Numbers & operators

Math Notes evaluates expressions with the usual arithmetic operators, plus a set of word operators, number scales and rounding phrases that read like English.

Operators#

(4 / 2) ^ 2

10 % 3

Many more functions and operators are available — see the mathjs documentation. The reference lists the function aliases Math Notes adds.

Word operators#

Calculations can use words instead of symbols:

8 times 9

2 plus 3

10 minus 3

6 multiplied by 7

10 divided by 2

10 over 2

3 mul 4

with and without combine and subtract durations:

2 hours with 30 minutes

2 hours without 30 minutes

Number scales#

A repeated k multiplies by a thousand: 2k is 2,000, 1kk is 1,000,000, 1kkk is 1,000,000,000.

2k

1kk

1kkk

Percentages#

Use of, on and off with %.

20% of 10

5% on 30

6% off 40

50 as a % of 100

5% of what is 6

A percentage can be added to or taken from a value and chained with more terms, and it can be negative.

50 + 10% + 1

-20% on 50

Rounding#

Round a result with a phrase at the end of the line, or call round, ceil or floor directly. Rounding works with units and currencies too.

1/3 to 2 dp

π to 3 digits

5.5 rounded

5.5 rounded up

5.5 rounded down

37 to nearest 10

$490 rounded to nearest hundred

21 rounded up to nearest 5

0.534 to nearest 16th

A step can carry its own unit, and a duration written in several units is rounded in the smallest one. Units and currencies round to a fraction too.

2 hours 17 minutes to nearest 15

47 cm to nearest 5 cm

2.3 in to nearest 16th

Number bases#

Convert a whole number with in, to or as: 255 in hex is 0xff, 255 to bin is 0b11111111, 255 as octal is 0o377, 0x9F31 to decimal is 40,753 and 5300 in sci is 5.3e+3. The bit operators <<, >>, &, |, ^| and ~ are exact for whole numbers well past 32 bits.

Constants and functions#

pi and π are available, along with the standard mathjs functions and these aliases:

fact(5)

ln(e)

root(8, 3)

See Lists & sequences for sum, mean and the other aggregate functions, and Reference for the full table.