Basics
A positive
True or false: A positive integer + a positive integer will always equal a positive integer,
True
Whats the mistake
-15-15=0
Forgot to use same-change-change rule
-15+(-15)=-30
The temperature was -2 degrees and rose 5 degrees. What is the new temperature?
3 degrees
-6+-3=_____
What is |-18| ?
18
True or False: The "Same-Change-Change" rule is used to rewrite integer subtraction problems into addition.
True
What's the mistake?
-5-(-4)= -1
There is no mistake :)
A diver is at 10 feet below sea level and swims down another 8 feet. What is their new elevation?
-10-8
-10+(-8)= -18
-8+12=____
4
Do you need to use the Same-Change-Change rule to solve 4 + (-7)?
No, it's already addition.
True or False: When two integers have different signs, you add their absolute values and keep the sign of the larger number.
False.
You SUBTRACT their absolute values and keep the sign of the larger number.
What's the mistake?
-8 - (-5)= -13
Forgot to use the same-change-change rule.
-8+5= -3
You have $15 in your account and spend $22. What is your balance?
15-22
15+(-22)= -7
5-11=____
-6
When adding two negative integers, such as -4 + (-5), the sign of the final answer will always be...
Negative!
True or False: Adding two integers with the same sign will always result in a negative answer.
False.
Adding two positive integers gives a positive answer; adding two negative integers gives a negative answer
Whats the mistake?
-16+72=88
Added absolute values instead of subtracted.
A submarine at -30 feet rises 20 feet. What is its new position?
-10 feet
-7-(10)=____
-17
Complete the song:
Same signs _______ and ______ the sign,
Different signs ____________. Take the sign of the ____________ number, then you'll be exact. :)
Same signs ADD and KEEP the sign.
Different signs SUBTRACT. Take the sign of the LARGER number, then you'll be exact. :)
True or False: Adding a negative integer to a positive integer always moves you to the left on a number line.
True
Whats the mistake?
-25+(-25)+15= -65
-25+(-25)+15
-50+15
50-15=35
Keep sign of larger number: -35
A scuba diver starts at sea level, descends 5 feet, climbs up 10 feet, and finally dives down 6 feet. What is her position relative to sea level?
-5+10-6=
5-6= -1 foot
-4-9+(-2)=_____
-15