Find the sum using suitable rearrangement.
`1436+586+564`

Answer

To find the sum of the numbers \(1436\), \(586\), and \(564\) using suitable rearrangement, we can follow these steps:

### Step 1: Rearrange the Numbers
We can rearrange the numbers to make the addition easier. Let's group \(1436\) with \(564\) first and then add \(586\) later. So we rewrite it as:
\[ 1436 + 564 + 586 \]

### Step 2: Add the First Two Numbers
Now, we will add \(1436\) and \(564\):
\[ 1436 + 564 \]

### Step 3: Perform the Addition
Let's add them column-wise:
- Units place: \(6 + 4 = 10\) (write down \(0\) and carry over \(1\))
- Tens place: \(3 + 6 + 1 (carry) = 10\) (write down \(0\) and carry over \(1\))
- Hundreds place: \(4 + 5 + 1 (carry) = 10\) (write down \(0\) and carry over \(1\))
- Thousands place: \(1 + 1 (carry) = 2\)

So, we have:
\[ 1436 + 564 = 2000 \]

### Step 4: Add the Result to the Remaining Number
Now, we add the result \(2000\) to \(586\):
\[ 2000 + 586 \]

### Step 5: Perform the Final Addition
Again, we add them column-wise:
- Units place: \(0 + 6 = 6\)
- Tens place: \(0 + 8 = 8\)
- Hundreds place: \(0 + 5 = 5\)
- Thousands place: \(2 + 0 = 2\)

So, we have:
\[ 2000 + 586 = 2586 \]

### Final Answer
Thus, the sum of \(1436 + 586 + 564\) is:
\[ \boxed{2586} \]

---