Math  /  Numbers & Operations

QuestionDivide: 1.484÷0.281.484 \div 0.28.

Studdy Solution

STEP 1

What is this asking? We need to divide 1.484 by 0.28.
Basically, how many times does 0.28 go into 1.484? Watch out! Don't forget about those decimal points!
We'll need to move them around a bit to make this division easier.

STEP 2

1. Set up the division
2. Move the decimals
3. Divide

STEP 3

Let's write our division problem like this: 1.4840.28 \frac{1.484}{0.28} This makes it clear what we're dividing by what.

STEP 4

Dividing by a decimal can be tricky.
We want to turn our divisor (0.28) into a whole number!
We can do that by moving the decimal point **two** places to the right, which is the same as multiplying by **100**.

STEP 5

But remember, whatever we do to the bottom (the divisor), we *must* do to the top (the dividend) to keep everything balanced.
So, we'll move the decimal point in 1.484 **two** places to the right as well.

STEP 6

Now, our division problem looks like this: 148.428 \frac{148.4}{28} Much better!

STEP 7

Let's do some long division: 5328148.414084840\begin{array}{c|c} 5 & 3 \\ 28 & 148.4 \\ 140 & \\ 8 & 4 \\ 8 & 4 \\ 0 & \end{array}

STEP 8

* 28 goes into 148 **five** times (5 * 28 = 140).
We write the **5** above the 8. * Subtract 140 from 148, which leaves us with **8**. * Bring down the **4**.
Now we have 84. * 28 goes into 84 **three** times (3 * 28 = 84).
We write the **3** above the 4. * Subtract 84 from 84, which leaves us with **0**.

STEP 9

Our final answer is **5.3**!
So, 1.484 divided by 0.28 equals 5.3.

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