**Multiplicative inverses worksheet :**

Here we are going to see some practice questions on multiplicative inverse.

**What is multiplicative inverse ?**

For every rational number a/b, a ≠ 0, there exists a rational number c/d such that (a/b) x (c/d) = 1. Then c/d is called the multiplicative inverse of (a/b).

That is,

If (a/b) is a rational number, then (b/a) is the multiplicative inverse or reciprocal of it.

- The reciprocal of 2 is 1/2
- The multiplicative inverse of (-3/5) is (-5/3)
- 0 has no reciprocal.
- 1 and – 1 are the only rational numbers which are their own reciprocals.

Let us see some practice questions based on the above concept.

(1) What is the multiplicative inverse of 9/11

(2) What is the multiplicative inverse of -5

(3) What is the multiplicative inverse of the mixed number 00 2 5/7

(4) What is the multiplicative inverse of the sum of (2/5) and (7/10)

(5) What is the multiplicative inverse of the product of (5/21) x (7/20)

**Question 1 :**

What is the multiplicative inverse of 9/11

**Solution :**

Since the given number is a fraction,

Let us consider the given fraction as (a/b)

Multiplicative inverse of (a/b) is (b/a)

Hence multiplicative inverse of 9/11 is 11/9.

**Question 2 :**

What is the multiplicative inverse of -5

**Solution :**

Since the given number is integer,

Let us consider the given number as "x"

Multiplicative inverse of x is (1/x)

Hence multiplicative inverse of -5 is -1/5.

**Question 3 :**

What is the multiplicative inverse of the mixed number 00 2 5/7

**Solution :**

Since the given number is mixed fraction, first we have to convert it as improper fraction.

2 5/7 = [(2x7)+5]/7 = (14+5)/7 = 19/7

From this we need to find the multiplicative inverse of the fraction 19/7.

Multiplicative inverse of the fraction in the form (a/b) is (b/a)

Hence multiplicative inverse of 19/7 is 7/19.

**Question 4 :**

What is the multiplicative inverse of the sum of (2/5) and (7/10)

**Solution :**

From the given question, we come to know that first we have to add the above fractions and find the multiplicative inverse for the answer.

(2/5) + (7/10) = (2/5) + (7/10)

L.C.M of 5 and 10 is 10.

= (2/5) x (2/2) + (7/10)

= (4/10) + (7/10)

= (4 + 7)/10

= 11/10

By combining the above fractions, we get 11/10. Since the answer is in the form (a/b), (b/a) will be its reciprocal.

Hence the multiplicative inverse of 11/10 is 10/11.

**Example 5 :**

What is the multiplicative inverse of the product of (5/21) x (7/20)

**Solution :**

From the given question, we come to know that first we have to simplify the above fractions and find the multiplicative inverse for the answer.

= (5/21) x (7/20)

= (1/3) x (1/4)

= (1/12)

By combining the above fractions, we get 1/12.Since 1/12 is in the form a/b, b/a will be its multiplicative inverse.

Hence multiplicative inverse of 1/12 is 12/1. That is 12.

After having gone through the stuff given above, we hope that the students would have understood "Multiplicative inverses worksheet".

Apart from the stuff given above, if you want to know more about "Multiplicative inverses worksheet", 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**