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(a)The population of a certain city decreased by 48,000 people.Write a signed number to represent this population change.(b)Rachel received 100 dollars.Write a signed number to represent this change.

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(a) Given that a certain population decreased by 48,000 people and that we should write a signed number to represent this population change.

From the question, we are told that the population decreased by 48,000 people.

Let the initial population be x

So, if the population decreased by 48,000 people, that means there is a reduction from the initial population.

To represent the reduction in growth, we use the subtraction operator.

Therefore, a signed number representing the population change is: x - 48,000, which can also be seen as -48,000

(b) Given that Rachel received 100 dollars. We are to write a signe number to represent this change.

To write a signed number of Rachel receiving 100 dollars is, that means Rachel finance is been increased by 100 dollars.

Therefore, the signed number can be written as +100 dollars.

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