Virginia SOL Math / Grade 6 / Number & Number Sense

6.NS.2

Integers

What you'll learn

  • Represent integers on a number line and in context
  • Compare and order integers using >, <, and =
  • Identify the absolute value and the opposite of an integer

Words to know

Integer —
a whole number or its opposite, including 0
Negative number —
a number less than zero
Opposite —
two numbers the same distance from 0 on opposite sides
Absolute value —
the distance a number is from 0, always positive
Number line —
a line that shows numbers in order

Why it matters Integers describe temperatures below zero, elevations below sea level, and money owed, so we can compare gains and losses.

Worked examples

Model ItI do

Compare -5 and -2 using > or <.

On a number line, numbers farther left are smaller. Since -5 is to the left of -2, we write -5 < -2. The opposite of -5 is 5.

Try It TogetherWe do

Order -3, 4, 0, and -6 from least to greatest.

The most negative number is smallest. From left to right on the number line the order is -6, -3, 0, 4.

Now YouYou do

What is the absolute value of -8, written as |-8|?

Find the distance from 0 on the number line. Check your answer in the back of this chapter.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

  1. 1.What is the opposite of 6?

  2. 2.Find the absolute value: |-5|.

  3. 3.Write >, <, or = : -2 ___ 3

On Level

The core Quick Check from the book.

  1. 1.Write >, <, or = : -7 ___ -4

  2. 2.What is the opposite of 9?

  3. 3.Find the absolute value: |-12|.

  4. 4.Order from least to greatest: 2, -5, -1, 3.

  5. 5.Which is colder: a temperature of -3 degrees or -8 degrees?

Challenge

Stretch your thinking.

  1. 1.Order from least to greatest: -8, |5|, -1, |-10|.

  2. 2.Which is greater: |-9| or |7|?

  3. 3.A diver is at -15 feet and a fish is at -9 feet. Which is deeper, and by how many feet?