N 7.3 Understand the relationship among positive fractions, decimals and whole numbers.

Indicators for this outcome

(a)Predict the decimal representation of a fraction based upon patterns and justify the reasoning (e.g., knowing the decimal equivalent of 1/8 and 2/8, predict and verify the decimal representation of 7/8).

(b)Match a set of fractions to their decimal representations.

(c)Sort a set of fractions into repeating or terminating decimals.

(d)Explain and demonstrate how any terminating decimal can also be written as a repeating decimal.

(e)Express a fraction as a terminating or repeating decimal.

(f)Express a repeating decimal as a fraction.

(g)Express a terminating decimal as a fraction.

(h)Explain the relationship between fractions, decimals, and division.

(i)Provide an example where the decimal representation of a fraction is an approximation of its exact value.

(j)Order a set of numbers containing decimals, fractions, and/or whole numbers in ascending or descending orders and justify the order determined.

(k)Identify, with justification, a number that would be between two given numbers (decimal, fraction, and/or whole numbers) in an ordered sequence or shown on a number line.

(l)Identify incorrectly placed numbers within an ordered sequence or shown on a number line.

(m)Order the numbers in a set of numbers by using benchmarks on a number line such as 0, ½ , and 1.