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Compare decimals to hundredths

Comparison of decimals through hundredths involves using whole-number, tenths, and hundredths place value to determine whether one quantity is greater than, less than, or equal to another, including recognizing equivalent forms such as 0.6 and 0.60. A number line can show their relative magnitude, reinforcing that digits must be compared by place value rather than by the apparent length of the decimal notation; comparison beyond hundredths, such as thousandths, is not included.

Detailed Explanation: Compare decimals to hundredths

To compare decimals to hundredths, compare the digits by place value:

  1. Compare the whole-number parts.
  2. If they are equal, compare the tenths digits.
  3. If those are equal, compare the hundredths digits.
  4. A missing hundredths digit can be filled with a zero. For example, 0.6=0.600.6=0.60.

Example: Compare 0.630.63 and 0.60.6.

First, write both numbers to the hundredths place:

0.63and0.600.63 \quad \text{and} \quad 0.60
  • The whole-number parts are both 00.
  • The tenths digits are both 66.
  • Compare the hundredths digits: 3>03>0.

Therefore,

0.63>0.600.63>0.60

Since 0.60=0.60.60=0.6, we can also write:

0.63>0.6\boxed{0.63>0.6}

On a number line, 0.630.63 is to the right of 0.600.60, so 0.630.63 is greater.

Learn by doing: Compare decimals to hundredths

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    Decimals Comparisons - Hundredths

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