**Multiplying more than two rational numbers :**

If we multiply three or more rational numbers, we can use a pattern to find the sign of the product.

**Example 1 : **

Multiply (-2/3)(-1/2)(-3/5).

**Solution : **

**Step 1 : **

First, find the product of the first two factors. Both factors are negative, so their product will be positive.

**Step 2 : **

**Step 3 : **

Now, multiply the result, which is positive, by the third factor, which is negative. The product will be negative.

**Step 4 : **

**Step 5 :**

Hence, (-2/3)(-1/2)(-3/5) = -1/5

**Example 2 : **

Multiply 1/6, 3/10 and -40.

**Solution : **

**Step 1 : **

First, find the product of the first two factors. Both factors are positive, so their product will be positive.

**Step 2 : **

**Step 3 :**

Now, multiply the result, which is positive, by the third factor, which is negative. The product will be negative.

**Step 4 : **

**(1/20) x (-40) = -40/20 = -2**

**Step 5 : **

Hence, (1/6) x (3/10) x (-40) = -2.

**Example 3 : **

Multiply -4, -4.5 and - 2

**Solution : **

**Step 1 : **

First, find the product of the first two factors. Both factors are negative, so their product will be positive.

**Step 2 : **

(-4) x (-4.5) = 18

**Step 3 :**

Now, multiply the result, which is positive, by the third factor, which is negative. The product will be negative.

**Step 4 : **

**(18) x (-2) = -36**

**Step 5 : **

Hence, (-4) x (-4.5) x (-2) = -36.

**Example 4 : **

Multiply -4, -2.5, 5 and - 1.4

**Solution : **

**Step 1 : **

Find the product of the first two factors. Both factors are positive, so their product will be positive.

(-4) x (-2.5) = 10

**Step 2 : **

Now, find the product of the next two factors. Here the factors 5 and -1.4 are having different signs, so their product will be negative.

(5) x (-1.4) = 7

**Step 3 :**

Multiply the result in step 1 by the result in step 2. The results in step 1 and step 2 are having the same sign. So their product is positive.

**Step 4 : **

**(10) x (7) = 70**

**Step 5 : **

Hence, (-4) x (-2.5) x (5) x (-1.4) = 70.

After having gone through the stuff given above, we hope that the students would have understood "How to multiply more than two rational numbers".

Apart from the stuff given above, if you want to know more about "Multiplying more than two rational numbers", 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**