What is an integer?
Integers are the set of all whole numbers and their opposites.
What type of number could these words represent?
gain, deposit, above, bonus, income, earn, up
Positive numbers
Recorded temperatures in Antarctica for the past 5 years:
-35°C, -38°C, -32°C, -36°C, -34°C
Order these numbers from least to greatest
-38°C, -36°C, -35°C, -34°C, -32°C
What is the absolute value of -32?
32
Find the sum of 2.56 and 8.7
11.26
What are opposites?
when two numbers are the same distance from 0 on different sides of 0 on a number line.
What type of number could these words represent?
decrease, below, withdrawal, lower, reduce, down
Negative numbers
Recorded temperatures in Antarctica for the past 5 years:
-35°C, -38°C, -32°C, -36°C, -34°C
Write an inequality comparing the highest and lowest temperatures
-38°C < -32°C
OR
-32°C > -38°C
Solve: |25|
25
8.56
What is an inequality?
a mathematical sentence that shows the relationship between quantities that are not equal.
What is the opposite of -67?
67
Here's a set of bank-account withdrawals Monday through Friday:
$28, $45, $17, $32, $21
Which day had the smallest withdrawal?
Wednesday
Which number has a greater distance from zero:
-78, -92, |-77|, |-93|, |0|
|-93| = 93
What is the product of 15 and 17?
255
What is absolute value?
shows the distance from the number to zero on the number line.
What could be an example of -45 in real life?
Answers vary
Here's a set of bank-account withdrawals Monday through Friday:
$28, $45, $17, $32, $21
Order these withdrawals least to greatest
-$45, -$32, -$28, -$21, -$17
Recorded temperatures in Antarctica for the past 5 years:
-35°C, -38°C, -32°C, -36°C, -34°C
Write an inequality comparing the ABSOLUTE VALUE of highest and lowest temperatures
|-38°C| > |-32°C|
OR
|-32°C| < |-38°C|
What is the quotient of 45 ÷ 3
15
is the size or amount of a number, without considering its sign.
Hermes says that the opposite of 9 is 9 since each number is 9 units away from zero on the number line. Is Hermes correct? Why or why not?
No, the opposite of 9 is 9 units to the other side of zero. So the opposite of 9 is -9.
Here's a set of bank-account withdrawals Monday through Friday:
$28, $45, $17, $32, $21
Write an inequality comparing the highest and lowest withdrawals
-$45 < -$17
OR
-$17 > -$45
Here's a set of bank-account withdrawals Monday through Friday:
$28, $45, $17, $32, $21
Write an inequality comparing the ABSOLUTE VALUE of highest and lowest withdrawals
|-$45| > |-$17|
OR
|-$17| < |-$45|
CHALLENGE
Evaluate (Solve) when x = 7 and y = 4
4(x-3) + 2y -5
19