Farah compares two numbers, 4,809 and 4,890, and says 4,809 is bigger because it ends in 9, and 9…
Farah compares two numbers, 4,809 and 4,890, and says 4,809 is bigger because it ends in 9, and 9 is the biggest single digit. Her brother says you have to compare digit by digit starting from the left, not just look for a big digit anywhere. Who is right?
Who do you think is right? Pick one.
The answer: Her brother is right
Why
Farah's instinct that 9 is important is not wrong — 9 really is the biggest single digit. Where it breaks is treating "has a 9 somewhere" as the whole comparison, when WHERE a digit sits matters far more than what the digit is. Compare 4,809 and 4,890 place by place from the left: both have 4 in the thousands and 8 in the hundreds, so those cancel out — the decision comes down to the tens place, where 4,890 has a 9 and 4,809 has a 0. That single place makes 4,890 the bigger number, 4,890 > 4,809, even though 4,809 has a 9 sitting in the ones place. A ₹100 note and ten ₹10 notes both "have a 9" if you write out ₹190 versus ₹109 — but which pile of money you'd rather hold depends on where that 9 sits, not that it exists. Her brother is right: 4,890 is the bigger number, and comparing left to right, one place at a time, is what decides it.
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