Adding subtracting multiplying and dividing positive and negative numbers worksheets

Multiplying Integers

Multiply the positive and negative numbers.

6th through 8th Grades

At the top of this worksheet, students are presented with shapes that have positive and negative integers in them. Students multiply similar shapes together. For example:Find the product of the numbers in the hexagons.

6th through 8th Grades

This multiplication table features negative and positive integers ranging from negative four through positive four.

6th through 8th Grades

Dividing Integers

Divide the positive and negative numbers.

6th through 8th Grades

Mixed Operations

Add, subtract, multiply, and divide integers on this practice worksheet. Includes 13 regular problems and 2 word problems.

6th through 8th Grades

Integer Number Lines

Here's a large number line (-20 to 20) that you can cut out and hang on the wall of your classroom.

5th through 7th Grades

Here's a large number line that you can cut out, assemble, and hang on your classroom wall.

5th through 7th Grades

See Also:

Pre-Algebra & Algebra Worksheets

Students will learn to evaluate expressions, solve equations, identify dependent/independent variables, and work with inequalities.

Number Lines

These number line worksheets can be used to teach students about integers, skip counting, addition, subtraction, and number patterns.

Sample Worksheet Images

Adding subtracting multiplying and dividing positive and negative numbers worksheets

Adding subtracting multiplying and dividing positive and negative numbers worksheets

Adding subtracting multiplying and dividing positive and negative numbers worksheets


The four basic arithmetic operations associated with integers are:

  • Addition of Integers
  • Subtraction of Integer
  • Multiplication of Integers
  • Division of Integers

Answer: There are some rules for adding, subtracting, multiplying, and dividing positive and negative numbers.

Before we start learning these methods of integer operations, we need to remember a few things. If there is no sign in front of a number, it means that the number is positive.

Explanation:

The following content shows the rules for adding, subtracting, multiplying, and dividing positive and negative numbers.

Adding Integers Rule:

Case 1: Signs are the same

If the signs are the same, add and keep the same sign.

  • (+) + (+) = Add the numbers and the answer is positive

           Example : 2 + 5 = 7

  • (‐) + (‐) = Add the numbers and the answer is negative

           Example : (-5) + (-4) = -9

Case 2: Signs are different

If the signs are different, subtract the numbers and use the sign of the larger number.

  • (+) + (‐) = Subtract the numbers and take the sign of the bigger number.

           Example: 7 + (-3) = 4

  • (‐) + (+) = Subtract the numbers and take the sign of the bigger number.

          Example: (-9) + 6 = -3

Subtracting Integers Rule:

To subtract a number from another number, the sign of the number (which is to be subtracted) should be changed and then this number with the changed sign should be added to the first number.

  • (+) - (+) = Change the sign of the number to be subtracted and add them up. The result takes the sign of the greater number.

            Example: (+6) – (+2)

                           = (+6) + (-2) = 6 - 2 = 4

  • (-) - (-) = Change the sign of the number to be subtracted and add them up.The result takes the sign of the greater number.

           Example: (-9) – (-6)

                         = (-9) + (+6) = -9 + 6 = -3

  • (+) - (-) = Change the sign of the number to be subtracted and add them up.

           Example: (+5) – (-3)

                         = (+5) +(+3) = 5 + 3 = 8

  • (-) - (+) =  Change the sign of the number to be subtracted and add them up. Result is always negative

           Example: (-7) – (+2)

                         = (-7) + (-2) = -7 - 2 = -9

Multiplying and Dividing Integers Rule:

Case 1: Signs are same

If the signs are the same, the answer is always positive.

  • (+) × (+) = + 

           Example: 5 × 4 = 20

  • (+) ÷ (+) = +

           Example: 16 ÷ 4 = 4

  • (‐) × (‐) = + 

           Example: (-7) × (-9) = 63

  • (‐) ÷ (‐) = +

            Example: (-20) ÷ (-2) = 10

Case 2: Signs are different

If the signs are different, the answer is always negative.

  • (+) × (‐) = ‐

           Example: 6 × (-10) = -60

  • (+) ÷ (‐) = ‐

           Example: 30 ÷ (-15) = -2

  • (‐) × (+) = ‐

           Example: -3 × 11 = 33

    • (‐) ÷ (+) = ‐

               Example: -25 ÷ 5  = -5

    Thus, these are the rules to add, subtract, multiply and divide positive and negative numbers.

    What are the rules for multiplying positive and negative numbers?

    RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive. RULE 3: The product of two negative integers is positive.

    How do you divide a positive number by a negative number?

    Rule 2: A positive number divided by a negative number equals a negative number. When you divide a negative number by a positive number, your answer is a negative number. As with multiplication, it doesn't matter which order the positive and negative numbers are in, the answer is always a negative number.