Fast Math | Vedic Mental Math Tricks - Multiplication 05 | Don't Memorise

TL;DR

Learn how to multiply numbers above and below the base using deviations and place value logic.

Transcript

we have covered two types of multiplication problem so far first problems like 98 times 97 when both numbers were below the base and second problems like 102 times 103 when both numbers were above the base in both cases the product of the deviations was positive and we could write it on the right but what if we have an example like 13 times 8 here ... Read More

Key Insights

• ⚾ The content explains how to handle multiplication problems where one number is above the base and the other is below the base.
• 🫱 Adjustments are made to the left-hand figure and the right-hand figure to account for carryover and ensure correct representation.
• 🥇 Place value logic can be used to simplify the multiplication process.
• 👻 Checking the number of digits allowed on the right ensures the correct representation of the final answer.
• ✖️ The example of multiplying 13 and 8 is used to illustrate the process, with the solution being 104.
• ⛩️ The content hints at upcoming examples with larger numbers to further demonstrate the method.
• 🦻 Using deviations, sums, and products aids in solving multiplication problems effectively.

Questions & Answers

Q: How do you handle multiplication problems where one number is above the base and the other is below the base?

To solve such problems, find the deviations of each number from the base, calculate the sum on the left and the product on the right. If the product is negative, subtract one from the left-hand figure and add the base to the right-hand figure.

Q: Why do we subtract one from the left-hand figure and add the base to the right-hand figure?

This adjustment is necessary because the left-hand figure represents the tens place, and subtracting one accounts for the carryover. Adding the base to the right-hand figure ensures the correct value is represented.

Q: How can we ensure the number of digits on the right is correct?

Check the number of zeros in the base, which determines the number of digits allowed on the right. In this case, as there is one zero in the base, we only write one digit on the right.

Q: Can place value logic be used to simplify multiplication problems?

Yes, by multiplying each digit with its place value, you can break down the problem into smaller calculations. This can help arrive at the correct answer more easily.

Summary & Key Takeaways

• The content discusses two types of multiplication problems: when both numbers are below the base and when both numbers are above the base.

• It explains how to handle multiplication problems when one number is below the base and the other is above the base, using deviations and the sum/product method.

• The solution involves subtracting one from the left-hand figure and adding the base to the right-hand figure.