7th Grade Math Worksheets Integers Printable

Are you in search of effective and engaging learning materials to reinforce 7th-grade math concepts? Look no further! Introducing our collection of printable worksheets specifically designed to help seventh-grade students master integers. These worksheets provide an excellent platform for students to practice essential integer skills in an interactive and comprehensive manner.

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What are integers?

Integers are whole numbers, both positive and negative, including zero. They do not have any decimal or fractional parts. Examples of integers are -3, 0, 7, and 99.

How do you add integers?

To add integers, simply combine the numerical values, giving consideration to the signs. If the signs are the same, add the numbers together and keep the sign. If the signs are different, subtract the smaller number from the larger number and keep the sign of the larger number.

How do you subtract integers?

To subtract integers, you simply subtract the second number from the first number. If the second number is positive, you treat it as adding its negative value. If the second number is negative, you treat it as adding its positive value. For example, to subtract 5 from 10, you would do 10 - 5 = 5. To subtract -5 from 3, you would do 3 + 5 = 8.

How do you multiply integers?

To multiply integers, you simply multiply the numbers together. If the integers have the same sign, the result is positive. If they have different signs, the result is negative. Multiply the absolute values of the integers and then determine the sign based on their original signs.

How do you divide integers?

To divide integers, you simply perform division as you would with any other numbers, by dividing the numerator by the denominator. The result can be a whole number, a fraction, or a decimal, depending on the numbers being divided. Remember to be mindful of the rules of integer division, such as understanding how positive and negative integers interact, and always consider whether the result should be rounded up or down.

What are absolute values of integers?

The absolute value of an integer is the distance of that integer from zero on the number line, disregarding the direction or sign. It is always a non-negative value, as it represents the magnitude of the number without considering whether it is positive or negative.

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

To compare integers using the less than (<) and greater than (>) symbols, you simply place the symbol between the two integers to indicate which one is smaller or larger. For example, if you have the integers 5 and 8, you would write 5 < 8 since 5 is less than 8. Similarly, you would write 8 > 5 to show that 8 is greater than 5.

How do you order integers from least to greatest and vice versa?

To order integers from least to greatest, you simply arrange them in ascending order from smallest to largest. If you have a list of integers, compare each pair of numbers and place them in order. Conversely, to order integers from greatest to least, you arrange them in descending order from largest to smallest. Just compare each pair of numbers and arrange them in reverse order.

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 word problems involving integers?

To solve word problems involving integers, carefully read the problem to understand the situation being described. Identify the key information and translate it into mathematical expressions using addition, subtraction, multiplication, or division. Determine the appropriate operation based on the problem's context, and perform the calculations to find the answer. Ensure to consider the sign of the integers involved and apply the rules of integer operations accordingly. Finally, remember to check your solution to ensure that it makes sense in the context of the original problem.