
One simple and widely known technique for learning the 9 times table is the finger method. This approach uses our hands as a visual aid, which makes it easier to remember each product. Here’s how to do it:
- Hold both your hands in front of you with palms facing outwards.
- Assign each finger a value from 1 to 10, starting with your left thumb as 1 and ending with your right thumb as 10.
- To multiply any number by 9 (up to 9×10), bend the corresponding finger down.
- The number of fingers remaining on the left side of the bent one represents tens, while those on the right represent ones.
- Add the two numbers together to get the product of the multiplication.
For example, let’s say we want to calculate 9×3. Bend the third finger and count the fingers on each side; there are two fingers on the left (20) and seven on the right (7). So, 9×3 equals 27!
Simplifying with Subtraction
Another trick that helps in learning the multiplication table of 9 involves subtraction. When multiplying any single-digit number by 9, the sum of the digits in the product will always equal 9. Here’s a step-by-step process:
- Choose any single-digit number to multiply by 9.
- Subtract 1 from that number.
- Find the difference between the result and 9.
- Combine the two results to get the answer to the original multiplication problem.
For instance, to calculate 9×4, first subtract 1 from 4 (3), then find the difference between 3 and 9 (6). Combining these results gives us 36, which is the correct product for 9×4.
Making Use of Rote Memorization
Repetitive Recitation
Rote memorization, or learning through repetition, can be useful when trying to commit the multiplication table of 9 to memory. One way to practice this method is by reciting each combination out loud several times. Start with 9×0 and work your way up to 9×10, repeating each one multiple times before moving on to the next equation. This approach can help solidify the products in your mind.
Creating a Chart
Another tool that can aid rote memorization is creating a chart that displays the entire 9 times table. You can either draw it on a piece of paper or use an online resource to print out a pre-made version. Having the material displayed visually can make it easier to memorize and recall each product quickly.
9 times table chart
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||
---|---|---|---|---|---|---|---|---|---|
2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 2 |
3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 3 |
4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 4 |
5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 5 |
6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 6 |
7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 7 |
8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 8 |
9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 9 |
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Using Patterns and Visualization
The multiplication table of 9 contains some interesting patterns that can assist in learning and remembering the products. For example, the tens digit increases by one each step (0, 1, 2, 3…), while the ones digit decreases by one (9, 8, 7, 6…). Visualizing these patterns can help make learning the table more engaging and memorable.
Practicing with Quizzes and Games
Regular practice is essential when mastering any multiplication table. There are many online quizzes and games that can challenge your knowledge of the 9 times table in a fun way. By incorporating these resources into your learning routine, you can improve your recall speed and overall understanding of this crucial mathematical skill.
Combining Methods for Optimal Learning
The best approach to mastering the 9 times table is likely one that combines multiple strategies mentioned above. Utilizing various methods will keep your mind engaged and ensure that you have multiple ways to recall the information quickly. As always, regular practice and perseverance are the keys to success in any learning endeavor.