Subtract from 1000, 10000, 100000
Introduction
Welcome to our detailed guide on using a powerful Vedic mathematics trick to simplify subtraction from 1000, 10000, 100000, etc! This blog post will explain the "all from 9 and the last from 10" rule in depth and provide various scenarios to help you master this technique.
The Magic Trick: "All from 9 and the Last from 10":
The core of this blog and the worksheet is a simple yet powerful rule from the Vedic Mathematics sutra "Nikhilam Navatascaramam Dasatah." The rule states: "In all the places other than the ones, the digits are subtracted from 9. And the digit in the ones place is subtracted from 10." In other words, "all from 9 and the last from 10."
Unlike traditional subtraction methods that work from right-to-left, this Vedic trick allows you to write the answer from left-to-right, making the process more intuitive and faster.
Let's learn this trick through 5 different scenarios. Once you've mastered a scenario, head over to the worksheet page and apply your learning in practice.
1. A basic and simple application of the rules
Simply follow the trick rules to write the answer from left-to-right.
Worksheet Settings: The default settings of the worksheet. Click "Create New Worksheet" to get started.
- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
2. Subtrahends with Fewer Digits than the Minuend
The subtrahend may have fewer digits than the zeros in the minuend, as in 100000 - 765. To make this trick easier for beginners, you can prefix zeros to the subtrahend to match the number of zeros in the minuend.
Once you're comfortable with the trick, you can mentally assume these zeros without needing to write them down.
Worksheet Settings: Enable the option "Smaller Subtrahends".
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- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
3. Subtrahends with trailing zeros
Apply the rules up to the last non-zero digit of the subtrahend and retain the trailing zeros.
Worksheet Settings: Enable the option "Subtrahend must have trailing zeros.".
- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
4. Minuends not starting with 1
In this scenario, the minuend starts with a digit other than 1, such as 4000, 60000, or 300000. When applying the all from 9 and the last from 10 rule, you’ll need to make a small adjustment: reduce the first digit of the minuend by 1 before applying the rule.
Worksheet Settings: Choose the option "No but with different no. of digits" for the "Should the Minuend begin with 1?".
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- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
5. Subtraction with equal number of digits
When the minuend and subtrahend have the same number of digits:
i. For the first digit of the answer, subtract the first digit of the subtrahend from the first digit of the minuend, then subtract 1. In other words, do the following: the 1st digit of the minuend - the 1st digit of the subtrahend - 1
ii. Next, apply the "all from 9 and the last from 10" rule to the remaining digits.
Worksheet Settings: Choose the option "No but with equal no. of digits" for the "Should the Minuend begin with 1?".
- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
- Loading the maths subtraction trick...
By practicing these scenarios, you will gain a thorough understanding of how to apply the "all from 9 and the last from 10" rule to various subtraction problems. This technique simplifies the subtraction process and enhances mental math skills, making it a valuable tool for learners of all ages.
Ready to practice? Head back to our worksheet page and start mastering the art of quick subtraction with minuends like 1000, 10000, 100000, etc!