Give an example from a real-world setting where a negative number is used. Explain the meaning of the number.

Give an example from a real-world setting where a number with decimals is used. Explain the meaning of the number.

Example 1: Real-world setting where a negative number is used

In finance, a person may have a bank account with a negative balance. This means that they owe money to the bank. For instance, if someone purchases items worth $100 with a debit card, but their account balance is only $50, their balance will become -$50. The negative number indicates the amount of debt or the shortfall in funds that the person has in their account.

Example 2: Real-world setting where a number with decimals is used
In cooking, a recipe might call for a specific amount of a certain ingredient, which may require using a number with decimals. For instance, a cake recipe may call for 1.5 cups of flour. The number 1.5 represents one whole cup plus half of another cup. Decimals are used to express precise or fractional amounts, allowing for more accurate measurements in the culinary field.

Example of a real-world setting where a negative number is used:

Let's say you are tracking your bank account balance. If you withdraw $50 from your account, the resulting balance can be represented as a negative number. For example, if your account balance was $100 before the withdrawal, it would now be represented as - $50. The negative sign indicates that you owe the bank $50.

Example of a real-world setting where a number with decimals is used:

Imagine you are measuring the temperature outside. Suppose the thermometer reads 25.5 degrees Celsius. In this case, the number 25.5 represents a temperature with decimals. The decimal point indicates a fraction of a whole degree. Therefore, the temperature is slightly higher than 25 degrees Celsius. Decimals are commonly used in scientific measurements, such as temperature, weight, and length, to provide more precise and accurate values.

One example from a real-world setting where a negative number is used is in financial transactions, such as bank accounts. When you withdraw money from your account, the balance decreases, and it is represented as a negative number. For example, if you have $100 in your account and withdraw $50, the balance would become -$50. The negative sign indicates that your account is now in debt or has a deficit.

In this case, the negative number shows that you owe the bank money, as your account balance is below zero. It signifies a loss or a decrease in value. Negative numbers are also commonly used in temperature measurements, where temperatures below zero degrees Celsius or Fahrenheit are represented as negative numbers.

Another example from a real-world setting where a number with decimals is used is in measuring distances or quantities. For instance, the fuel efficiency of a car is measured in miles per gallon or kilometers per liter. The resulting number may have decimals, representing partial distances or quantities.

For example, if a car can travel 250 miles on 10 gallons of fuel, the fuel efficiency would be 25 miles per gallon. Here, the decimal number 25 represents the distance that can be covered with one unit of fuel. It indicates the efficiency or effectiveness of the car in terms of distance traveled versus the amount of fuel consumed. Decimals are also used in scientific measurements, currency exchanges, and other real-life situations where precise or fractional values are required.