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

45 * 44 * 22 * 17 * 89 * 1556

  • A.÷, +, ×, −, =
  • B.−, ÷, +, ×, =
  • C.+, ÷, ×, −, =
  • D.×, +, ÷, −, =

Answer: B

The signs in order are −, ÷, +, × and =. Put them in place: \[ 45 - 44 \div 22 + 17 \times 89 = 1556 \] By BODMAS, division and multiplication come first: \[ 44 \div 22 = 2,\quad 17 \times 89 = 1513 \] \[ 45 - 2 + 1513 = 1556 \] The left side equals the right side. Substituting the other three combinations does not give 1556: for example, the first reads 45 ÷ 44 + 22 × 17 − 89, which is about 286. As a check on the first option, 45 ÷ 44 + 22 × 17 − 89 does not come to 1556, and the third and fourth options fail in the same way.

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