Worksheets for 7th Grade Integers and Variable
If you're a 7th-grade student or a teacher searching for high-quality worksheets that focus on integers and variables, you've come to the right place. We understand the importance of providing engaging and comprehensive materials that cover these crucial concepts in mathematics.
Table of Images 👆
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- Improper Fractions as Mixed Numbers Worksheet
- Order of Operations Worksheets 5th Grade Math
- Two-Step Equation Word Problems Worksheets
- 1 Step Word Problems Worksheets
- One Step Inequalities Worksheet
- Adding Integers Worksheets 7th Grade with Answer Key
- 5th Grade Multiplication Worksheets
- Exponents Worksheets
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What is an integer?
An integer is a whole number that can be positive, negative, or zero, without any decimal or fractional parts. It is part of the set of numbers that includes both the natural numbers and their additive inverses.
How are positive and negative integers represented on a number line?
Positive integers are represented to the right of zero on a number line, while negative integers are represented to the left of zero. The further a number is from zero, the greater its value, with positive numbers increasing as you move right and negative numbers decreasing as you move left on the number line.
What is the absolute value of an integer?
The absolute value of an integer is its distance from zero on the number line, ignoring the sign. It is always a non-negative number, as it represents the magnitude of the integer without considering its direction.
How do you add two integers with the same sign?
To add two integers with the same sign, simply add their absolute values together and keep the same sign. For example, to add 5 and 3 (both positive), you would add their absolute values (5 + 3 = 8) and maintain the positive sign, resulting in 8. Similarly, if you were to add -7 and -2 (both negative), you would add their absolute values (7 + 2 = 9) and keep the negative sign, resulting in -9.
How do you subtract two integers?
To subtract two integers, simply take the number being subtracted and subtract it from the initial integer. For example, to subtract 5 from 10, you would calculate 10 - 5, which equals 5. The result of the subtraction is the difference between the two integers.
How do you multiply negative and positive integers?
To multiply negative and positive integers, you simply multiply the numbers together as usual and then determine the sign of the result. A negative number multiplied by a positive number will always result in a negative number, while a positive number multiplied by a negative number will also result in a negative number. When multiplying two negative numbers, the result will be positive, since two negatives make a positive.
How do you divide integers?
To divide integers, you can simply perform the division operation as you would with any other numbers. If both integers are positive, the result will also be positive. If one integer is negative, the result will be negative. If both integers are negative, the result will be positive. Remember to divide the absolute values of the numbers and then determine the sign of the result based on the rules mentioned.
What is a variable?
A variable is a named storage location in a computer program that holds a value, which can be changed and manipulated as the program executes. It is used to store data that may vary during the execution of a program and is essential for performing calculations, making decisions, and storing information in computer programs.
How do you solve an equation with a variable?
To solve an equation with a variable, you typically isolate the variable by performing operations on both sides of the equation until the variable is singular and has a specific value. This involves simplifying the equation by combining like terms, applying inverse operations (such as addition, subtraction, multiplication, and division) to both sides to isolate the variable, and then solving for the variable by finding its value that satisfies the equation. Remember to perform the same operation on both sides of the equation to maintain its equality.
How do you evaluate an expression with variables?
To evaluate an expression with variables, you substitute the given values for the variables in the expression and then simplify the expression using the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Make sure to follow the rules of algebra and perform any necessary calculations to arrive at a final numerical answer.
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