Multiplication tables can feel like a bit of a hurdle sometimes, right? Don’t worry though, we’ve got you covered! This guide will show you some cool tricks using just numbers to make multiplying by 9 a breeze.
Method 1: The “Shift and Subtract” Maneuver
This method offers a shortcut for multiplying any single-digit number (1-9) by 9. Here’s how it unfolds:
- Shift Left: Take your single-digit number and move its digit one position to the left. Imagine adding a leading zero. For instance, 4 becomes 40.
- Subtract the Original: Subtract the original single-digit number from the shifted number you created in step 1. In our example, 40 – 4 = 36.
Check out our Multiplication by 9 Worksheet
Method 2: The “Finger Dexterity” Approach
This method is a fantastic visual strategy, particularly suitable for learners starting with numbers. Here’s how it goes:
- Full Extension: Extend both your hands with your fingers spread wide. This represents the ten single-digit numbers (1-10).
- Bend for the Number: Select the finger that corresponds to the number you’re multiplying by nine. For example, to represent seven, bend your pinky down (the seventh finger from your thumb).
- Counting the Tens: Enumerate the fingers to the left of the bent finger. This number signifies the tens digit of your answer. (In this case, there are two fingers to the left – your thumb and index finger)
- Counting the Ones: Count the fingers to the right of the bent finger. This represents the ones digit of your answer. (Here, there are seven fingers to the right – your remaining fingers except the pinky)
- Combine and Conquer: Combine the two counts you obtained in steps 3 and 4 to arrive at your answer. So, 7 x 9 = 63, with a tens digit of 6 and a units digit of 3.
Remember: This finger trick works for multiplying by nine up to ten (10 x 9). Simply bend both your pinky and ring finger and follow the same steps! You’ll be counting eight fingers to the left for the tens digit and two fingers to the right for the ones digit, resulting in 90.
Examples in Action:
Let’s solidify these methods with some examples:
Example (Shift and Subtract):
5 x 9 = ?
- Shift 5 to the left: 5 becomes 50.
- Subtract 5 from 50: 50 – 5 = 45.
Example (Finger Dexterity):
3 x 9 = ?
- Extend fingers: 10 fingers.
- Bend the middle finger (represents 3).
- Count fingers to the left: 2.
- Count fingers to the right: 7.
- Combine counts: 2 + 7 = 27.
Free Multiplication Worksheets
Sharpening Your Skills:
Now that you’re armed with these numerical multiplication techniques, it’s time to practice! Here are some suggestions:
- Flashcard Fun: Create flashcards with multiplication problems involving nine and solve them using your preferred method (write the answer as a number, e.g., 8 x 9 = 72).
- Number Games: Engage a friend or family member in a multiplication duel using these tricks. Focus on using only numbers during the game.
- Singing Sensations: Find or create a song that incorporates multiplication by nine in a catchy way, focusing on including the numbers themselves in the lyrics.
With consistent practice and these numerical techniques, multiplying by 9 will become a breeze. So, go forth with confidence and conquer those multiplication problems!