Name: ________________________________________
Date: ____________________________
Period: _______
Mrs. Torres
6th Grade
Lesson: 11-1: Exploring Integers
Vocabulary Words:
1. Opposites – are two numbers that are the same distance from 0 on a numeric line, but in
opposite direction.
2. Integers – are the set of positive numbers, negative numbers and the zero. Zero is not positive
neither negative, it’s a neutral number.
3. Absolute Value – it is the distance of a number from zero, on a numeric line. The symbol for the
absolute value of a number n is /n/.
Representing situations with integers:
Examples:
1. Dry ice is solid carbon dioxide which freezes at about 109 degrees below zero Fahrenheit. Which
integer represents the freezing point of dry ice?
a. -109
b. -19
c. +19
d. +109
“Below zero” is the clue word, which means going down, when something is going down, decreasing,
that means that the answer is a negative number. So the answer will be a. -109 degrees.
2. The lowest elevation in New Orleans, Louisiana is 8 feet below sea level. Use a integer to
represent this elevation: _______
8 feet below sea level means going down, something that is below, so the integer will be a
negative number, so the answer is -8.
3. He climbs 30 ft. = ______
Climbs means going up, increasing, so the answer is a positive number = 30 or +30.
Practice: Write the integer that represents each situation:
1.
2.
3.
4.
5.
6.
7.
8.
Lost three pencils = ______
Gain 10 pounds = ______
She has a debt of $25 = _______
20 degrees below 0 = _____
He won $1,000 in the casino = ________
Lost 5 pounds = _____
4 degrees above 0 = _____
He received a credit of $100 = ______
Identifying the Opposite:
When you are going to identify the opposite, you have to change the direction of the units. If the
number is positive, you are going to the right side of the numeric line. The opposite with be going to the
left, so the number will be negative. If the number is negative, the opposite will be positive.
3 units
Example: Write the opposite of 3 = -3
-3
-2
-1
3 units
0
1
2
3
Write the opposite of -5 = _____
If the number is negative, the opposite is positive, so the answer is 5 or +5.
Write the opposite of 8 = _____
If the number is positive, the opposite is negative, so the answer is – 8.
Practice: Write the opposite of the following integers:
1.
2.
3.
4.
-10 = _____
13 = _____
-21 = _____
– 1,215 = ______
5. 14 = _____
6. – 340 = _______
7. 0 = _____
8. -1 = _____
Finding the absolute value of an integer: /n/
The Absolute Value is the distance between a number and zero, in other words you have to count how
many units are between the number and zero.
Example: Find /-4/ = ______
4 units
-4
-3
-2
-1
0
1
2
3
4
The absolute value of 4 means, how many units are between 4 and 0? There are 4 units between 4 and
0, so the answer is 4.
Find /2/ =____
-3
-2
-1
2 units
0
1
2
3
The absolute value of 2 means, how many units are between 2 and 0? There are 2 units between 2 and
0, so the answer is 2.
Practice: Find the absolute value of the following numbers:
1.
2.
3.
4.
/38/=_____
/-4/=_____
/-9/=_____
/-65/=_____
5. /15/=_____
6. /0/=_____
7. /-12/=_____
8. /10/=_____