Lesson 4

Converting Units

The practice problem answers are available at one of our IM Certified Partners

Problem 1

Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?

 pesos   dollars 
4,250 250

Problem 2

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. For each question, explain or show your reasoning.

  1. How many milliliters are in 3 gallons?
  2. How many milliliters are in 1 quart?

Problem 3

Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to gallons, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning. If you get stuck, consider drawing a double number line or using a table.

Problem 4

Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams. (Note: 1 kilogram \(\approx\) 35 ounces)

Problem 5

Identify whether each unit measures length, volume, or weight (or mass).

  • Mile
  • Cup
  • Pound
  • Centimeter
  • Liter
  • Gram
  • Pint
  • Yard
  • Kilogram
  • Teaspoon
  • Milliliter
(From Grade6, Unit 3, Lesson 1.)

Problem 6

A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in a one-pound bag of this trail mix? Explain or show your reasoning.

(From Grade6, Unit 2, Lesson 11.)

Problem 7

An ant can travel at a constant speed of 980 inches every 5 minutes.

  1. How far does the ant travel in 1 minute?
  2. At this rate, how far can the ant travel in 7 minutes?
(From Grade6, Unit 2, Lesson 9.)