Add Subtract Multiply Divide Integers Practice Worksheet

Mastering the Basics: Add, Subtract, Multiply, and Divide Integers Practice Worksheet

Integers are whole numbers, either positive, negative, or zero, without a fractional part. Mastering the four basic operations - addition, subtraction, multiplication, and division - with integers is crucial for math proficiency. Here’s a comprehensive practice worksheet to help you reinforce your understanding of these operations.

Understanding Integer Operations

Before we dive into the practice exercises, let’s quickly review the rules for each operation:

• Addition: When adding integers with the same sign (both positive or both negative), you add their absolute values and keep the same sign. When adding integers with different signs, you subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value.
• Subtraction: Subtracting an integer is equivalent to adding its opposite. For example, a - b = a + (-b).
• Multiplication: When multiplying integers with the same sign, the result is always positive. When multiplying integers with different signs, the result is always negative.
• Division: When dividing integers with the same sign, the result is always positive. When dividing integers with different signs, the result is always negative. Division by zero is undefined.

Practice Exercises

Now, let’s put your knowledge to the test with some practice exercises!

Addition and Subtraction

1. 2 + 5 =
2. -3 + (-4) =
3. 7 - 2 =
4. -9 - (-1) =
5. 11 + (-8) =

Answers

1. 7
2. -7
3. 5
4. -8
5. 3

Multiplication

1. 4 × 9 =
2. -2 × (-3) =
3. 6 × (-8) =
4. -9 × 2 =
5. 1 × (-10) =

Answers

1. 36
2. 6
3. -48
4. -18
5. -10

Division

1. 18 ÷ 3 =
2. -12 ÷ (-4) =
3. 9 ÷ (-3) =
4. 15 ÷ 5 =
5. -20 ÷ 4 =

Answers

1. 6
2. 3
3. -3
4. 3
5. -5

Mixed Operations

Now, let’s try some mixed operations to test your understanding of the order of operations (PEMDAS):

1. 2 × 3 + 11 - 4 =
2. 10 - 3 + 2 × (-2) =
3. 9 ÷ (-3) + 2 =
4. 7 - 2 × 3 + 1 =
5. 11 + 4 × (-2) - 3 =

Answers

1. 9
2. 3
3. -1
4. 2
5. 2

Word Problems

Finally, let’s try some word problems that involve adding, subtracting, multiplying, and dividing integers:

1. Tom has 15 in his wallet. He spends 8 on a movie ticket and then finds $2 on the ground. How much money does Tom have now?
2. A bookshelf has 5 shelves, and each shelf can hold -3 boxes. How many boxes can the bookshelf hold in total?
3. A bakery sells 250 loaves of bread per day. If they make a profit of $0.50 per loaf, how much profit do they make in a day?
4. A group of friends want to share some candy equally. If they have 48 pieces of candy and there are 8 friends, how many pieces will each friend get?
5. A water tank can hold 1200 liters of water. If 300 liters of water are already in the tank, how much more water can be added?

Answers

1. $9
2. -15 boxes
3. $125
4. 6 pieces
5. 900 liters

📝 Note: Make sure to follow the order of operations (PEMDAS) when solving mixed operations problems.

Now that you’ve completed the practice worksheet, take a moment to review the answers and identify areas where you need more practice. With consistent practice and review, you’ll become a master of adding, subtracting, multiplying, and dividing integers in no time!

Related Terms:

• Subtraction integers worksheet
• Integers worksheet addition and subtraction