7th Grade Math Integers Worksheets Answers

For every 7th grade math student on the lookout for reliable worksheets to practice and master the concept of integers, search no further. This blog post is tailor-made for you! Whether you are a teacher searching for resources to engage your students or a parent seeking supplementary materials to help your child excel in math, these worksheets with detailed answers will be a valuable asset for teaching and learning integers.

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What are integers?

Integers are a set of whole numbers that can be positive, negative, or zero, and do not have any fractions or decimals. They include all the counting numbers (1, 2, 3...), their negatives (-1, -2, -3...), and zero (0).

How do you add integers with the same sign?

When adding integers with the same sign, you simply add the absolute values of the integers and keep the same sign. For example, when adding -4 and -2, you add 4+2 and keep the negative sign to get -6 as the result. Similarly, when adding 7 and 9, both positive, you add 7+9 to get 16 with a positive sign.

How do you subtract integers?

To subtract integers, you simply subtract the second integer from the first integer. If you are subtracting a positive integer, it is like adding a negative integer, so you can change the subtraction to addition by changing the sign of the number being subtracted. If both integers have the same sign, you subtract the absolute values and keep the same sign for the result.

How do you multiply integers?

To multiply integers, simply multiply the numbers together as you would with any other numbers, and then apply the rules of signs. If the integers have the same sign (both positive or both negative), the product will be positive. If the integers have different signs (one positive and one negative), the product will be negative. Multiply the absolute values of the integers first, and then determine the sign of the result based on the signs of the integers.

How do you divide integers?

To divide integers, you simply perform the division operation. If the integers have the same sign, divide their absolute values and the result is positive. If the integers have different signs, divide their absolute values and the result is negative. Remember that division by zero is undefined in mathematics.

How do you compare integers using greater than and less than symbols?

To compare integers using greater than and less than symbols, you simply place the symbols between the two integers you want to compare. If the integer on the left is greater than the integer on the right, you use the greater than symbol (>), and if the integer on the left is less than the integer on the right, you use the less than symbol (<). For example, 5 > 3 indicates that 5 is greater than 3, while 2 < 7 indicates that 2 is less than 7.

How do you order integers from least to greatest?

To order integers from least to greatest, you simply arrange them in ascending order starting from the smallest integer to the largest integer. This means you place the smallest negative number first, then zero (if it's in the set), followed by positive integers from smallest to largest.

How do you find the absolute value of an integer?

To find the absolute value of an integer, you simply ignore the sign of the number and take the positive value. So, if you have a positive integer, the absolute value remains the same; if you have a negative integer, you just remove the negative sign to get the absolute value.

How do you find the opposite of an integer?

To find the opposite of an integer, you simply change the sign of the number. If the integer is positive, make it negative; if it's negative, make it positive. For example, the opposite of 5 is -5, and the opposite of -8 is 8.

How do you solve real-world problems involving integers?

To solve real-world problems involving integers, first, clearly define the problem and what is being asked. Next, identify the integers involved and represent them with variables. Use the appropriate operations (addition, subtraction, multiplication, division) based on the problem's context. Apply mathematical properties and rules to perform the calculations. Finally, interpret the results in the context of the problem to provide a solution. Practice and familiarity with integer operations will help in efficiently solving real-world problems involving integers.