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Use exactly four 4's to create each integer number from 0 to 20, using only the operators +, -, x, ÷, () (parenthesis), . (decimal point), and ^2 (square). Digits can be combined (44 – 44 = 0). Example for number 0 and number 6 are provided below. 0: 44-44 = 0 1: 2: 3: 4: 5: 6: (4 + 4) ÷ 4 + 4 = 6 7: 8: 9: 10: 11: 12: 13: 14: 15: 16: 17: 18: 19: 20:

Mr. Redondo - ISM

Student Instructions

4 Fours – Target Challenge

Use exactly four 4's to create each integer number from 0 to 20, using only the operators +, -, x, ÷, () (parenthesis), . (decimal point), and ^2 (square). Digits can be combined (44 – 44 = 0). Example for number 0 and number 6 are provided below. Examples: 0: 44 - 44 = 0 6: (4 + 4) ÷ 4 + 4 = 6 1. Tap the ADD button. 2. Use the student template to complete the assignment.

9th Grade, 8th Grade, 7th Grade, STEAM, Math
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Teacher Notes (not visible to students)

Solutions: 0 = 4 ÷ 4 × 4 − 4 or 44 - 44 1 = 44 ÷ 44 or (4 + 4) ÷ (4 + 4) or (4 ÷ 4) ÷ (4 ÷ 4) 2 = 4 ÷ 4 + 4 ÷ 4 3 = (4 + 4 + 4) ÷ 4 4 = 4 x (4 - 4) + 4 5 = (4 x 4 + 4) / 4 6 = (4 + 4)÷ 4 + 4 or 4 x .4 + 4.4 7 = 44 ÷ 4 - 4 8 = 4 ÷ 4 × 4 + 4 or 4 + 4.4 - .4 9 = 4 ÷ 4 + 4 + 4 10 = (44 − 4) ÷ 4 or 44 ÷ 4.4 11 = 4 ÷ .4 + 4 ÷ 4 12 = (44 + 4) ÷ 4 13 = (4 − .4) ÷ .4 + 4 14 = 4 x (4 - .4) - .4 15 = 44 ÷ 4 + 4 16 = 4 × 4 + 4 − 4 . or .4 x (44 - 4) 17 = 4 ÷ 4 + 4 x 4 18 = 44 x .4 + .4 19 = (4 + 4 − .4) ÷ .4 20 = 4 x (4 ÷ 4 + 4) Other solutions not listed above might exist.