Question

Integers who to Evaluate​

Answer 1

Answer:

Simplifying and Evaluating Expressions With Integers

LEARNING OUTCOMES

Add and subtract integers

Simplify variables expressions for a given value

Now that you have modeled adding small positive and negative integers, you can visualize the model in your mind to simplify expressions with any integers.

For example, if you want to add 37+(−53)37+(−53), you don’t have to count out 3737 blue counters and 5353 red counters.

Picture 3737 blue counters with 5353 red counters lined up underneath. Since there would be more negative counters than positive counters, the sum would be negative. Because 53−37=1653−37=16, there are 1616 more negative counters.

37+(−53)=−1637+(−53)=−16

Let’s try another one. We’ll add −74+(−27)−74+(−27). Imagine 7474 red counters and 2727 more red counters, so we have 101101red counters all together. This means the sum is -101.-101.

−74+(−27)=−101−74+(−27)=−101

Look again at the results of −74−(27)−74−(27).

Addition of Positive and Negative Integers5+35+3−5+(−3)−5+(−3)both positive, sum positiveboth negative, sum negativeWhen the signs are the same, the counters would be all the same color, so add them.−5+3−5+35+(−3)5+(−3)different signs, more negativesdifferent signs, more positivesSum negativesum positiveWhen the signs are different, some counters would make neutral pairs; subtract to see how many are left.