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5th grade · Math · Unit 9 of 15

Converting Units

Inches to feet, grams to kilograms

What your child practices

Converting between units in the US customary and metric systems (both ways, including decimals) and using conversions in multi-step problems.

New York State Learning Standards learning standard: NY-5.MD.1 · converting between units in one measurement system and using conversions in multi-step problems

How we explain it

Children can open this short lesson before they practice.

  1. Big unit to small unit: multiply. Small unit to big unit: divide.
  2. Know the facts: 12 in = 1 ft, 16 oz = 1 lb, 4 qt = 1 gal, 100 cm = 1 m, 1000 g = 1 kg.
  3. Change to the same unit before you add or subtract.

Example: A rope is 4 yards long. How many feet is that? 1 yard = 3 feet. 4 × 3 = 12. Answer: 12 feet

Converting Units in New York

In the New York State Learning Standards, this is unit 9 of 15 in 5th grade Math, after Parallel Lines and Quadrilaterals and before Parentheses & Expressions.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: New York State Education Department (NYSED)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    How many ounces is 3 pounds 2 ounces?

    • 66
    • 32
    • 48
    • 5
    • 50

  2. Question 2

    4500 grams is how many kilograms?

    answer boxkilograms

  3. Question 3

    How many ounces are in 7 pounds?

    • 96
    • 23
    • 112
    • 1120
    • 128

  4. Question 4

    A punch bowl holds 3 quarts. How many 1-cup servings is that?

    • 48
    • 12
    • 24
    • 6
    • 15

  5. Question 5

    12 quarts is how many gallons?

    • 30
    • 3
    • 6
    • 5
    • 48

  6. Question 6

    A ribbon is 5 meters long. How many 25 cm pieces can be cut from it?

    • 200
    • 17
    • 19
    • 20
    • 125

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