The traveler and her companion stay in an inn in El Cairo named \"The Four Fours

Question

The traveler and her companion stay in an inn in El Cairo named "The Four Fours". The traveler states that this is very propitious since every digit can be made with exactly four fours, and the arithmetic operations. More explicitly, for each digit, 0 through 9, find (for each of the digits) the right combination of symbols among +, -, times and to fill in the blanks (with repetitions of symbols allowed) so that the we have equality: 4_4_4_4 = digit. (You are making 10 of these statements (one to equal each digit 0 through 9).) Bonus: Try to do it without repetitions of the symbols +, -, times and

Explanation / Answer

0 = 4 ÷ 4 × 4 - 4 1 = 4 ÷ 4 + 4 - 4 2 = 4 -(4 + 4)÷ 4 3 = (4 × 4 - 4)÷ 4 4 = 4 + 4 ×(4 - 4) 5 = (4 × 4 + 4)÷ 4 6 = 4 +(4 + 4)÷ 4 7 = 4 + 4 - 4 ÷ 4 8 = 4 ÷ 4 × 4 + 4 9 = 4 ÷ 4 + 4 + 4

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.