Integers Worksheets Grade 6

Integers worksheets are an excellent tool for reinforcing and practicing essential math skills in grade 6. These worksheets provide students with opportunities to work with positive and negative numbers in various contexts and problem-solving activities. With a focus on developing a solid understanding of integers and their relationship to real-world situations, these worksheets are designed to engage and challenge students in their math learning journey.

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What are integers?

Integers are whole numbers that can be positive, negative, or zero, and do not include fractions or decimals. They include numbers like -3, 0, 4, and 7. These numbers are used in various mathematical operations and are essential in counting and measuring quantities.

How are positive integers different from negative integers?

Positive integers are greater than zero and count upwards, while negative integers are less than zero and count downwards. Additionally, positive integers are typically used to represent quantities or values above zero, while negative integers represent quantities or values below zero. Overall, positive integers and negative integers are distinct in their values and directions on the number line.

What is the absolute value of an integer?

The absolute value of an integer is the distance that the number is away from 0 on a number line, regardless of whether it is positive or negative. This means that it is the positive value of the number. For example, the absolute value of -3 is 3, and the absolute value of 5 is also 5.

How are integers represented on a number line?

Integers are represented on a number line by placing positive integers to the right of zero and negative integers to the left of zero. Each integer is assigned a specific point on the number line, with larger integers located farther away from zero in their respective positive or negative directions. This provides a visual representation of how integers relate to each other in terms of magnitude and direction.

How do you add integers with the same sign?

When adding integers with the same sign, you simply add their absolute values and keep the same sign for the sum. If both integers are positive, you add the numbers together. If both integers are negative, you add the absolute values and put a negative sign in front of the sum.

How do you subtract integers with different signs?

When subtracting integers with different signs, you need to change it to an addition problem. Simply subtract the absolute value of the two numbers, and then use the sign of the number with the larger absolute value. For example, when subtracting -5 from 3, you would add 5 to 3 to get 8, and use the sign of the number with the larger absolute value, which is 3 in this case.

What is the result when you multiply two integers with the same sign?

When you multiply two integers with the same sign, whether both are positive or both are negative, the result will always be a positive integer.

How do you divide integers?

You can divide integers by performing regular division, just like you would with any other numbers. Simply divide the dividend (the number being divided) by the divisor (the number it is being divided by). If the division results in a whole number, then the answer is an integer. If there is a remainder, you can either express the answer as a decimal or as a mixed number.

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, and if it is negative, make it positive. For example, the opposite of -5 is 5, and the opposite of 8 is -8.

How do you compare integers using the symbols <, >, and =?

To compare integers, you can use the following symbols: "<" signifies less than, ">" signifies greater than, and "=" signifies equal to. When comparing two integers, if the first integer is smaller than the second integer, you would use the "<" symbol. If the first integer is greater than the second integer, you would use the ">" symbol. If the two integers are equal, you would use the "=" symbol.