Fill in the missing number. 50% of = 46
Understand the Problem
The question is asking us to find the number that, when 50% of it is taken, results in 46. To solve this, we can use the equation x * 0.5 = 46 and then solve for x.
Answer
$92$
Answer for screen readers
The number is $92$.
Steps to Solve
- Set up the equation
We know that taking 50% of a number $x$ results in 46. This can be expressed as the equation: $$ 0.5x = 46 $$
- Isolate the variable
To find $x$, we need to isolate it. We can do this by multiplying both sides of the equation by 2 (or dividing by 0.5): $$ x = 46 \times 2 $$
- Calculate the value of x
Now, let's perform the multiplication: $$ x = 92 $$
The number is $92$.
More Information
When we take 50% of $92$, we get $46$, which confirms our solution is correct. This problem illustrates the use of basic algebra to solve for an unknown variable.
Tips
- Misunderstanding percentages: Some may confuse 50% with the wrong fraction, such as 0.05 instead of 0.5. Always ensure to convert percentages correctly.
- Incorrect calculations: Double-check your arithmetic when multiplying or dividing.
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