## Bug #4394

### Bug in floating point multiplication

Status: | Rejected | ||
---|---|---|---|

Priority: | Normal | ||

Assignee: | - | ||

ruby -v: | ruby 1.9.2p136 (2010-12-25 revision 30365) [x86_64-linux] | Backport: |

**Description**

=begin

I stumbled upon the following odd rounding error in Float multiplication while using irb to calculate the tip for the pizza service ;-):

12.4 * 1.05 yields 13.020000000000001, but should be 13.02

=end

**Related issues**

### History

#### #1 Updated by Joshua Ballanco about 4 years ago

=begin

This is how floating point math works. See here for more info: http://en.wikipedia.org/wiki/Floating_point#Representable_numbers.2C_conversion_and_rounding

If you want exact decimal math, try:

ruby-1.9.2-p136 :001 > require 'bigdecimal'

=> true

ruby-1.9.2-p136 :002 > (BigDecimal('12.4') * BigDecimal('1.05')).to_f

=> 13.02

=end

#### #2 Updated by Yui NARUSE about 4 years ago

**Status**changed from*Open*to*Rejected*

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Learn floating point numbers.

What Every Computer Scientist Should Know About Floating-Point Arithmetic

http://docs.sun.com/source/806-3568/ncg_goldberg.html

http://wiki.github.com/rdp/ruby_tutorials_core/ruby-talk-faq#floats_imprecise

http://en.wikipedia.org/wiki/Floating_point#Accuracy_problems

=end

#### #3 Updated by Roger Pack about 4 years ago

=begin

You can also do

(12.4 * 1.05).round(2)

=> 13.02

=end