Math  /  Numbers & Operations

Question4.8 is 10%10 \% of what number? 4.8 is 10%10 \% of \square

Studdy Solution

STEP 1

What is this asking? We're trying to find a mystery number where 10% of it is equal to 4.8. Watch out! Don't mix up 10% with 0.1%.
Remember 10% is the same as 0.1!

STEP 2

1. Convert the percentage to a decimal.
2. Set up an equation.
3. Solve for the mystery number.

STEP 3

We know that **10%** means **10** out of **100**.
As a fraction, that's 10100\frac{10}{100}.

STEP 4

To convert this fraction to a decimal, we divide the numerator (1010) by the denominator (100100).
So, 10100=0.1\frac{10}{100} = 0.1.
Therefore, **10%** is the same as **0.1**.

STEP 5

Let's call our mystery number "xx".
We're told that **10%** of "xx" is equal to **4.8**.
We can write this as an equation:
0.1x=4.80.1 \cdot x = 4.8Remember, "0.10.1" is the same as **10%** and the "\cdot" symbol means multiplication.

STEP 6

To solve for "xx", we need to isolate it on one side of the equation.
Right now, "xx" is being multiplied by **0.1**.
To undo this multiplication, we can divide both sides of the equation by **0.1**.

STEP 7

Dividing both sides by 0.1 gives us:
0.1x0.1=4.80.1\frac{0.1 \cdot x}{0.1} = \frac{4.8}{0.1}

STEP 8

On the left side, the **0.1** in the numerator and the **0.1** in the denominator divide to one, leaving us with just xx.

STEP 9

On the right side, we have 4.80.1\frac{4.8}{0.1}.
Dividing **4.8** by **0.1** gives us **48**.

STEP 10

So, our equation now looks like this:
x=48x = 48

STEP 11

Our mystery number is **48**!
So, 4.8 is 10% of 48.

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