Grade: Grade 6 Subject: Mathematics Unit: Integers SAT: Algebra ACT: Math

Guided Practice with Integers

Work through integer problems step-by-step with hints and feedback to build your confidence.

How to Use This Practice

Step-by-Step Learning

Each problem breaks down into small steps. Complete each step before moving to the next. You will get instant feedback to help you learn!

Quick Review: Integer Rules

  • Adding same signs: Add the numbers, keep the sign
  • Adding different signs: Subtract, use sign of larger absolute value
  • Subtracting: Add the opposite (keep-change-change)
  • Multiplying/Dividing: Same signs = positive, different signs = negative

Guided Problems

Guided Problem 1: Adding Integers

-14 + (-8) = ?
Hint: Both numbers are negative. What do you do when adding numbers with the same sign?
1

Are the signs the same or different?

2

Add the absolute values: |14| + |8| = ?

3

Since both numbers are negative, the answer is:

Guided Problem 2: Subtracting Integers

5 - 13 = ?
Hint: Remember Keep-Change-Change! Keep the first number, change subtraction to addition, change the sign of the second number.
1

Rewrite as addition: 5 - 13 = 5 + ?

2

Now we have 5 + (-13). The signs are different. Find |13| - |5| = ?

3

Since 13 > 5 and 13 is negative in our problem, the answer is:

Guided Problem 3: Multiplying Integers

(-6) x 7 = ?
Hint: First determine the sign of the answer, then multiply the absolute values.
1

One number is negative, one is positive. Will the answer be positive or negative?

2

Multiply the absolute values: 6 x 7 = ?

3

Apply the negative sign. The final answer is:

Guided Problem 4: Dividing Integers

(-72) / (-9) = ?
Hint: Both numbers are negative. What happens when you divide two negatives?
1

Both numbers are negative (same signs). Will the answer be positive or negative?

2

Divide the absolute values: 72 / 9 = ?

3

Since both numbers are negative, the answer is positive:

Independent Practice

Now try these problems on your own! Use what you learned in the guided practice.

Problem 1

-9 + (-16) = ?

Problem 2

8 - 15 = ?

Problem 3

-7 - (-12) = ?

Problem 4

(-9) x (-8) = ?

Problem 5

(-54) / 6 = ?

Problem 6

15 + (-23) = ?

Problem 7

(-11) x 4 = ?

Problem 8

(-63) / (-7) = ?

Your Progress

Independent Practice Score

0 of 8 correct

Keep Going! The more you practice, the more automatic these rules become. Soon you will solve integer problems without even thinking about the steps!

Next Steps

Great Work!

  • You have practiced all four integer operations with guidance
  • You completed independent practice problems
  • Next, apply these skills to real-world word problems!