Integers Worksheets Grade 8

If you're a grade 8 student or educator searching for comprehensive and effective worksheets on integers, you've come to the right place. Integers worksheets are crucial for practicing and mastering the fundamental concepts and operations associated with whole numbers and their negative counterparts.

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  Adding and Subtracting Integers Worksheet

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  7th Grade Math Worksheets

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What are integers?

Integers are whole numbers that can be positive, negative, or zero, and do not have fractional or decimal parts. These numbers are represented by the set of numbers {..., -3, -2, -1, 0, 1, 2, 3, ...} and can be used to represent quantities such as countable objects or positions on a number line.

How do you represent positive integers on a number line?

To represent positive integers on a number line, start by placing a dot at the origin (0) of the number line. Then, count from the origin to the right for each positive integer. For example, the number 1 is one unit to the right of 0, the number 2 is two units to the right of 0, and so on. Each positive integer will be represented by a point on the number line at a specific distance from the origin, with the distance corresponding to the value of the integer.

How do you represent negative integers on a number line?

To represent negative integers on a number line, you would move to the left of zero. For example, if you want to represent -3, you would move 3 units to the left of zero on the number line. Each unit to the left of zero represents a negative value. Negative integers are located to the left of zero on the number line, with the magnitude increasing as you move further to the left.

What is the difference between positive and negative integers?

Positive integers are numbers greater than zero, while negative integers are numbers less than zero. Positive integers are denoted with a plus sign (+) or without any sign, while negative integers are denoted with a minus sign (-). In mathematical operations, positive and negative integers interact with each other following specific rules, such as addition, subtraction, multiplication, and division.

How do you add integers together?

To add integers together, simply add the values of the integers. If both integers are positive, add them as you normally would. If one integer is negative, subtract the absolute value of the negative integer from the positive one. If both integers are negative, add them together and keep the negative sign. Remember that integers are whole numbers, whether positive or negative, and do not include fractions or decimals.

What happens when you add a positive and a negative integer together?

When you add a positive and a negative integer together, you are essentially subtracting the absolute value of the smaller number from the absolute value of the larger number. The sign of the result will be the same as the number with the larger absolute value.

How do you subtract integers?

To subtract integers, you can simply add the opposite. Subtracting a positive integer is like adding a negative integer. When subtracting integers, change the subtraction sign to addition and change the sign of the integer being subtracted. Then add the two integers together following the rules of adding integers.

How do you multiply integers together?

To multiply integers together, you simply multiply the numbers as you would with whole numbers and pay attention to the signs. If both numbers are positive, the product will be positive. If one number is negative, the product will be negative. So, multiply the absolute values of the integers and then assign the appropriate sign according to the rule mentioned above.

What are the rules for dividing integers?

When dividing integers, there are a few rules to keep in mind. If both numbers have the same sign (both positive or both negative), the result is positive. If the numbers have different signs, the result is negative. Additionally, when dividing integers, the absolute value of the dividend is divided by the absolute value of the divisor. If there is a remainder, it is usually expressed as a fraction or decimal.

How do you solve word problems involving integers?

To solve word problems involving integers, carefully read the problem to identify the information provided such as numbers, operations, and key words. Translate the information into mathematical equations or inequalities, considering the appropriate operations (addition, subtraction, multiplication, or division) for the problem. Perform the calculations step by step and remember to correctly apply the rules of integer operations (e.g., negative times negative is positive). Finally, interpret the solution within the context of the problem to ensure it makes sense. Practice and thorough understanding of integer operations will help in efficiently solving these types of word problems.