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4.NF How Many Tenths and Hundredths?
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4.NF How Many Tenths and Hundredths?

Alignments to Content Standards

  • Grade 4
    Domain
    NF: Number and Operations---Fractions
    Cluster
    Understand decimal notation for fractions, and compare decimal fractions.
    Standard
    Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade. For example, express $3/10$ as $30/100$, and add $3/10 + 4/100 = 34/100$.
  • Grade 4
    Domain
    NF: Number and Operations---Fractions
    Cluster
    Understand decimal notation for fractions, and compare decimal fractions.
    Standard
    Use decimal notation for fractions with denominators 10 or 100. For example, rewrite $0.62$ as $62/100$; describe a length as $0.62$ meters; locate $0.62$ on a number line diagram.

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Finish the equations to make true statements. Write one number in each space.

  1. 1 tenth + 4 hundredths = ______________ hundredths
  2. 4 hundredth + 1 tenths = ______________ hundredths
  3. 5 tenths + 2 hundredths = ______________ hundredths
  4. 5 hundredths + 2 tenths = ______________ hundredths
  5. 14 hundredths = __________ hundredths + 4 hundredths
  6. 14 hundredths = __________ tenths + 4 hundredths
  7. 14 hundredths = 1 tenths + 3 hundredths + __________ hundreths
  8. 80 hundredths = __________ tenths

Commentary

Parts (a) and (b) have the same solution, which emphasizes that the order in which we add doesn't matter (because addition is commutative), while parts (c) and (d) emphasize that the position of a digit in a decimal number is critical. The student must really think to encode the quantity in positional notation.

In parts (e), (f), and (g), the base-ten units in 14 hundredths are bundled in different ways. In part (e), "hundredths" are thought of as units: 14 things = 10 things + 4 things.

Part (h) addresses the notion of equivalence between hundredths and tenths.


Solutions

Solution: Answers
  1. 14
  2. 14
  3. 52
  4. 25
  5. 10
  6. 1
  7. 1
  8. 8


Public Comments
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  • kassymov wrote this public comment 10 months ago

    The labels in the task are Roman numerals. The commentary and the answer section use letters.

    • nakamaye wrote this public reply 10 months ago

      fixed now too-- thanks for catching this!

  • kassymov wrote this public comment 10 months ago (removed by kassymov 10 months ago)