Fifth-Grade Mathematics Standards

fifth-grade-mathIn your daughter or son’s last year of elementary school, she or he works to strengthen skills learned in earlier grades and build the foundation for algebra, learning about decimals to the hundredths place and fractions. Here are several examples of the standards for fifth-grade mathematics, along with questions to ask your son or daughter’s teacher and ways you can reinforce learning at home.

Operations and Algebraic Thinking

  1. Use brackets or parentheses to write numerical expressions.
    Q: Write “multiply three times eight, then subtract five” as a numeric phrase.
    A: (3 × 8) – 5

Number and Operations in Base Ten

  1. Divide numbers with up to four digits by two-digit numbers; multiply numbers with multiple digits.
    1265 ÷ 15 = 84.33
    326 × 98 = 31,948
  2. Add, subtract, multiply and divide decimals up to the hundredths place.
    2.13 × 4.92 = 10.48
  3. Write and compare decimals up to the thousandths place.
    Q: Which number is greater: 2.347 or 2.389?
    A: 2.389 is greater because looking at the two numbers, 2.347 is less than 2.389.

Number and Operations: Fractions

  1. Solve numerical and word problems that require finding a common denominator to add and subtract fractions.
    Solve: fractions
  2. Multiply fractions by both fractions and mixed numbers.

Measurements and Data

  1. Solve problems by converting whole units and fractions of units within a common measurement system.
    Q: Find the number of minutes in 1/8th of an hour.
    A: 1 hour = 60 minutes and 1 minute = 60 seconds
    60 minutes ÷ 8 minutes = 7.5 minutes, or 7 minutes, 30 seconds


  1. Use multiplication and addition to find volume.
    Q: Find the volume of the cube with the given length, width, and height of 7 inches.
    A: V = a3
    V = 73
    V = 343 in3
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