### Question

**Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.**

100 * 25 * 35 * 15 * 5 * 180

100 * 25 * 35 * 15 * 5 * 180

A. ×, –, +, ÷, =

B. +, –, ÷, ×, =

C. –, +, ÷, ×, =

D. –, +, ×, ÷, =

#### Answer: D. –, +, ×, ÷, =

**Solution:**

According to **BODMAS **rule:

Given equation **100 * 25 * 35 * 15 * 5 * 180**

**Option 1: Using the combination ×, –, +, ÷, =**

100 × 25 – 35 + 15 ÷5 =180

100 × 25 – 35 + 3 =180

2500 – 35 + 3 =180

2503 – 35 =180

2468 = 180 (LHS ≠ RHS)

**Option 2: Using the combination +, –, ÷, ×, =**

100 + 25 – 35 ÷ 15 × 5 = 180

100 + 25 – 2.34 × 5 = 180

100 + 25 – 11.7 = 180

125 – 11.7 = 180

113.3 = 180 (LHS ≠ RHS)

**Option 3: Using the combination –, +, ÷, ×, =**

100 – 25 + 35 ÷ 15 × 5 = 180

By BODMAS rule

100 – 25 + 2.34 × 5 = 180

100 – 25 + 11.7 = 180

111.7 – 25 = 180

86.7 = 180 (LHS ≠ RHS)

**Option 4: Using the combination –, +, ×, ÷, =**

100 – 25 + 35 × 15 ÷ 5 = 180

100 – 25 + 35 × 3 = 180

100 – 25 + 105 = 180

205 – 25 = 180**180 = 180 (LHS = RHS)**

Hence, **the answer is “–, +, ×, ÷, =”.**