Number(1).toFixed(2);         // 1.00
Number(1.341).toFixed(2);     // 1.34
Number(1.345).toFixed(2);     // 1.34 NOTE: See andy's comment below.
Number(1.3450001).toFixed(2); // 1.35

document.getElementById('line1').innerHTML = Number(1).toFixed(2);
document.getElementById('line2').innerHTML = Number(1.341).toFixed(2);
document.getElementById('line3').innerHTML = Number(1.345).toFixed(2);
document.getElementById('line4').innerHTML = Number(1.3450001).toFixed(2);

<span id="line1"></span>
<br/>
<span id="line2"></span>
<br/>
<span id="line3"></span>
<br/>
<span id="line4"></span>

This is an old topic but still top-ranked Google results and the solutions offered share the same floating point decimals issue. Here is the (very generic) function I use, thanks to MDN:

Copyfunction round(value, exp) {
  if (typeof exp === 'undefined' || +exp === 0)
    return Math.round(value);

  value = +value;
  exp = +exp;

  if (isNaN(value) || !(typeof exp === 'number' && exp % 1 === 0))
    return NaN;

  // Shift
  value = value.toString().split('e');
  value = Math.round(+(value[0] + 'e' + (value[1] ? (+value[1] + exp) : exp)));

  // Shift back
  value = value.toString().split('e');
  return +(value[0] + 'e' + (value[1] ? (+value[1] - exp) : -exp));
}

As we can see, we don't get these issues:

Copyround(1.275, 2);   // Returns 1.28
round(1.27499, 2); // Returns 1.27

This genericity also provides some cool stuff:

Copyround(1234.5678, -2);   // Returns 1200
round(1.2345678e+2, 2); // Returns 123.46
round("123.45");        // Returns 123

Now, to answer the OP's question, one has to type:

Copyround(10.8034, 2).toFixed(2); // Returns "10.80"
round(10.8, 2).toFixed(2);    // Returns "10.80"

Or, for a more concise, less generic function:

Copyfunction round2Fixed(value) {
  value = +value;

  if (isNaN(value))
    return NaN;

  // Shift
  value = value.toString().split('e');
  value = Math.round(+(value[0] + 'e' + (value[1] ? (+value[1] + 2) : 2)));

  // Shift back
  value = value.toString().split('e');
  return (+(value[0] + 'e' + (value[1] ? (+value[1] - 2) : -2))).toFixed(2);
}

You can call it with:

Copyround2Fixed(10.8034); // Returns "10.80"
round2Fixed(10.8);    // Returns "10.80"

Various examples and tests (thanks to @t-j-crowder!):

Show code snippet

Copyfunction round(value, exp) {
  if (typeof exp === 'undefined' || +exp === 0)
    return Math.round(value);

  value = +value;
  exp = +exp;

  if (isNaN(value) || !(typeof exp === 'number' && exp % 1 === 0))
    return NaN;

  // Shift
  value = value.toString().split('e');
  value = Math.round(+(value[0] + 'e' + (value[1] ? (+value[1] + exp) : exp)));

  // Shift back
  value = value.toString().split('e');
  return +(value[0] + 'e' + (value[1] ? (+value[1] - exp) : -exp));
}
function naive(value, exp) {
  if (!exp) {
    return Math.round(value);
  }
  var pow = Math.pow(10, exp);
  return Math.round(value * pow) / pow;
}
function test(val, places) {
  subtest(val, places);
  val = typeof val === "string" ? "-" + val : -val;
  subtest(val, places);
}
function subtest(val, places) {
  var placesOrZero = places || 0;
  var naiveResult = naive(val, places);
  var roundResult = round(val, places);
  if (placesOrZero >= 0) {
    naiveResult = naiveResult.toFixed(placesOrZero);
    roundResult = roundResult.toFixed(placesOrZero);
  } else {
    naiveResult = naiveResult.toString();
    roundResult = roundResult.toString();
  }
  $("<tr>")
    .append($("<td>").text(JSON.stringify(val)))
    .append($("<td>").text(placesOrZero))
    .append($("<td>").text(naiveResult))
    .append($("<td>").text(roundResult))
    .appendTo("#results");
}
test(0.565, 2);
test(0.575, 2);
test(0.585, 2);
test(1.275, 2);
test(1.27499, 2);
test(1234.5678, -2);
test(1.2345678e+2, 2);
test("123.45");
test(10.8034, 2);
test(10.8, 2);
test(1.005, 2);
test(1.0005, 2);

Copytable {
  border-collapse: collapse;
}
table, td, th {
  border: 1px solid #ddd;
}
td, th {
  padding: 4px;
}
th {
  font-weight: normal;
  font-family: sans-serif;
}
td {
  font-family: monospace;
}

Copy<table>
  <thead>
    <tr>
      <th>Input</th>
      <th>Places</th>
      <th>Naive</th>
      <th>Thorough</th>
    </tr>
  </thead>
  <tbody id="results">
  </tbody>
</table>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>