Question
Beth decided to first subtract 1 from both numbers when she was calculating \( 23000-4977 \). a. Write down the new problem and solve it. Explain why Beth would use this method.
Ask by Mathis Olson. in New Zealand
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Beth's new problem is \( 23000 - 1 - 4977 - 1 = 18023 \). She subtracted 1 from both numbers to simplify the calculation, making it easier to find the difference.
Solution
Calculate or simplify the expression \( 23000-4977 \).
Calculate the value by following steps:
- step0: Calculate:
\(23000-4977\)
- step1: Subtract the numbers:
\(18023\)
The new problem after subtracting 1 from both numbers is \( 23000-1-4977-1 \).
Let's solve this new problem:
\( 23000-1-4977-1 = 23000-1-4977-1 = 18023 \)
Beth would use this method because subtracting 1 from both numbers is equivalent to subtracting 2 from the original number. This method simplifies the calculation and makes it easier to perform the subtraction.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
Beth's new problem would be \( 22999 - 4976 \). When you perform this subtraction, you'll get \( 18023 \). Beth likely used this method as a way to simplify the calculation. By subtracting 1 from both numbers, she kept the numbers close to their original values while making the numbers slightly easier to work with, especially when dealing with carrying in subtraction. This technique can help avoid mistakes that sometimes arise with larger digits.
