7.3.5: Number Relationships: Describe, Interpret and use quantities, relationships between quantities, representations of quantities, and number systems. Describe operations and the relationship between operations. Use strategies and procedures accurately, efficiently and flexibly. Assess the reasonableness of the results.

Number Relationships: Describe, Interpret and use quantities, relationships between quantities, representations of quantities, and number systems. Describe operations and the relationship between operations. Use strategies and procedures accurately, efficiently and flexibly. Assess the reasonableness of the results.

7.3.5.01Know that every rational number can be written as the ratio of two integers and as a terminating or repeating decimal. Recognize that pi is not rational but that it can be approximated by rational numbers such as 22/7 and 3.14.7.3.5.02Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line. Recognize that the opposite of the opposite of a number is the number itself, such as -(--3) = 3. Recognize that 0 is its own opposite.7.3.5.03Compare positive and negative rational numbers expressed in various forms including the symbols <, >, =, less than or equal to and greater than or equal to.7.3.5.04Recognize subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference and apply this principle in contexts.7.3.5.05Create a budget using positive and negative rational numbers for an event and calculate what percentage of the total budget each category comprises. Justify choices of the allocation of the available resources.7.3.5.06Solve mathematical situations involving adding, subtracting, multiplying and dividing positive and negative rational numbers that are integers, fractions and terminating decimals. Use efficient and generalizable procedures. Raise positive rational numbers to whole-number exponents.7.3.5.07Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

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