Working with negative integers
What integers are, placing them on a number line, ordering them, and using negative numbers in real situations such as temperature.
Integers on the number line
Integers are the whole numbers and their negatives: $\ldots, -3, -2, -1, 0, 1, 2, 3, \ldots$. Zero is neither positive nor negative.
Numbers further to the right are larger. Each integer has an opposite the same distance from zero on the other side.
Negative numbers in real life
The temperature is $4^\circ$C and falls by $9^\circ$C. What is the new temperature?
Write these in order from smallest to largest: $3, -8, 0, -1, -12$.
Which is the largest?
$-2$ is closest to zero, so furthest right.
The temperature is $4^\circ$C and falls by $9^\circ$C. Find the new temperature.
$4 - 9 = -5$.
Which is true?
$-4$ is to the right of $-6$.
What is the smallest of $3, -8, 0, -1, -12$?
It is furthest left.
How many units apart are $-4$ and $7$ on a number line?
$4$ to zero, then $7$ more.
A diver is $50$ m below sea level. Write this as an integer.
Below sea level is negative.
What is the opposite of $-9$?
Same distance from zero, other side.
Is zero positive or negative?
Zero sits between them.
New numbers every time. Keep going until you get five in a row.
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