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Compare simple decimals to tenths

Comparing decimals to tenths involves interpreting a decimal as a whole-number part and a tenths part, then using place value to determine which quantity is greater, less, or equal. A number line and equivalent fraction notation (such as 0.6 = 6/10) reinforce that, after comparing whole-number parts, tenths determine the order; the scope is numbers with at most one decimal digit, not hundredths or more general decimal expansions.

Detailed Explanation: Compare simple decimals to tenths

To compare decimals to tenths, look at the whole-number part first. If the whole-number parts are equal, compare the tenths digits.

Example: Compare 2.62.6 and 2.42.4

  1. Compare the whole-number parts.
    Both numbers have 22 whole ones:
2.6and2.4 2.6 \quad \text{and} \quad 2.4
  1. Compare the tenths.
    The number 2.62.6 has 66 tenths, and 2.42.4 has 44 tenths:
2.6=2610,2.4=2410 2.6=\frac{26}{10}, \qquad 2.4=\frac{24}{10}

Since 66 tenths is greater than 44 tenths, 2.62.6 is greater.

  1. Write the comparison.
2.6>2.4 \boxed{2.6>2.4}

On a number line, 2.62.6 is to the right of 2.42.4, so it has the greater value.

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Decimal Concept Comparison - Decimal Number Tenths vs Fraction Tenths


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