Arithmetic Expressions

About this chapter

Arithmetic Expressions is Class 7 Ganita Prakash Part 1 chapter 2. It picks up from Class 6 number sense and introduces the formal language of mathematical phrases. The chapter moves through five blocks. First, simple expressions like 13 + 2 are read, evaluated, and compared with =, < and > by reasoning rather than computation. Second, when a phrase like 30 + 5 × 4 has more than one operation, brackets and the notion of terms decide the order — multiply or divide inside each term first, then add. Third, expressions written as a sum of terms allow swapping (commutative) and grouping (associative); subtraction is treated as adding the inverse. Fourth, removing brackets — when a bracket follows a minus sign the inner signs flip, and the multiple of a sum equals the sum of multiples (distributivity). Fifth, smart computation tricks like 97 × 25 = 100 × 25 − 3 × 25 and writing a word problem as an expression. For CTET Paper 2 Mathematics, this chapter is tested through order-of-operations problems, bracket-removal questions, distributivity, comparing expressions without evaluating, and word-to-expression translation. The four tests — Practice 15, Quiz 15, Hard 15, Mastery 30 — cover all five blocks at the right depth.