arithmetic vs sums

arithmetic

adj
  • Of a progression, mean, etc, computed solely using addition. 

  • Of, relating to, or using arithmetic; arithmetical. 

noun
  • The mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division. 

sums

How often have the words arithmetic and sums occurred in a corpus of books? (source: Google Ngram Viewer )