7.NR.1

Solve relevant, mathematical problems, including multi-step problems, involving the four operations with rational numbers and quantities in any form (integers, percentages, fractions, and decimal numbers).

7.NR.1.1Show that a number and its opposite have a sum of 0 (are additive inverses). Describe situations in which opposite quantities combine to make 0.7.NR.1.10Convert rational numbers between forms to include fractions, decimal numbers and percentages, using understanding of the part divided by the whole. Know that the decimal form of a rational number terminates in 0s or eventually repeats.7.NR.1.11Solve multi-step, contextual problems involving rational numbers, converting between forms as appropriate, and assessing the reasonableness of answers using mental computation and estimation strategies.7.NR.1.2Show and explain p + q as the number located a distance |q| from p, in the positive or negative direction, depending on whether q is positive or negative. Interpret sums of rational numbers by describing applicable situations.7.NR.1.3Represent addition and subtraction with rational numbers on a horizontal or a vertical number line diagram to solve authentic problems.7.NR.1.4Show and explain 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 contextual situations.7.NR.1.5Apply properties of operations, including part-whole reasoning, as strategies to add and subtract rational numbers.7.NR.1.6Make sense of multiplication of rational numbers using realistic applications.7.NR.1.7Show and explain that integers can be divided, assuming the divisor is not zero, and every quotient of integers is a rational number.7.NR.1.8Represent the multiplication and division of integers using a variety of strategies and interpret products and quotients of rational numbers by describing them based on the relevant situation.7.NR.1.9Apply properties of operations as strategies to solve multiplication and division problems involving rational numbers represented in an applicable scenario.
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