Integers Worksheets for 5th Grade

Are you a 5th grade student looking for practice with integers? Look no further! Integers worksheets can provide the perfect opportunity for you to enhance your understanding and mastery of this important mathematical concept. With a variety of exercises focusing on addition, subtraction, multiplication, and division of integers, these worksheets will help you solidify your skills and become confident in working with numbers.

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What is an integer?

An integer is a whole number, either positive, negative, or zero, that does not have a fractional or decimal part. Integers can be represented on the number line without any gaps between them. Examples of integers include -3, 0, 5, and -10.

What is the difference between positive and negative integers?

Positive integers are numbers greater than zero, such as 1, 2, 3, while negative integers are numbers less than zero, such as -1, -2, -3. The main difference is the sign associated with the numbers, with positive integers referring to values that are above zero and negative integers referring to values that are below zero.

How do you represent integers on a number line?

Integers are represented on a number line by assigning each integer a specific point along the line. The integer 0 is placed at the center, positive integers are located to the right, and negative integers are placed to the left. Each integer is equally spaced along the number line, with larger numbers located further from 0 in their respective direction. This allows for a visual representation of the relationship between different integers and their magnitudes.

What is the absolute value of an integer?

The absolute value of an integer is the non-negative value of the number, regardless of its sign. This means that if the integer is positive, its absolute value remains the same, and if the integer is negative, its absolute value is the positive value of that number.

How do you add two integers with the same sign?

To add two integers with the same sign, simply add the absolute values of the integers and keep the same sign. For example, if you are adding +5 and +2, it would be 5 + 2 = 7 or if you are adding -3 and -7, it would be -3 + -7 = -10.

How do you subtract integers with different signs?

When subtracting integers with different signs, you can treat it as adding the opposite. Subtracting a negative integer is the same as adding a positive integer. To subtract integers with different signs, you subtract their absolute values and keep the sign of the number with the greater absolute value. For example, when subtracting -5 from 3, you can see it as 3 + (-5), which equals -2.

How do you multiply two integers?

To multiply two integers, you simply multiply the two numbers together. The result is the product of the two integers. For example, to multiply 4 and 5, you would multiply 4 by 5 to get 20.

How do you divide integers?

To divide integers, you perform the division operation as you normally would. If the division result is a whole number, the quotient will also be an integer. However, if there is a remainder, the quotient may be a decimal or a fraction. Remember that when dividing integers, pay attention to the signs to determine if the result is positive or negative based on the rules of integer division.

What is the order of operations for evaluating integer expressions?

The order of operations for evaluating integer expressions is as follows: Parentheses first, Exponents next, then Multiplication and Division from left to right, and finally Addition and Subtraction from left to right. This order is commonly remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

How do you solve word problems involving integers?

To solve word problems involving integers, carefully read the problem and identify the key information such as the operations (+,-,x,/) involved and the relationship between the numbers. Translate the information into a mathematical equation or inequality and identify the unknown variable. Solve the equation or inequality using the appropriate operations, considering the rules of integers such as adding or subtracting numbers positive or negative. Finally, check your solution by plugging it back into the original problem to ensure it satisfies all given conditions.