function toFixed(num, fixed) {
    var re = new RegExp('^-?\\d+(?:\.\\d{0,' + (fixed || -1) + '})?');
    return num.toString().match(re)[0];
}

As floating point math in javascript will always have edge cases, the previous solution will be accurate most of the time which is not good enough. There are some solutions to this like num.toPrecision, BigDecimal.js, and accounting.js. Yet, I believe that merely parsing the string will be the simplest and always accurate.

Basing the update on the well written regex from the accepted answer by @Gumbo, this new toFixed function will always work as expected.

Old answer, not always accurate:

Roll your own toFixed function:

function toFixed(num, fixed) {
    fixed = fixed || 0;
    fixed = Math.pow(10, fixed);
    return Math.floor(num * fixed) / fixed;
}

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:

function 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:

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

This genericity also provides some cool stuff:

round(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:

round(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:

function 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:

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

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

Show code snippet

function 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);

table {
  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;
}

<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>

Update: As noted by @kuka this does not work for certain decimal numbers due to floating point error math. Don't use this solution - However I'm leaving it here for documentation sake.

Not sure if I know a library method off hand to do that but quick simple old school solution would be this:

Math.floor(4.999 * 100) / 100.0

If the value is a text type:

parseFloat("123.456").toFixed(2);

If the value is a number:

var numb = 123.23454;
numb = numb.toFixed(2);

There is a downside that values like 1.5 will give "1.50" as the output. A fix suggested by @minitech:

var numb = 1.5;
numb = +numb.toFixed(2);
// Note the plus sign that drops any "extra" zeroes at the end.
// It changes the result (which is a string) into a number again (think "0 + foo"),
// which means that it uses only as many digits as necessary.

It seems like Math.round is a better solution. But it is not! In some cases it will not round correctly:

Math.round(1.005 * 100)/100 // Returns 1 instead of expected 1.01!

toFixed() will also not round correctly in some cases (tested in Chrome v.55.0.2883.87)!

Examples:

parseFloat("1.555").toFixed(2); // Returns 1.55 instead of 1.56.
parseFloat("1.5550").toFixed(2); // Returns 1.55 instead of 1.56.
// However, it will return correct result if you round 1.5551.
parseFloat("1.5551").toFixed(2); // Returns 1.56 as expected.

1.3555.toFixed(3) // Returns 1.355 instead of expected 1.356.
// However, it will return correct result if you round 1.35551.
1.35551.toFixed(2); // Returns 1.36 as expected.

I guess, this is because 1.555 is actually something like float 1.55499994 behind the scenes.

Solution 1 is to use a script with required rounding algorithm, for example:

function roundNumber(num, scale) {
  if(!("" + num).includes("e")) {
    return +(Math.round(num + "e+" + scale)  + "e-" + scale);
  } else {
    var arr = ("" + num).split("e");
    var sig = ""
    if(+arr[1] + scale > 0) {
      sig = "+";
    }
    return +(Math.round(+arr[0] + "e" + sig + (+arr[1] + scale)) + "e-" + scale);
  }
}

It is also at Plunker.

Note: This is not a universal solution for everyone. There are several different rounding algorithms. Your implementation can be different, and it depends on your requirements. See also Rounding.

Solution 2 is to avoid front end calculations and pull rounded values from the backend server.

Another possible solution, which is not a bulletproof either.

Math.round((num + Number.EPSILON) * 100) / 100

In some cases, when you round a number like 1.3549999999999998, it will return an incorrect result. It should be 1.35, but the result is 1.36.