Download Four Fours Use the symbol 4 exactly four times to write number

Four Fours
Use the symbol 4 exactly four times to write number sentences equivalent to the numbers
from 1 through 20 and beyond. You may use any of the mathematical symbols listed
below. A few examples are provided.
• Arithmetic operations: + – × ÷
• Square root:
• Parentheses: ( )
• Factorial: ! [4! = (4)(3)(2)(1) = 24]
• Decimal points or percents: e.g., 4.4, .44, or 44% • Concatenation: e.g., 44 or 444
• Exponentiation: ^ (to the power of)
Number
1
• Repeating decimal: .4 =
Four Fours Equation
Number
44
11
⎛ 4⎞
⎜ ⎟
⎝ 4⎠
=1
2
12
3
13
4
14
5
15
6
16
7
4+4−
4
=7
4
Four Fours Equation
44
+ 4 = 15
4
17
8
18
9
19
10
20
4
9
Teaching and Learning Middle Grades Mathematics ©2004 Key College Publishing