What divided by 4 is 8?
The Correct Answer and Explanation is :
To solve the equation where a number divided by 4 equals 8, we need to set up a simple mathematical expression. Let the unknown number be represented by ( x ). The equation is:
[
\frac{x}{4} = 8
]
To find ( x ), we multiply both sides of the equation by 4 to eliminate the denominator. This gives:
[
x = 8 \times 4
]
Simplifying the right-hand side:
[
x = 32
]
So, the number that when divided by 4 results in 8 is 32.
Explanation:
The equation (\frac{x}{4} = 8) is a basic division problem. In mathematics, division is the process of distributing a number into equal parts. Here, ( x ) is the number we want to divide into 4 equal parts, and each part equals 8. To find ( x ), we essentially need to reverse the division operation. Multiplying both sides by 4 helps us undo the division by 4.
We can think of this problem in everyday terms. Imagine you have 4 equally-sized pieces of something, and each piece is worth 8 units. To find out the total amount, you would multiply 8 (the size of each piece) by 4 (the number of pieces). This is why the multiplication of 8 by 4 gives us 32.
This type of operation is often seen in solving word problems or algebraic equations where we need to determine the unknown value. It’s a straightforward example of how division and multiplication are inverse operations. By understanding the relationship between division and multiplication, solving for unknowns in equations becomes a simpler task.