Rounding Numbers to the Nearest Ten
To round numbers to the nearest ten, we inspect the units digit, situated immediately to the right of the tens digit. For instance, rounding the number 2367 to the nearest ten results in 2370 because the units digit (7) is greater than 5, leading to an increase in the tens place.
Sample Problems
Problem 1: Explain the number of significant digits in 0.000650.
Solution:
Since the leading zeros are not necessary for the significant digits.
Therefore, there are three significant digits 650.
Problem 2: Round these numbers to three significant figures each: (a) 9.845 and (b) 6.735.
Solution:
(a) The number to be rounded off is equivalent to 5, so in the first case, the preceding digits are even, therefore remain unmodified. Therefore, the obtained number 9.84.
(b) The number to be rounded off is equivalent to 5, so in the first case, the preceding digits are odd, therefore are incremented by one. Therefore, the obtained number 9.83.
Problem 3: Does the change of units change significant digits?
Solution:
The change of units does not change the significant digits. For example, in terms of length, 12 m = 1.2 × 10 m = 1.2 × 103 cm where the significant digits is equivalent to 1.
Problem 4: Write the number of significant figures in 0.410 m.
Solution:
Zeros to the left of a significant number that are not limited to the left by another significant figure are not significant, according to the general criterion for defining significant figures. Significant are zeroes put after other numbers but before a decimal point. As a result, for the provided value 0.410, the final three digits will be significant numbers. As a result, it has three important figures.
Problem 5: What are the numbers 4.845 and 4.835 on rounding off to 3 significant figures?
Solution
Because the previous digit is even, the number 4.845 rounded to three significant digits yields 4.84. The number 4.835 rounded to three significant digits, on the other hand, becomes 4.84 since the previous digit is odd.
Related Article:
- Round-off a number to a given number of significant digits
- How to Round Numbers in Excel
- Rounding Numbers Calculator
Rounding Numbers
Rounding Numbers: An estimation is a form of rounding off. Estimation is utilized in daily life as well as in topics such as mathematics and physics. Many physical values, such as the quantity of money, the distance traveled, the length measured, and so on, are calculated by rounding the actual figure to the closest whole number.
Table of Content
- What is Rounding Numbers
- What are the Significant Figures?
- Rules for Rounding Numbers
- Rounding off the Digits
- How to Round Off Whole Numbers?
- How to Round Off Decimal Numbers?
- Round-Up and Round-Down
- Rounding Numbers to the Nearest Hundred
- Rounding Numbers to the Nearest Ten