**Modeling sums of integers with different signs :**

We can use the following colored counters to model the sum of integers with different signs.

**Example 1 : **

Find the sum of "-4 and "+3"

**Solution : **

Let us take four negative counters for "-4" and three positive counters for "+3".

Cross out each negative counter for each positive counter.

In the above figure, after having crossed out each negative counter for each positive counter, the result is one negative counter.

So, the answer is -1.

Hence, (-4) + (+3) = -1

**Example 2 : **

Find the sum of "+5 and "-2"

**Solution : **

Let us take five positive counters for "+5" and two negative counters for "-2".

Cross out each positive counter for each negative counter.

In the above figure, after having crossed out each positive counter for each negative counter, the result is three positive counters.

So, the answer is +3.

Hence, (+5) + (-2) = +3.

**Example 3 : **

Find the sum of "+4 and "-7"

**Solution : **

Let us take four positive counters for "+4" and seven negative counters for "-7".

Cross out each positive counter for each negative counter.

In the above figure, after having crossed out each positive counter for each negative counter, the result is three negative counters.

So, the answer is -3.

Hence, (+4) + (-7) = -3.

**Example 4 : **

Find the sum of "+2 and "-3"

**Solution : **

Let us take two positive counters for "+2" and three negative counters for "-3".

Cross out each positive counter for each negative counter.

In the above figure, after having crossed out each positive counter for each negative counter, the result is one negative counter.

So, the answer is -1.

Hence, (+2) + (-3) = -1.

**Example 5 : **

Find the sum of "-5 and "+2"

**Solution : **

Let us take five negative counters for "-5" and two positive counters for "+2".

Cross out each negative counter for each positive counter.

In the above figure, after having crossed out each negative counter for each positive counter, the result is three negative counters.

So, the answer is -3.

Hence, (-5) + (+2) = -3.

After having gone through the stuff given above, we hope that the students would have understood "How to model the sum of integers with different signs".

Apart from the stuff given above, if you want to know more about "Modeling sums of integers with different signs", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**