5.NF.B

Perform operations and solve problems with fractions and decimals.

5.NF.B.4Estimate results of sums, differences and products with fractions and decimals to the thousandths.5.NF.B.5Justify the reasonableness of a product when multiplying with fractions.5.NF.B.5aEstimate the size of the product based on the size of the two factors.5.NF.B.5bExplain why multiplying a given number by a fraction greater than 1 results in a product larger than the given number.5.NF.B.5cExplain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number.5.NF.B.5dExplain why multiplying the numerator and denominator by the same number is equivalent to multiplying the fraction by 1.5.NF.B.6Solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators, and justify the solution.5.NF.B.7Extend the concept of multiplication to multiply a fraction or whole number by a fraction.5.NF.B.7aRecognize the relationship between multiplying fractions and finding the areas of rectangles with fractional side lengths.5.NF.B.7bCalculate and interpret the product of a fraction by a whole number and a whole number by a fraction.5.NF.B.7cCalculate and interpret the product of two fractions less than one.5.NF.B.8Extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations.5.NF.B.8aCalculate and interpret the quotient of a unit fraction by a non-zero whole number.5.NF.B.8bCalculate and interpret the quotient of a whole number by a unit fraction.
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