**New York State Learning Education Standards and Core Curriculum**. Integers are negative numbers, zero and positive numbers. To compare integers, a number line can be used. On a number line, negative integers are on the left side of zero with the larger a negative number, the farther to the left it is. Positive
integers are on the right side of zero on the number line. If a number is to the left of another number it is said to be less than that number. In the coordinate plane, the x-axis is a horizontal line with negative numbers, zero and positive numbers. Read More...

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Using IntegersWorksheet/Answer keyUsing Integers

NY-7.NS. The Number System

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

NY-7.NS.1d. Apply properties of operations as strategies to add and subtract rational numbers.

NY-7.NS.2a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

NY-7.NS.2b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(ݑ/ݰݑ) = ޢȒݑ/ݰݑ = ްݑ/ݢȒݑ. Interpret quotients of rational numbers by describing real-world contexts.

NY-7.NS.2c. Apply properties of operations as strategies to multiply and divide rational numbers.

NY-7.EE. Expressions, Equations and Inequalities

Solve real-life and mathematical problems using numerical and algebraic expressions, equations and inequalities.

NY-7.EE.4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are rational numbers and x represents the unknown quantity. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

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