Topic 1: Use Positive Rational Numbers

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What is a positive rational number?

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A positive rational number is a number that can be expressed as the quotient of two integers, where the numerator is a positive integer and the denominator is a non-zero integer.

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How do you calculate the total cost of an item sold by weight?

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Multiply the weight of the item by the price per unit weight. For example, if 15.5 pounds of trail mix is sold for $3.98 per pound, the total cost is 15.5 * 3.98 = $61.69.

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How do you determine how many items can be made from a given amount of material?

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Divide the total amount of material by the amount required for one item. For example, if Raven has 6 2/3 yards of fabric and each pillow requires 3/5 yard, she can make 11 pillows.

Front

What does it mean for an expression to be equivalent to a whole number?

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How do you compare the efficiency of two vehicles based on miles per gallon?

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To compare, divide the miles per gallon of one vehicle by the miles per gallon of the other. For example, Mike's car averages 39.2 mpg and Russ's car averages 9.8 mpg, so Mike's car is 4 times more efficient.

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What is the formula to find the number of items in a model based on total length and item length?

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Divide the total length of the model by the length of one item. For example, if a model train is 15 3/4 inches long and each car is 2 5/8 inches, there are 6 cars in the train.

Front

What is the process of dividing fractions?

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What is a mixed number?

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A mixed number is a whole number combined with a fraction. For example, 6 2/3 is a mixed number.

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How do you convert a mixed number to an improper fraction?

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Multiply the whole number by the denominator and add the numerator. For example, to convert 6 2/3 to an improper fraction: (6 * 3 + 2)/3 = 20/3.

Front

What is the significance of the denominator in a fraction?

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