Chapter 11.CM, Problem 1CM

To determine

To evaluate:

a) The solution of expression $\frac{20}{-4}$.

b) The solution of expression $\frac{-9}{-3}$.

c) The solution of expression $-\frac{3}{8}÷3$.

d) The solution of expression $\frac{-40}{10}$.

e) The solution of expression $\frac{-1}{10}÷\frac{-2}{5}$.

f) The solution of expression $\frac{8}{0}$.

Answer to Problem 1CM

Solution:

a) The quotient of given division is $-5$.

b) The quotient of given division is $3$.

c) The quotient of given division is $-\frac{1}{8}$.

d) The quotient of given division is $-4$.

e) The quotient of given division is $\frac{1}{4}$.

f) The quotient of given division is undefined.

Explanation of Solution

Given:

a) The given expression is $\frac{20}{-4}$.

b) The given expression is $\frac{-9}{-3}$.

c) The given expression is $-\frac{3}{8}÷3$.

d) The given expression is $\frac{-40}{10}$.

e) The given expression is $\frac{-1}{10}÷\frac{-2}{5}$.

f) The given expression is $\frac{8}{0}$.

Calculation:

Part (a):

In the given division, both dividend and divisor are of different signs. The quotient will be negative.

Divide the given expression.

$\frac{20}{-4}=-5$

Final statement (a):

Therefore, the quotient of given division is $-5$.

Part (b):

In the given division, both dividend and divisor are of same signs. The quotient will be positive.

Divide the given expression.

$\frac{-9}{-3}=3$

Final statement:

Therefore, the quotient of given division is $3$.

Part (c):

The reciprocal of 3 is $\frac{1}{3}$.

Division of a non zero real number is same as multiply the number by its reciprocal.

$\begin{array}{c}-\frac{3}{8}÷3=-\frac{3}{8}\cdot \frac{1}{3}\\ =-\frac{1}{8}\end{array}$

Final statement (c):

Therefore, the quotient of given division is $-\frac{1}{8}$.

Part (d):

In the given division, both dividend and divisor are of different signs. The quotient will be negative.

Divide the given expression.

$\frac{-40}{10}=-4$

Final statement (d):

Therefore, the quotient of given division is $-4$.

Part (e):

The reciprocal of $\frac{-2}{5}$  is $\frac{5}{-2}$.

Perform the given division.

$\begin{array}{c}-\frac{1}{10}÷\frac{-2}{5}=-\frac{1}{10}\cdot \frac{5}{-2}\\ =\frac{1}{4}\end{array}$

Final statement (e):

Therefore, the quotient of given division is $\frac{1}{4}$.

Part (f):

In the given division, the divisor is 0.

The quotient will be undefined.

$\frac{8}{0}=\text{undefined}$

Final statement (f):

Therefore, the quotient of given division is undefined.