Let the other rational number be represented by "x".

We know that the product of two rational numbers is -22:

-22 = x * (-22)

Simplifying the right side, we get:

-22 = -22x

Dividing both sides by -22, we get:

x = 1

Therefore, the other rational number is 1.


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Answer:

other number = 1

Step-by-step explanation:

We are provided with the information that the product of two rational numbers is -22 and one of the numbers is -22. We are asked to find the other number.

Using the given information we have —

• product of two rational numbers = -22
• one number = -22
• other number = ?

Let's assume that the other number is 'x'.

According to the question,

• product of two numbers = one number × other number

Substitute the values,

[tex]\implies[/tex] -22 = -22 × x ------ (equation 1)

[tex]\implies[/tex] -22 = -22x

Divide by 22 on both sides,

[tex]\implies[/tex] -22/22 = -22x/22

On solving we get,

[tex]\implies[/tex] -1 = -x

[tex]\implies[/tex] x = 1

Hence, the other number is 1.

Verification:

From above calculations we have x = 1. To verify the answer, simply substitute the value of x in equation 1.

[tex]\implies[/tex] -22 = -22 × 1

We know that —

• product of (+)(-) is (-)
• product of (-)(+) is (-)
• product of (+)(+) is (+)
• product of (-)(-) is (+)

[tex]\implies[/tex] -22 = -22

Hence, verified.