Calculate the value of the expression: $53462
div 14 = 3818.714285714286$.
Evaluate the given expressions:
$3810
times 14 + 12 = 53352$
$3818
times 14 + 10 = 53462$
$3810
times 14
times 12 = 640080$
$3818
times 14
times 10 = 534520$
Find the expression that equals $53462
div 14$.
The correct expression is: $\boxed{3818
times 14 + 10}$.
Explanation
Problem Analysis We are given the expression $53462
div 14$ and four other expressions. The goal is to find which of the four expressions is equal to $53462
div 14$.
Calculating the Division First, let's calculate $53462
div 14$. The result is 3818.714285714286 .
Evaluating the Expressions Now, let's evaluate each of the four expressions:
$3810
times 14 + 12 = 53340 + 12 = 53352$
2. $3818
times 14 + 10 = 53452 + 10 = 53462$
3. $3810
times 14
times 12 = 53340
times 12 = 640080$
4. $3818
times 14
times 10 = 53452
times 10 = 534520$
Comparison and Result Comparing the result of the division ( 3818.714285714286 ) with the result of each expression, we are looking for an expression that equals $53462
div 14$, which means the expression should equal 3818.714285714286 when divided by 1. However, since the options are all integers, we should look for the expression that equals 53462 when multiplied by 14.
From the calculations above, we see that $3818
times 14 + 10 = 53462$.
Final Answer Therefore, the expression equal to $53462
div 14$ is $3818
times 14 + 10$.
Examples
Understanding remainders is crucial in many real-life situations. For instance, when scheduling tasks or events, knowing the remainder helps in optimizing resource allocation and preventing conflicts. Imagine you have 53462 minutes to allocate for tasks, and each task requires 14 minutes. By dividing 53462 by 14, you find that you can complete 3818 full tasks, with 10 minutes remaining. This remainder informs you about the leftover time, which you can use for a shorter task or buffer.
The expression equal to 53462 รท 14 is 3818 ร 14 + 10 .
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