Which expression is equal to $53462 \div 14$?
A. $3810 \times 14+12$
B. $3810 \times 14 \times 12$
C. $3818 \times 14 \times 10$
D. $3818 \times 14+10$
Answer (1)
Calculate 53462 ÷ 14 , which equals 3818.714285714286 .
Evaluate the four given expressions.
Compare the result of the division with the evaluated expressions.
The expression 3818 × 14 + 10 equals 53462 , which is the same as 53462 ÷ 14 multiplied by 14. Therefore, the answer is 3818 × 14 + 10 .
Explanation
Problem Analysis We are given the expression 53462 ÷ 14 and four other expressions. Our goal is to find the expression that is equal to 53462 ÷ 14 .
Calculate the Division First, let's calculate 53462 ÷ 14 . The result of this division is 3818.714285714286 .
Evaluate the Expressions Now, let's evaluate the four given expressions:
3810 × 14 + 12 = 53340 + 12 = 53352
3810 × 14 × 12 = 53340 × 12 = 640080
3818 × 14 × 10 = 53452 × 10 = 534520
3818 × 14 + 10 = 53452 + 10 = 53462
Compare and Find the Matching Expression Comparing the result of the division ( 3818.714285714286 ) with the evaluated expressions, we see that none of the first three expressions equal 53462 ÷ 14 . However, the fourth expression, 3818 × 14 + 10 , equals 53462 . Therefore, 3818 × 14 + 10 is equal to 53462 .
Final Answer Therefore, the expression equal to 53462 ÷ 14 is 3818 × 14 + 10 .
Examples
Understanding division and remainders is crucial in everyday situations, such as splitting costs among friends. For instance, if a group of 14 friends spends $53462 on a trip, they might want to calculate the cost per person. By dividing the total cost by the number of friends, they find the base cost per person. If there's a small remaining amount, they can decide how to handle it, ensuring fair distribution of expenses. This problem demonstrates how division and multiplication are used to solve real-world problems involving resource allocation and cost sharing.
