Decimal order to hundredths is determined by place value: compare whole-number parts first, then tenths, and finally hundredths, treating a missing hundredths digit as zero (for example, 0.5 = 0.50). This supports comparing and locating nonnegative decimals on a number line and counters the misconception that a decimal with more written digits is automatically greater; the scope excludes thousandths, negative decimals, and decimal operations.
Detailed Explanation: Order decimals to hundredths
To order decimals to hundredths, compare their place values from left to right:
Compare the whole-number parts.
If those are equal, compare the tenths digits.
If those are equal, compare the hundredths digits.
If a decimal has no hundredths digit, write a zero. For example, 0.5=0.50.
Example: Order from least to greatest:
0.5,0.47,1.05,0.95,0.52
Rewrite each decimal to show hundredths:
0.50,0.47,1.05,0.95,0.52
Now compare:
0.47 and 0.50 have the same whole-number part, 0. Compare tenths: 4<5, so 0.47<0.50.
0.50 and 0.52 have the same whole-number part and tenths digit. Compare hundredths: 0<2, so 0.50<0.52.
0.52 and 0.95 have the same whole-number part, but 5<9 in the tenths place, so 0.52<0.95.
Any decimal with whole-number part 0 is less than a decimal with whole-number part 1, so 0.95<1.05.
Therefore, the decimals in order from least to greatest are
0.47, 0.5, 0.52, 0.95, 1.05​
Remember: having more written digits does not automatically make a decimal greater. The number 0.5 is equal to 0.50.
Learn by doing: Order decimals to hundredths
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Decimal Concept Comparison - Decimal Number Tenths vs Decimal Number Hundredths