2. Measurement

3. Units of Weight/Mass

4. Before we get to the gory details, let’s just talk about the size of the units.
What unit would you use to measure the weight of a box of pasta?
pounds or ounces
What unit would you use to measure the weight of a car?
tons
What unit would you use to measure the weight of a letter?
ounces

5. Basic Equivalences – Weight/Mass
1 pound = 16 ounces
1 ton = 2,000 pounds

6. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many pounds is 40 ounces?
We are going from a smaller measure (ounces) to a larger measure (pounds)
so we have to divide.
= 2.5 pounds
Basic Equivalences
1 pound = 16 ounces
1 ton = 2,000 pounds

7. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many tons is 9280 pounds?
We are going from a smaller unit (pounds) to a larger unit (tons),
therefore divide.
= 4.64 tons
Basic Equivalences
1 pound = 16 ounces
1 ton = 2,000 pounds

8. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many ounces is 3.25 pounds?
We are going from a larger unit (pounds)
to a smaller unit (ounces)
therefore multiply.
3.25 × 16 = 52 ounces
Basic Equivalences
1 pound = 16 ounces
1 ton = 2,000 pounds

9. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many pounds is 3.45 tons?
We are going from a larger unit (tons)
to a smaller unit (pounds)
therefore multiply.
3.45 × 2000 = 7900 pounds
Basic Equivalences
1 pound = 16 ounces
1 ton = 2,000 pounds

10. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many ounces is 0.12 tons?
We are going from a larger unit (tons)
to a smaller unit (ounces), therefore multiply.
But we don’t have a conversion factor for tons to ounces, so first we have to convert the tons to pounds!
0.12 tons × 2000 = 240 pounds
240 pounds × 16 = 3,840 ounces
Basic Equivalences
1 pound = 16 ounces
1 ton = 2,000 pounds

11. Units of Capacity (liquid)

12. Standard Equivalences – Capacity/Volume
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces

13. What unit would you use to buy nail polish?
Fluid ounces
What unit would you use to fill your car with gas?
Gallons
What unit would you use to measure coffee for a party?
Depends on the party.

14. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many quarts is 6 pints?
We are going from a smallert unit (pints)
to a larger unit (quarts),
therefore divide.
6 2 = 3 pints
Standard Equivalences – Capacity
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces

15. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many ounces is 7 cups?
We are going from a larger unit (cups)
to a smaller unit (ounces),
therefore multiply.
7 x 8 = 56 ounces
Standard Equivalences – Capacity
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces

16. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many ounces is 1.5 quarts?
We are going from a larger unit (quarts)
to a smaller unit (ounces), therefore multiply.
But we don’t have a conversion factor for quarts to ounces,
so first we have to turn quarts into pints, and pints into cups, and cups into ounces.
1.5 quarts x 2 = 3 pints
3 pints x 2 = 6 cups
6 cups x 8 = 48 ounces
Standard Equivalences – Capacity
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces

17. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many gallons is 23 cups?
We are going from a smaller unit (quarts)
to a larger unit (ounces), therefore divide.
But we don’t have a conversion factor for gallons
to ounces,
so first we have to turn quarts into pints, and pints into cups, and cups into ounces.
Standard Equivalences – Capacity
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces

18. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
How many gallons is 23 cups?
23 cups 2 = 11.5 pints
11.5 pints 2 = 5.75 quarts
5.75 quarts 4 = gallons
Standard Equivalences – Capacity
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces

19. To change a measurement from a larger unit to a smaller unit– multiply
To change a measurement from a smaller unit
to a larger unit– divide
If there is no direct conversion factor,
You will have to go through intermediate steps
to complete the conversion.