5th grade · Math · Unit 9 of 14
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.
Arizona Academic Standards learning standard: 5.MD.A.1 · converting between different-sized units within one measurement system and using conversions in multi-step problems
How we explain it
Children can open this short lesson before they practice.
- Big unit to small unit: multiply. Small unit to big unit: divide.
- Know the facts: 12 in = 1 ft, 16 oz = 1 lb, 4 qt = 1 gal, 100 cm = 1 m, 1000 g = 1 kg.
- 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 Arizona
In the Arizona Academic Standards, this is unit 9 of 14 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: Arizona Department of Education
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
2000 meters is how many kilometers?
- 2,000,000
- 3
- 2
- 20
- 5
2
Hint: 1000 meters make 1 kilometer. Divide: 2000 ÷ 1000.
Question 2
How many minutes are in 8 hours?
- 4800
- 600
- 420
- 480
- 68
480
Hint: 1 hour = 60 minutes. Multiply: 8 × 60.
Question 3
3100 grams is how many kilograms?
answer boxkilograms
3.1 kilograms
Hint: Divide by 1000: move the decimal point.
Question 4
How many minutes is 4 hours 12 minutes?
- 252
- 312
- 16
- 52
- 240
252
Hint: 4 × 60 = 240. Then add 12.
Question 5
A punch bowl holds 5 quarts. How many 1-cup servings is that?
- 22
- 20
- 10
- 40
- 80
20
Hint: 1 quart = 2 pints = 4 cups. 5 × 4.
Question 6
How many milliliters are in 3 liters?
answer boxmilliliters
3000 milliliters
Hint: 1 liter = 1000 milliliters. 3 × 1000.