If you notice, the expressions for the least button clicks also give the Indian place value notation of the numbers. Think about why this is so.
Explanation: The expressions for least button clicks give the Indian place value notation because each digit in a number represents how many times we need to press the button for that place value.
Example: 40629 The digit 4 is in the ten thousands place, so we press +10000 four times. The digit 6 is in the hundreds place, so we press +100 six times.
Answer: This is exactly what the Indian place value system represents - each digit multiplied by its place value.
Explanation
The chapter explains that the Indian place value system expresses a number as the sum of each digit multiplied by its place value (ones, tens, hundreds, thousands, ten thousands, lakhs, etc.). This is exactly what the minimum button click expression represents.
Solution Steps
Each digit in a number represents how many times we need to press the button for that place value.
In 40629, digit 4 is in the ten thousands place, so we press +10000 four times.
In 40629, digit 6 is in the hundreds place, so we press +100 six times.
The Indian place value system represents each digit multiplied by its place value.