Number line practice

Mixed numbers on number lines

Plot or read four mixed numbers on each of five lines, with selectable denominators 2–10 and 12 and positive or mostly negative ranges.

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Find the neighboring integers and use the subdivisions to mark or read each mixed number. A minus sign applies to the entire mixed number.

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Fractional ticks and mixed-number answers use reduced exact notation. On decimal worksheets, thirds are positioned exactly and displayed to three decimal places, so those decimals are rounded descriptions of the points.

Learning objective

What this activity builds

Combine a whole-number part and fractional part to locate a value, including the position of a negative mixed number.

Worked example

Where is −2 1/2 on the number line?

Halfway between −3 and −2.

The notation means the negative of 2 + 1/2, which is -2.5. It does not mean -2 + 1/2. The point is left of -2.

Teaching notes

Make the practice count

  • Begin with halves or quarters and positive values. Add more denominator choices only when learners can identify the unit intervals reliably.
  • Every target has a nonzero whole part and a proper fractional part. Answers are reduced; neither an integer nor a fraction between -1 and 1 is used as a mixed-number target.
  • Mostly negative mode contains three all-negative rows and two rows crossing zero. Crossing rows use -3 to 3 for halves and -2 to 2 for other denominators, so four different mixed-number targets remain available.
  • Each row uses one selected denominator. Letters A–D do not indicate left-to-right order, and the answer key shows both point positions and exact values.

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Math SheetNameScore/ 20TeacherDateMixed numbers on number linesMark and label the four given values A, B, C and D on each line.1.2345678910A = 7 2/3B = 2 1/3C = 5 2/3D = 3 1/32.3456789101112131415A = 14 1/2B = 5 1/2C = 12 1/2D = 8 1/23.56789A = 6 2/5B = 5 3/5C = 5 4/5D = 6 4/54.6789101112A = 6 1/4B = 7 3/4C = 10 3/4D = 11 1/45.89101112A = 10 1/3B = 11 5/6C = 9 1/3D = 10 5/6math-sheet.comPage 1 / 1

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