Integers

Hey Baby, What's your sign? Which is the COLDER temperature? =====================================================
 * 0 || -2 ||
 * 0 || 2 ||
 * 0 || 10 ||
 * 1 || -10 ||
 * -10 || 10 ||
 * 5 || -5 ||
 * 50 || 40 ||
 * 90 || 100 ||
 * 0 || 50 ||
 * 0 || -8 ||
 * 0 || -80 ||
 * 0 || -25 ||
 * -1 || -25 ||
 * -3 || -25 ||
 * 25 || 0 ||
 * 10 || 0 ||
 * 1 || 0 ||
 * -19 || 0 ||
 * -10 || -1 ||
 * -10 || -9 ||
 * -10 || -9 ||

Integer Song for addition & subtraction Same sign, Add and Keep , Different sign, Subtract . Take the sign of the "bigger number," (number farther from zero) Then it'll be exact. ===============================The Chef's Hot and Cold Cubes


 * The Story**

In a far-off place, there was once a team of amazing chefs who cooked up the most marvelous food ever imagined.

They prepared their meals 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 to bring out the flavors and cook the food to perfection.

They adjusted the temperature of the cooking 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 that they didn’t melt, and the hot cubes were similar to charcoal briquettes, except they didn’t lose their heat.

If the number of cold cubes in the cauldron was the same as the number of hot cubes, the temperature of the cauldron was 0 degrees on their temperature scale.

For each hot cube that was put in 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.

The chefs used positive and negative numbers to keep track of their changes they were making to the temperature.

For example, suppose 4 hot cubes and 10 cold cubes were dumped into the cauldron. Then the temperature would be lowered by 6 degrees altogether, since 4 of the 10 cold cubes would balance out the 4 hot cubes, leaving 6 cold cubes to lower the temperature 6 degrees. They would write +4 + -10 = -6 to represent these actions and their overall result.

Similarly, if they added 3 hot cubes and then removed 2 cold cubes, the combined result would be to raise the temperature 5 degrees. In that case, they would write +3 - -2 = +5

And if they wrote -5 - +6 = -11, it would mean that first 5 cold cubes were added and then 6 hot cubes were removed, and that the combined result was to lower the temperature 11 degrees.

Sometimes they wanted to raise or lower the temperature by a large amount, but did not want to put the cubes into the cauldron one at a time. So for large jumps in temperature, they would put in or take out bunches of cubes.

For instance, if the chefs wanted to raise the temperature 100 degrees, then they might toss five bunches of 20 hot cubes each into the cauldron instead of 100 cubes one at a time. This saved a lot of time because they could have assistant chefs do the bunching.

When the chefs used bunches of cubes to change the temperature, they used a multiplication sign to record their activity. For example, to describe tossing five bunches of 20 hot cubes each into the cauldron, they would write +5 · +20 = + 100 where the +5 meant that the five bunches were being added, and the +20 showed that there were twenty hot cubes in each bunch.

The chefs could also change the temperature by removing bunches. For example, if they removed three bunches of 5 hot cubes each, the result was to lower the temperature 15 degrees, because each time a bunch of 5 hot cubes was removed, the temperature went down 5 degrees. To record this change, they would write -3 · +5 = -15 where the -3 meant that three bunches were being removed, and the +5 showed that there were five hot cubes in each bunch. //**Challenge Question: How do we subtract integers? Explain in detail using examples.**// Using Counters & Zero Pairs (Tching Channel)
 * ==**Chef's Cooking Action**== || ==**Equation Describing the Action**== || ==**Overall Result of Temperature Change**== ||
 * 1. Nine hot cubes were added and 5 hot cubes were removed. ||  ||   ||
 * 2. Eleven cold cubs were added and three hot cubes were removed. ||  ||   ||
 * 3. Eight cold cubes were added and six hot cubes were removed. ||  ||   ||
 * 4. Twelve hot cubes were added and three hot cubes were removed. ||  ||   ||
 * 5. Seven hot cubes were added and six cold cubes were removed. ||  ||   ||
 * 6. Eight hot cubes were added and four cold cubes were removed. ||  ||   ||
 * 7. Five cold cubes were added and nine cold cubes were removed. ||  ||   ||
 * 8. Ten cold cubes were added and three cold cubes were removed. ||  ||   ||
 * 9. Six cold cubes were added and four cold cubes were removed. ||  ||   ||