© Boardworks 20141 of 10

Integers

© Boardworks 20142 of 10

Information

© Boardworks 20143 of 10

Decimals and fractions are not integers.

negative integers positive integers

Introducing integers

–10 –9–8 –7–6–5–4–3–2–1 0 1 2 3 4 5 6 7 8 9 10

Integers are whole numbers.

Integers can be positive or negative. Zero is also an integer.

Which of the following numbers are integers?

99120,945 80.5 –695 0 2 3/417 –0.9

© Boardworks 20144 of 10

–4–4

Opposites

–10–9–8 –3–2 –10 1 2 3 4 5 6 7 8 9 10

Each integer has an opposite on the other side of zero.

4 5 6

What is the opposite of 620,050?

What is the opposite of the opposite of 620,050?

–620,050

620,050

–5–5–6–6–7

© Boardworks 20145 of 10

The integer zero

© Boardworks 20146 of 10

Numbers on the right of a number line are always larger than numbers to the left, no matter whether they are negative or positive. Therefore, –4 is larger than –10.

Ordering negative integers

Which number is the largest: –10 or –4?

–10 –8 –6 –4 –2 –10 1 2 3 4 5 6 7 8 9 10–10 –4–7–9

Which of these numbers is the smallest?

–1 –12–46 –360–687 –1,850–1,850

–5 –3

© Boardworks 20147 of 10

Ordered paths

© Boardworks 20148 of 10

Comparing temperatures

© Boardworks 20149 of 10

Integers at the school cafeteria

Taylor has $–5 in her lunch account at the start of the week. She can only buy lunch if her account balance is positive.

Taylor adds $5 to her account.

1. What is the value of her account balance now?

2. What can she buy on the menu?

3. How much more would she need to add before she can buy a banana?

© Boardworks 201410 of 10

Integers basketball