Virginia SOL Math / Grade 6 / Computation & Estimation

6.CE.2

Operations with Integers

What you'll learn

  • Add, subtract, multiply, and divide integers
  • Solve single-step and multistep problems with integers
  • Model integer operations on a number line

Words to know

Integer —
a whole number or its opposite, including 0
Sum —
the answer to an addition problem
Difference —
the answer to a subtraction problem
Quotient —
the answer to a division problem
Sign —
whether a number is positive or negative

Why it matters Bank balances, temperature changes, and score swings all move up and down, so operating with integers keeps track of the result.

Worked examples

Model ItI do

Find -6 + 4.

Start at -6 on a number line and move 4 to the right, landing on -2. Adding a positive moves right, so -6 + 4 = -2.

Try It TogetherWe do

Find -3 times -5.

A negative times a negative gives a positive. Multiply the values: 3 times 5 = 15, so -3 times -5 = 15.

Now YouYou do

Find 8 - 12.

Subtracting a larger number gives a negative result; count down or add the opposite. Check your answer in the back of this chapter.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

  1. 1.Find -3 + 8.

  2. 2.Find 5 - 9.

  3. 3.Find -2 times 4.

On Level

The core Quick Check from the book.

  1. 1.Find -7 + 10.

  2. 2.Find -4 - 5.

  3. 3.Find -6 times 3.

  4. 4.Find -20 divided by -4.

  5. 5.The temperature was 2 degrees, then dropped 9 degrees. What is the new temperature?

Challenge

Stretch your thinking.

  1. 1.Find -6 - (-10).

  2. 2.Find -4 times -3 times 2.

  3. 3.A submarine at -80 feet rises 25 feet, then dives 40 feet. What is its final depth?