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Measurement

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Units of Weight/Mass

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**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

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**Basic Equivalences – Weight/Mass**

1 pound = 16 ounces 1 ton = 2,000 pounds

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**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

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**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

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**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

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**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

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**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

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**Units of Capacity (liquid)**

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**Standard Equivalences – Capacity/Volume**

1 gallon = 4 quarts 1 quart = 2 pints 1 pint = 2 cups 1 cup = 8 fluid ounces

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**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.

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**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

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**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

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**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

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**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

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**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

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**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.

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