Vertical & Crosswise Multiplication Vedic Maths Tricks for Class 7

Does your school mathematics examination have whole pages of free calculation? Long multiplication, as it stands, is a really laborious process, and compressing that to fit into the time when you are pressed for time in class 7 can feel very difficult. Are you familiar with vertical and crosswise multiplication Vedic maths tricks? As one once learned, numbers can be transformed.

Let us discover how these simple tools can transform your study sessions and make them understandable.

What are Vertical and Crosswise Multiplication Vedic Maths Tricks?

To multiply numbers the old way, students would be required to take multiple partial products, shift rows with placeholder zeros and have long columns of addition. A process that is time-consuming and therefore prone to human error. 

By Class 7, you are mostly introduced to mathematics not in a simple way, but more to decimal values (more complex calculations), algebraic expressions and fractions. Tipping entirely back to your old set of habits could also leave you behind in the race to finish test papers on time.

This technique of Indian Vedic maths is an ancient science. People used to do calculations based on measurements and mathematics. This special feature is called ‘Sutra Urdhva-Tiryagbhyam’, which means ‘vertical and crosswise’. You can use it to calculate a convention around any two numbers that slide over your required axis simultaneously. 

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Best Vertical and Crosswise Multiplication Vedic Maths Tricks

What makes vertical and crosswise multiplication powerful is that it follows a predictable pattern. This same mechanical sequence holds for any size of number. To see exactly how it works, let us dissect the logical steps for both two-digit and three-digit operations.

The 2-Digit by 2-Digit Multiplication Pattern

Assume you have to multiply two 2-digit numbers. We will denote the digits by placeholder letters, meaning the first number will be AB and the second one CD.

A   B

×   

C   D

With these fast calculation methods, here are three simple steps from right to left:

• Step 1 (Vertical Right): Multiply the units digits against each other (B \times D). Record the unit digit of this number and keep the foregone tens.

• Step 2 (Crosswise): Take the crosswise products AD and BC and add them together. It will take any value carried forward from the previous step. Take the unit digit and carry it forward.

• Step 3 (Vertical Left): Multiply the 2 tens digits as a product of A and C. Now you can include whatever additional carried-over value is left and enter the final total down at the far left.

Read More - Speed Maths Test for Class 7 (Try Now)

Real-World Example: Multiply 34 by 52

Let us see this pattern work through a problem easily, without any traditional long-form rows

• Right Side Step: Multiply the right column vertically. 4 times 2 equals 8. Write down 8. No carry forward is needed.

• Middle Cross Step: Multiply diagonally and sum the totals. (3 times 2) + (4 times 5) = 6 + 20 = 26. Write down 6 and carry forward 2.

• Left Side Step: Vertical multiplication of the left column, 3 times 5, equals 15. Finally, you add your carried value: 15 + 2 = 17. Write down 17.

Using these one after the other, from left to right, gives you a final answer of 1768.

The 3-Digit by 3-Digit Multiplication Pattern

For instance, when school exams involve three-digit values, the old traditional grid method becomes extremely slow. Well, our maths shortcuts expand naturally to suit larger numbers. This means we can denote the top three digits as 'ABC' and the bottom three digits as 'DEF'.

A   B   C

 ×   

D   E   F

To address this, we symmetrically expand our movements across a crosswise suite composed of five different steps in the following way:

• Step 1: Multiply the units columns vertically (C times F).

• Step 2: Cross-multiply the two right-hand columns and add them together (B times F + C times E).

• Step 3: Cross-multiply the outer digits and add the vertical middle product (A times F + C times D + B times E).

• Step 4: Cross-multiply the two left-hand columns (A times E + B times D).

• Step 5: Multiply the leftmost columns vertically (A times D).

Always keep the last unit digit at each position and immediately carry any value greater than 0 to your left.

Real-World Example: Multiply 123 by 132

Let us clearly see how it disambiguates a massive equation with this five-step structure.

• Step 1: Vertical right calculation. 3 times 2 equals 6. Write down 6.

• Step 2: Small crosswise calculation on the right. (2 times 2) + (3 times 3) = 4 + 9 = 13. Write down 3, carry forward 1.

• Step 3: Full crosswise and centre vertical calculation. (1 times 2) + (3 times 1) + (2 times 3) = 2 + 3 + 6 = 11. Add the carried 1: 11 + 1 = 12. Write down 2, carry forward 1.

• Step 4: Small crosswise calculation on the left. (1 times 3) + (2 times 1) = 3 + 2 = 5. Add the carried 1: 5 + 1 = 6. Write down 6.

• Step 5: Vertical left calculation. 1 times 1 equals 1. Write down 1.

Tie the numbers together, and you have your full answer: 16236.

Read More - Mental Division Tricks for Class 7

Practise Sheet for Vertical and Crosswise Multiplication Vedic Maths Tricks

Practise consistently and with intent — that's the only secret you will ever need to develop devastatingly fast mental reflexes. Build confidence with these Vedic maths tricks for Class 7. Use the below-listed comprehensive sets for curated problems built to test your skill up.

Set A: 2-Digit Problems (Warm-up)

Try resolving these equations entirely on a single line of paper:

1. 23 times 45

2. 42 times 36

3. 81 times 36

4. 92 times 47

5. 65 times 48

Set B: 3-Digit Problems (Advanced challenge)

Take your skills to the next stage with these longer values:

1. 213 times 121

2. 302 times 214

3. 112 times 23

Benefits of Learning Vertical and Crosswise Multiplication Vedic Maths Tricks

Turning to these easy maths shortcuts grants enormous outside-the-classroom benefits that extend well beyond simply passing a traditional classroom topic test. Below are the main advantages of using this approach:

• Saves Massive Exam Time: No need to labour over writing all those digital rows of partial products; it is significantly faster with practice.

• Minimises Calculation Errors: By keeping everything on one line, you reduce the likelihood of tracking errors that often occur when summing stacked rows.

• Eliminates Paper Clutter: Conventional multiplication requires you to shuffle back and forth between calculating things in your head and trying not to write messy side notes on a blank sheet of paper. This is an entirely new method that clears the clutter.

• Lowers Exam Stress: Building up the familiarity that you can solve three-digit maths problems in seconds dispels any panic surrounding exams and develops core confidence around numeracy, enabling a focus on exam technique.

• Enhances Spatial Intelligence: It helps develop visual lines of thinking and associations, thereby improving the understanding of spatial and mathematical patterns.

How Does CuriousJr Help with Class 7 Mental Maths?

The answer is organisations structured to facilitate play, which make learning every day fun and full of potential for developing mental arithmetic. Well, it makes CuriousJr online mental maths class that builds a confident relationship with values and equations. Here is how it helps:

• Bite-Sized Visual Lessons: It translates complex calculation methods into small, engaging steps so that students develop insight into how poses really work rather than just memorising patterns without context.

• Fun Practice Modules: The application offers fun games that make simple everyday calculations more engaging, helping students want to beat their speed records.

• Curriculum-Aligned Tasks: Every single puzzle and exercise worksheet is specifically designed to be integrated into the curriculum and conforms to the Class 7 school system syllabus, differentiating it as a valuable prep for written mid-year/annual exams.

• Instant Analytical Feedback: Students can see where they erred in their mental tracking, so they can correct any crosswise logic on the spot.