43.586 rounded to the nearest tenth is 43.6, nearest hundredth is 43.59 and nearest ones is 44.
FURTHER EXPLANATION
Place Values
Every digit in a number is assigned a place value. The place value determines the value or size of the digit based on its position in the number. In decimal numbers, the numbers to the left of the decimal point are the whole part and the numbers appearing after the decimal point is the decimal part.
Example: 12.3456
The place values of the digits in the given example are as follows:
1 – tens (10)
2 – ones (2)
3 – tenths (0.3)
4 – hundredths (0.04)
5 – thousandths (0.005)
6 – ten thousandths (0.0006)
Adding the values in the expanded form will give the number:
10 + 2 + 0.3 + 0.04 + 0.005 + 0.0006 = 12.3456
Rounding Off Rules
Sometimes numbers have to expressed with fewer place values or decimal places. To find out what the rounded number will be, a set of rules are followed to standardize the rounding off:
1.If the digit to be rounded is followed by a digit that is less than 5 (0,1,2,3,4), the digit will be unchanged and the numbers after it are dropped.
Example: 2.344 rounded to the nearest tenth is 2.3
2.If the digit to be rounded is followed by a digit greater than or equal to 5, the last digit must be increased by 1 and the succeeding digits are dropped.
Example: 4.584 rounded to the nearest tenth is 4.6
Some Important Terms
When a digit is to be"rounded to the nearest tenths", it means that the resulting number will have one decimal place.
"Rounded to the nearest hundredths" means the rounded number will have two decimal places.
For the given number 43.586, the place values of the digits are as follows:
4 – tens
3 – ones
5 – tenths
7 - hundredths
8 – thousandths
6 – ten thousandths
Rounding to the nearest tenths
43.586 will become 43.6
The digit in the tenths place is 5. It is immediately followed by 8. 8 is greater than 5 so the last digit will be increased.
Rounding to the nearest hundredths
43.586 will become 43.59
8 is the digit in the hundredths place. It is followed by 6 which is greater than 5. Therefore, add 1 to 8 and it becomes 43.59.
Rounding to the nearest ones
43.586 will become 44
The digit with the ones place value is 3. It is succeeded by 5 so the last digit 3 must be increased by 1 becoming 44.
LEARN MORE
•Significant Figures in Science
•Scientific or Exponential Notation
Keywords: rounding off rules, place values
