Question

___×2/9=2/90

a) 1/10
b) 2/10
c) 2/90
​

Answer 1

Given: $(x)\times\frac{2}{9} =\frac{2}{90}$

We have to solve the above equation.

We are solving in the following way:

• For this first, we will Identify the variables and constants in the given equation.
• And then we Simplify the equation in LHS and RHS.
• Then we will transpose or shift the term on the other side to solve the equation further simplest.
• After that, we will Simplify the equation using arithmetic operation as required that is mentioned in the above rule of the linear equations.
• Then the result will be the solution for the given linear equation.

Now by using the transposition method:

We have,

Let assume the value in the dash place be$x$.

$(x)\times\frac{2}{9} =\frac{2}{90}$

$x=\frac{2}{90} \div \frac{2}{9} \\\\x=\frac{2}{90}\times\frac{9}{2} \\\\x=\frac{9}{90} \\\\x=\frac{1}{10}$

Hence, the value in the dash place will be$1/10$.

Option a) is the correct answer.

Answer 2

To find : the value of missing number

Given : $x \times \frac{2}{9} = \frac{2}{90}$

Solution :

• Let missing number be $x$.
• According to given equation we have , $x \times \frac{2}{9} = \frac{2}{90}$ .
• Multiplication is a process of repetitive addition of integers.
• Multiplication rules for integers :

1. if two negative integers are multiplied then the product obtained is positive integer. i.e. $(-) \times(-)=+$
2. If one negative and one positive integers are multiplied then the product obtained is negative integer. i.e. $(-) \times(+)=-$
3. If both positive integers are multiplied then the product obtained is positive integer. i.e. $(+) \times(+)=+$

• Therefore according to above rule we solve $x \times \frac{2}{9} = \frac{2}{90}$  

           $x \times \frac{2}{9} = \frac{2}{90} \\x = \frac{2\times 9}{90 \times 2} \\x = \frac{1}{10}$

Hence , missing number $x$ is  $\frac{1}{10}$  .