Question 20 Applications: Integer Subtraction Represent the application problem using subtraction in symbolic form and evaluate. Place all negative numbers in the symbolic form in parentheses. (Note: Make sure to use a subtraction statement even though an addition statement may apply as well). Don had 7 dollars in his checking account and wrote a check for 11 dollars. Write a symbolic expression using subtraction that represents this problem. \( \square \) What is the balance in Don's checking account in dollars? \( \square \) Carlos lowers the temperature of his freezer by 5 degrees. It was originally set to -8 degrees Celsius. Write the symbolic expression that represents this problem. \( \square \) What is the new temperature of the freezer in degrees Celsius? \( \square \) Malala's pool was filled 11 inches below the top of the pool. She drained the pool 12 inches. Write a symbolic expression using subtraction that represents this problem. \( \square \) What is the water level relative to the top of the pool? \( \square \) Callie had -12 dollars in her debit account. She returned an internet purchase and they removed a charge of 6 dollars from her debit account. Write a symbolic expression using subtraction that represents this problem. \( \square \) What is the new balance in Callie's debit account in dollars? \( \square \) Question Help: Video
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Don's situation can be represented by the expression \( 7 - 11 \). Evaluating this gives \( 7 - 11 = -4 \), meaning Don's balance is -4 dollars, indicating he's overdrawn. For Carlos, the expression is \( -8 - 5 \). Evaluating this results in \( -8 - 5 = -13 \), so the new freezer temperature is -13 degrees Celsius. Malala's pool scenario translates to \( -11 - 12 \). Evaluating gives \( -11 - 12 = -23 \), which means the water level is now 23 inches below the top of the pool. Callie's account situation can be expressed as \( -12 - 6 \). Evaluating that gives \( -12 - 6 = -18 \), meaning her new balance is -18 dollars. Interestingly, the history of subtraction dates back thousands of years, with ancient civilizations like the Babylonians using it for trade calculations. They employed deductive methods to manage their agriculture and commerce, influencing how mathematics evolved into its modern forms! In the real world, subtraction plays a crucial role beyond just math problems; it helps in budgeting, managing accounts, and even in science to determine changes in measurements. Whether you're calculating expenses or figuring out temperature adjustments, mastering subtraction can simplify things considerably!