Compare two numbers or arrange a short list from least to greatest. Choose whole numbers, decimals, or a separate signed-integer extension so that the comparison matches the skill being practiced.
The comparison levels use <, >, and =. The ordering levels ask for a complete sequence. Use the answer key after attempting the set, and ask which place or number-line position determined each decision.
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For whole numbers written without unnecessary leading zeros, a number with more digits is greater. When the digit counts match, start at the largest place and continue until the digits differ.
To compare 4,572 and 4,527, the thousands and hundreds match. The tens digits are 7 and 2, so \(4{,}572 \gt 4{,}527\). Later digits cannot overturn a difference at a larger place.
A longer decimal is not automatically greater. Compare the whole-number parts, then tenths, hundredths, and any remaining places. Trailing zeros can make the alignment easier without changing a value.
Write 0.6 as 0.60 to compare it with 0.58. The tenths already decide the result: five tenths is less than six tenths, so \(0.58 \lt 0.60\). Also, \(0.50 = 0.5\); the extra zero does not add another amount.
For 0.5, 0.08, 0.62, and 0.56, align the places mentally as 0.50, 0.08, 0.62, and 0.56. From least to greatest, the order is 0.08, 0.50, 0.56, 0.62. Either 0.5 or 0.50 names the same second value.
Read the requested direction before writing the list. These ordering levels use least to greatest, so each entry must be smaller than the next.
Numbers farther right on a number line are greater. For example, \(-8 \lt -3\) because −8 lies farther left. The larger distance from zero does not make a negative number greater.
Two-digit comparisons support early place-value work. Multi-digit whole numbers, decimals, and signed integers are progressively different tasks; signed ordering is a sixth-grade extension here. For a visual check, use the Number Line Worksheets with an appropriate range.