Find the value of [tex]$\frac{101}{(10-3) 1}$[/tex].
A. 5040
B. 120
C. 70
D. 720
Answer (1)
Simplify the denominator: 10 − 3 = 7 , then 7 × 1 = 7 .
Divide the numerator by the simplified denominator: 7 101 ≈ 14.43 .
The value of the expression is approximately 14.43.
None of the provided options match the calculated value, indicating a possible error in the question or options. 7 101
Explanation
Understanding the Problem We are asked to find the value of the expression ( 10 − 3 ) 1 101 . This involves basic arithmetic operations.
Simplifying the Denominator First, we simplify the expression inside the parentheses in the denominator: 10 − 3 = 7 .
Calculating the Denominator Next, we multiply the result by 1: 7 × 1 = 7 . So, the denominator simplifies to 7.
Dividing Numerator by Denominator Now, we divide 101 by the simplified denominator: 7 101 ≈ 14.43 .
Finding the Final Answer The value of the expression ( 10 − 3 ) 1 101 is 7 101 ≈ 14.43 . Since the options provided are integers, there might be a typo in the question. Assuming the question is correct, none of the provided options (A. 5040, B. 120, C. 70, D. 720) match the calculated value.
Examples
Understanding how to simplify and evaluate arithmetic expressions is fundamental in many real-life situations. For instance, when calculating the total cost of items with discounts or taxes, you need to follow the order of operations to arrive at the correct amount. Similarly, in cooking, adjusting ingredient quantities often involves evaluating expressions to maintain the recipe's proportions. This problem reinforces the importance of accurate arithmetic calculations in everyday tasks.
