Adding integers
-5+8
3
9 - 14
-5
-3/4 + 5/8
-1/8
-2.5 + 4.7
2.7
What is the rule for adding integers with the SAME signs?
Add the numbers and keep the same sign.
-7 + (-9)
-16
-24-(-16)-(-13)=
5
-2 1/3 - 1 5/6
-4 1/6
-83.2-48.1
-131.3
What is the rule for adding integers with DIFFERENT signs?
Subtract the absolute values and keep the sign of the number with the greater absolute value.
The temperature was -8°F in the morning. By afternoon, it increased 13°F. What was the afternoon temperature?
5°F
The temperature is 6°F. Overnight, it drops 14°F. What is the new temperature?
-8°F
A diver is 3 1/2 feet below sea level. The diver rises 1 3/4 feet. What is the diver's new elevation?
-1 3/4 feet
The temperature is -3.5°F and increases 8.2°F. What is the new temperature?
4.7°F
What does KCC stand for when subtracting integers?
Keep the first number, Change subtraction to addition, Change the sign of the second number.
A football team loses 12 yards on one play and 7 yards on the next. What is the total change in yards?
-19 yards
A diver is 18 feet below sea level. Another diver is 7 feet above sea level on a platform. What is the difference in their elevations?
25 feet
The temperature was -2 2/3°F in the morning. By afternoon, it increased 4 5/6°F. What was the afternoon temperature?
2 1/6°F
A bank account has a balance of -$12.50. You deposit $7.85. What is the new balance?
-$4.65
When subtracting a negative integer, what happens to the subtraction sign and the second number's sign?
The subtraction changes to addition, and the negative second number becomes positive.
A submarine is 45 feet below sea level. It descends 18 feet, then rises 27 feet. What is its final elevation?
-36 feet
The temperature in a city was -12°F on Monday and 9°F on Tuesday. How much warmer was Tuesday than Monday?
21°F
A submarine starts 4 1/2 miles below sea level. It rises 2 3/4 miles, then descends 3 1/3 miles. What is its final elevation?
-5 1/12 miles
A submarine is at -15.75 meters. It rises 8.6 meters, then descends 12.35 meters. What is its final elevation?
-19.5 meters
-15-(-8)+(-12)
-19