1. The Chef’s Amazing Soup
Adding and Subtracting Integers

2. The Chef’s Amazing Soup
In a far-off land, there was once a team of amazing chefs who cooked up the most wonderful soups ever imagined.
They prepared their mixtures over a huge cauldron, and their work was very delicate and complex. During the cooking process, they frequently had to change the temperature of the cauldron in order ot bring out certain flavors and cook the soup to perfection.

3. The Chef’s Amazing Soup
They adjusted the temperature of the soups either by adding special hot cubes or cold cubes to the cauldron or by removing some of the hot or cold cubes that were already in the cauldron. The cold cubes were similar to ice cubes except they didn’t melt, and the hot cubes were similar to charcoal briquettes, except they didn’t lose their heat. - +

4. The Chef’s Amazing Soup
One positive and one negative make a zero pair!
If the number of hot cubes in the cauldron was the same as the number of cold cubes, the temperature of the cauldron was 0° on their temperature scale. For each hot cube that was put into the cauldron, the temperature went up one degree; for each hot cube removed, the temperature went down one degree. Similarly, each cold cube put in lowered the temperature one degree and each cold cube removed raised it one degree. + -
= 1°
= -1°
= 0° + -
= 1°
= -1°

5. The Chef’s Amazing Soup
Remember: One positive and one negative make a zero pair! So cross out all zero pairs.
The chefs used positive and negative numbers to keep track of the changes they were making to the temperature. + + + +
4 hot cubes were added - - -
Then 3 cold cubes were added
4 – 3 = 1°

6. The Chef’s Amazing Soup
Remember: One positive and one negative make a zero pair! So cross out all zero pairs.
The chefs used positive and negative numbers to keep track of the changes they were making to the temperature. + +
2 hot cubes were added - - - -
Then 4 cold cubes were added
2 – 4 = -2°

7. The Chef’s Amazing Soup
There are no zero pairs, so you need to find out how many cold cubes all together!
The chefs used positive and negative numbers to keep track of the changes they were making to the temperature. - -
2 cold cubes were added - - - - -
Then 5 more cold cubes were added
-2 -5 = -7°

8. The Chef’s Amazing Soup
Hey wait a minute! I don’t have cold cubes to remove! Add zero pairs so I can remove 4 cold cubes without changing the value of 3 hot cubes.
The chefs used positive and negative numbers to keep track of the changes they were making to the temperature. + + +
3 hot cubes were added + + + +
Then 4 cold cubes were removed - - - -
3 – (-4) = 7°

9. The Chef’s Amazing Soup
Practice: Try this on your own with blue and red squares or plus and minus signs. Then check your answer.
4 cold cubes were added
Then 3 hot cubes were added - - - - + + +
= -1°

10. The Chef’s Amazing Soup
Practice: Try this on your own with blue and red squares or plus and minus signs. Then check your answer.
2 cold cubes were added
Then 6 hot cubes were added - - + + + + + +
= 4°

11. The Chef’s Amazing Soup
Practice: Try this on your own with blue and red squares or plus and minus signs. Then check your answer.
2 hot cubes were added
Then 4 cold cubes were removed + + + + + + - - - -
2 – (-4) = 6°

12. The Chef’s Amazing Soup
Practice: Try this on your own with blue and red squares or plus and minus signs. Then check your answer.
8 cold cubes were added
Then 3 cold cubes were removed - - - - - - - -
-8 – (-3) = -5°