floor to round down vs ceiling to round up

Both phrases are correct and commonly used in mathematics to describe rounding operations. They are not directly comparable as they refer to different rounding directions.

Last updated: March 17, 2024 • 642 views

This phrase is correct and commonly used in mathematics to describe rounding down to the nearest whole number or integer.

" floor to round down"

This phrase is used when you want to round a number down to the nearest whole number or integer, which means moving towards zero or the left on the number line.

Examples:

You can use the floor function to round down a decimal number to the nearest integer.
The floor of 3.8 is 3.
The floor of -2.5 is -3.
The floor of 10.1 is 10.
Round down the result to the nearest whole number.

Show examples from the web [+]

Fix the FLOOR to Round Down in Excel. By Debra Dalgleish, on October 8th, 2010. image Earlier this week, you read about the Top 100 Canadian Singles, and ...
Divide by 10000, use floor to round down to an integer, then multiply by 10000: $ x = 146740; $x = 10000 * floor($x/10000);. Or subtract the ...
Math.Ceiling(0.5); // 1. Use Math.Round to just round. Math.Round(0.5, MidpointRounding.AwayFromZero); // 1. And Math.Floor to round down
The following code uses floor() to round down a number: double result=floor( 11.99); //result=11.0. Obviously, you don't need to use floor() or floorl() if you convert ...

Alternatives:

round down to the nearest whole number
use the floor function to round down
round towards negative infinity
truncate the decimal part
move left on the number line

This phrase is correct and commonly used in mathematics to describe rounding up to the nearest whole number or integer.

"ceiling to round up "

This phrase is used when you want to round a number up to the nearest whole number or integer, which means moving towards positive infinity or the right on the number line.

Examples:

You can use the ceiling function to round up a decimal number to the nearest integer.
The ceiling of 3.2 is 4.
The ceiling of -1.7 is -1.
The ceiling of 5.9 is 6.
Round up the result to the nearest whole number.

Show examples from the web [+]

CEILING to round up in Excel. 7.09.15. CEILING function to round up figures in Excel. On one our recent Excel 2013 training courses one of the delegates posed ...
Ceiling to round up. Math.Ceiling(0.5); // 1. Use Math.Round to just round. Math. Round(0.5, MidpointRounding.AwayFromZero); // 1. And Math.
Aug 10, 2012 ... Simply modify the above formulas to replace round with ceiling to round up or floor to round down: Round up to the nearest 100. ceiling(value ...
Jun 25, 2013 ... You can use “Ceiling” to round up and “Floor” to round down. Being able to round to specific digits would be helpful though. Scott Overall.

Alternatives:

round up to the nearest whole number
use the ceiling function to round up
round towards positive infinity
round towards infinity
move right on the number line

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floor to round down vs ceiling to round up