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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

##
4 Fours – Target Challenge

**Grades:**
9th Grade,
7th Grade,
8th Grade

**Subjects:**
STEAM,
Math

**Student Instructions**

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.

**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.