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9.04 Story problems with measurement

Lesson

Are you ready?

Do you remember how to convert units of length, volume and mass? Let's try this problem to review. 

Convert $946$946 grams to kilograms.

  1. $946$946 grams = $\editable{}$ kg

Learn

This video looks at a story problem that involves adding and subtracting mass.

Apply

question 1

Dave buys a $5000$5000 g box of washing powder.

  1. If he uses $2.1$2.1 kg of the washing powder, how many grams of powder is left in the box?

Learn

In order to solve problems that involve more than one unit of measurement, we need to be able to convert all the measurements into a single unit. We can use these relationships to help us:

Distance
$1$1 kilometer $=$= $1000$1000 meters
$1$1 meter $=$= $100$100 centimeters
$1$1 yard $=$= $3$3 feet
$1$1 foot $=$= $12$12 inches
 
Mass
$1$1 kilogram $=$= $1000$1000 grams
$1$1 pound $=$= $16$16 ounces
Volume
$1$1 liter $=$= $1000$1000 milliliters
$1$1 quart $=$= $2$2 pints
$1$1 pint $=$= $2$2 cups
$1$1 cup $=$= $8$8 ounces
   

Apply

Question 2

A tap is dripping at the rate of $2$2 milliliters of water per minute.

  1. How many milliliters of water will be lost in one day?

  2. How many liters of water will be lost in one day?

 

Remember!

When we have a story problem, we need to think about the story, and use the keywords to work out which operators to use. Some words that we may find in a story could be:

addition subtraction multiplication division
more less groups of equally share
add take away product each
give take times equal groups
arrive leave total per

Outcomes

5.MD.A.1

Convert customary and metric measurement units within a single system by expressing measurements of a larger unit in terms of a smaller unit. Use these conversions to solve multi-step real-world problems involving distances, intervals of time, liquid volumes, masses of objects, and money (including problems involving simple fractions or decimals). For example, 3.6 liters and 4.1 liters can be combined as 7.7 liters or 7700 milliliters.

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