Question 6 - Figure it out - Page 78, 79, 80 - Chapter 3 Class 7 - A peek beyond the Point (Ganita Prakash)

Transcript

Question 6 Will a decimal number with more digits be greater than a decimal number with fewer digits?The simple answer is no, and it's a common trick question! Think of it like comparing money. The Money Analogy Imagine you have two amounts of money: ₹ 0.50 (Fifty paise) ₹ 0.125 (Twelve and a half paise) The number 0.125 has more digits, but you know that 50 paise is a lot more money than 12.5 paise. Why does this work? The value of a decimal number doesn't depend on how many digits it has, but on how much each digit is worth based on its position. When you look at a decimal, the first digit after the decimal point is the most important. It tells you how many "tenths" you have (which are like dimes in our money example). The next digit tells you about "hundredths" (like pennies). Let's look at another example: Compare 0.5 and 0.499 Look at the first digit after the point (the tenths place): 0.5 has a 5 here. 0.499 has a 4 here. Compare those digits: Since 5 is bigger than 4, 0.5 is the greater number. It doesn't matter that 0.499 has more digits after that. Having 5 tenths is always better than having only 4 tenths, even if the second number has lots of smaller bits (hundredths and thousandths) attached. So, the rule is to always compare decimal numbers from left to right, one digit at a time. The first place where the digits are different tells you which number is bigger.