Decimal rounding. Examples

In the previous article, we discussed how to round a natural number. Now consider how to round the decimal .

Decimal fraction can be rounded up to the full, and to the discharges of the fractional part: tenths, hundredths, thousandths, etc.

It is important to remember and not to confuse the names of digits before and after the decimal point in decimal.

Decimal Rounding Rules

When rounding the fractional part of the decimal fraction, we use the rounding rules.

1. We underline the figure of the round off discharge.
2. A vertical bar separates all digits to the right of the rounding discharge.
3. • If the digit 0, 1, 2, 3 or 4 is to the right of the underlined digit, then the underlined digit is left unchanged, and all digits after the vertical bar are rejected.
   • If the number 5, 6, 7, 8 or 9 is to the right of the underlined digit, then we add 1 to the underlined digit, and we discard all digits after the vertical bar.

Round 41.958 to the hundredth.

Round 0.748 to the tenth.

Let us round the decimal fraction 14.89 to the discharge units in the whole part.

Example. Rounding 5.038 to the tenth.

One more example:

Please note that in the example, in the one-hundredth category, the number is 9, which when added 1, turns into 10. Therefore, instead of 9, we write zero, and to the category of tenths (we have 8), we add 1.

If the decimal fraction needs to be rounded up to a digit above the units (tens, hundreds, etc.), then the fractional part is discarded, and the whole part is rounded according to the rules for rounding natural numbers .

Example. Let us round 837.89 to dozens.

83 | 7.89 ≈ 840

More examples