Round to the Nearest Ten Calculator

Enter any number and instantly round it to the nearest ten by examining the ones digit, with a detailed step-by-step explanation.

Enter a Number

Result

Rounded to Nearest Ten
350
Original Number 347
Rounded Number 350
Difference 3
Direction Rounded Up

Step-by-Step Solution

round(347, nearest 10) = 350

How to Round to the Nearest Ten

Rounding to the nearest ten means finding the closest multiple of 10 to a given number. The key digit to examine is the ones digit (the last digit of the whole number part).

The Rounding Rule

To round to the nearest ten:

  • Look at the ones digit (the digit in the ones place).
  • If the ones digit is 5 or greater (5, 6, 7, 8, 9), round up to the next ten.
  • If the ones digit is less than 5 (0, 1, 2, 3, 4), round down to the current ten.
  • Replace the ones digit with 0.

Examples

347 rounds to 350

The ones digit is 7, which is 5 or greater, so we round up.

Ones digit: 7 >= 5 => round up

342 rounds to 340

The ones digit is 2, which is less than 5, so we round down.

Ones digit: 2 < 5 => round down

345 rounds to 350

The ones digit is exactly 5, so by convention we round up.

Ones digit: 5 >= 5 => round up

95 rounds to 100

The ones digit is 5, round up. 9 in the tens place carries over to 100.

Ones digit: 5 >= 5 => carries to 100

Practical Applications

  • Mental math: Rounding to the nearest ten simplifies quick calculations in your head.
  • Estimation: Quickly estimate sums, differences, and totals by rounding to tens first.
  • Classroom learning: Rounding to the nearest ten is one of the first rounding concepts taught in elementary school.
  • Inventory: Businesses often round quantities to the nearest ten for ordering.
  • Scoring: Some scoring systems round to the nearest ten for simplicity.

Rounding Decimals to the Nearest Ten

When rounding a decimal number to the nearest ten, first consider the whole number part. The ones digit still determines the rounding direction. For example, 73.8 has a ones digit of 3, so it rounds down to 70. The decimal portion does not affect rounding to the nearest ten.

Tips for Accurate Rounding

  • Always identify the ones digit before making your decision.
  • The ones digit and everything to its right becomes zero after rounding.
  • Watch for carry-over cases where rounding up changes multiple digits (e.g., 95 to 100).
  • For negative numbers, the same rule applies to the absolute value.