Integers Real-World Situations
What is the temperature if it is 5 degrees below zero?
-5
What is the absolute value of -7?
7
Where would you place the number -4 on a number line?
4 units left from zero.
Use the distributive property to simplify: 3(4+5).
12 + 15
What are integers?
Numbers that are whole and can be positive, negative, or zero.
If a submarine is at 500 feet below sea level, what integer represents its depth?
-500
If your bank account is at -15 dollars, what is the absolute value of your balance?
15
If you have the numbers -2, 0, and 3, which is furthest to the left on the number line?
3
If you have 5(x+2), what would the expression look like when using the distributive property?
5x + 10
True or False: All whole numbers are integers.
True.
If I owe $20, how would that be represented as an integer?
-20
Explain what absolute value means in a real-world context.
The distance from zero.
Plot -5 and 2 on a number line. Which number is larger?
2
How would you apply the distributive property to solve 2(3+7)?
6 + 14
Which of these is not an integer?
A) -5 B) 0 C) 3/4 D) 12
C) 3/4
A diver goes down 30 feet and then ascends 10 feet. What is their final position?
-40
What is the absolute value of the difference between -3 and 4?
What can you say about the relative positions of -1 and 1 on the number line?
They are the same distance from zero.
Write an expression using the distributive property that represents the sum of 12 and 8.
4(3+2)
Write the integers between -3 and 3.
-2, -1, 0, 1, 2
Write a statement comparing -10 and -5. Which is warmer?
-5
How does the absolute value of -20 compare to the absolute value of -15?
Since 20>1520 is greater than 15, the absolute value of -20 is greater than the absolute value of -15.
Explain how you can use a number line to compare -8 and -3.
-8 is eight units from zero. -3 is 3 units from zero.
Explain how the distributive property can help you find the total cost of 4 items that each cost x+2.
.
Explain how integers are used in real life (give an example).
Examples: temperatures below zero, elevation below sea level, money owed, etc.