Comparing large whole numbers involves using place value to determine which number is greater, less, or equal: compare the highest place at which the numbers differ, recognizing that a digit’s value depends on its position and that leading or embedded zeros do not alter this reasoning. The relationship can be interpreted with , , and , in standard, expanded, word, or number-line representations; this scope excludes decimals, negative integers, fractions, and scientific notation.
To compare large whole numbers, line up their place values and compare digits from left to right. Start with the greatest place value. The first place where the digits are different tells you which number is greater.
Compare:
Compare the millions digits:
Both numbers have millions, so they are equal so far.
Compare the hundred-thousands digits:
Both numbers have hundred-thousands, so they are still equal.
Compare the ten-thousands digits:
The first number has ten-thousands, while the second number has ten-thousands.
Since , the second number is greater. We do not need to compare the remaining digits.
Therefore,
Remember: Compare from left to right, and stop at the first place where the digits differ. A zero in a place does not change this process; it simply means that place has a value of zero.
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