Open Middle®
Directions: Use the digits 0 to 9, only once, to make the inequality true.
Hint
What are steps in the order of operations?
Answer
20 greater than or equal to 3 + (5-2) x 4, many more answers
Source: Laura Wagenman
Tags 5.OA.1 DOK 2: Skill / Concept Laura Wagenman
Check Also
Add Fractions with Decimal Sums
Directions: Using the digits 1 to 9 at most one time each, place a digit …
20 is greater than or equal to 3+(5-2) x 4,
There are other answers as well
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20 > 3 + ( 2 – 1 ) x 4
20 > 4 + ( 3 – 2 ) x 5
20 > 5 + ( 4 – 3 ) x 6
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3 + (5-2) x 4
F E E T
20 is greater than or equal to 2 + (9 – 7) x 5
(1,028 solutions where the expression is greater than 20)
3,962 solutions where the expression is smaller than 20
50 solutions where the expression is equal to 20.
4,012 solutions where 20 >= expression.
If we only allow non-negative solutions:
2,104 solutions where 20 > expression > 0
2,154 solutions where 20 >= expression > 0:
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8+(4-5)*0
8+(4-5)*1
8+(4-5)*2
8+(4-5)*3
8+(4-5)*6
8+(4-5)*7
8+(4-6)*0
8+(4-6)*1
8+(4-6)*2
8+(4-6)*3
8+(4-7)*0
8+(4-7)*1
8+(4-7)*2
8+(4-9)*0
8+(4-9)*1
8+(5-0)*1
8+(5-0)*2
8+(5-1)*0
8+(5-1)*2
8+(5-1)*3
8+(5-2)*0
8+(5-2)*1
8+(5-2)*3
8+(5-2)*4
8+(5-3)*0
8+(5-3)*1
8+(5-3)*2
8+(5-3)*4
8+(5-3)*6
8+(5-4)*0
8+(5-4)*1
8+(5-4)*2
8+(5-4)*3
8+(5-4)*6
8+(5-4)*7
8+(5-4)*9
8+(5-6)*0
8+(5-6)*1
8+(5-6)*2
8+(5-6)*3
8+(5-6)*4
8+(5-6)*7
8+(5-7)*0
8+(5-7)*1
8+(5-7)*2
8+(5-7)*3
8+(5-7)*4
8+(5-9)*0
8+(5-9)*1
8+(5-9)*2
8+(6-0)*1
8+(6-0)*2
8+(6-1)*0
8+(6-1)*2
8+(6-2)*0
8+(6-2)*1
8+(6-2)*3
8+(6-3)*0
8+(6-3)*1
8+(6-3)*2
8+(6-3)*4
8+(6-4)*0
8+(6-4)*1
8+(6-4)*2
8+(6-4)*3
8+(6-4)*5
8+(6-5)*0
8+(6-5)*1
8+(6-5)*2
8+(6-5)*3
8+(6-5)*4
8+(6-5)*7
8+(6-5)*9
8+(6-7)*0
8+(6-7)*1
8+(6-7)*2
8+(6-7)*3
8+(6-7)*4
8+(6-7)*5
8+(6-9)*0
8+(6-9)*1
8+(6-9)*2
8+(7-0)*1
8+(7-1)*0
8+(7-1)*2
8+(7-2)*0
8+(7-2)*1
8+(7-3)*0
8+(7-3)*1
8+(7-3)*2
8+(7-4)*0
8+(7-4)*1
8+(7-4)*2
8+(7-4)*3
8+(7-5)*0
8+(7-5)*1
8+(7-5)*2
8+(7-5)*3
8+(7-5)*4
8+(7-5)*6
8+(7-6)*0
8+(7-6)*1
8+(7-6)*2
8+(7-6)*3
8+(7-6)*4
8+(7-6)*5
8+(7-6)*9
8+(7-9)*0
8+(7-9)*1
8+(7-9)*2
8+(7-9)*3
8+(7-9)*4
8+(9-0)*1
8+(9-1)*0
8+(9-2)*0
8+(9-2)*1
8+(9-3)*0
8+(9-3)*1
8+(9-3)*2
8+(9-4)*0
8+(9-4)*1
8+(9-4)*2
8+(9-5)*0
8+(9-5)*1
8+(9-5)*2
8+(9-5)*3
8+(9-6)*0
8+(9-6)*1
8+(9-6)*2
8+(9-6)*3
8+(9-6)*4
8+(9-7)*0
8+(9-7)*1
8+(9-7)*2
8+(9-7)*3
8+(9-7)*4
8+(9-7)*5
8+(9-7)*6
9+(0-1)*2
9+(0-1)*3
9+(0-1)*4
9+(0-1)*5
9+(0-1)*6
9+(0-1)*7
9+(0-1)*8
9+(0-2)*1
9+(0-2)*3
9+(0-2)*4
9+(0-3)*1
9+(0-3)*2
9+(0-4)*1
9+(0-4)*2
9+(0-5)*1
9+(0-6)*1
9+(0-7)*1
9+(0-8)*1
9+(1-0)*2
9+(1-0)*3
9+(1-0)*4
9+(1-0)*5
9+(1-0)*6
9+(1-0)*7
9+(1-0)*8
9+(1-2)*0
9+(1-2)*3
9+(1-2)*4
9+(1-2)*5
9+(1-2)*6
9+(1-2)*7
9+(1-2)*8
9+(1-3)*0
9+(1-3)*2
9+(1-3)*4
9+(1-4)*0
9+(1-4)*2
9+(1-4)*3
9+(1-5)*0
9+(1-5)*2
9+(1-6)*0
9+(1-7)*0
9+(1-8)*0
9+(2-0)*1
9+(2-0)*3
9+(2-0)*4
9+(2-0)*5
9+(2-1)*0
9+(2-1)*3
9+(2-1)*4
9+(2-1)*5
9+(2-1)*6
9+(2-1)*7
9+(2-1)*8
9+(2-3)*0
9+(2-3)*1
9+(2-3)*4
9+(2-3)*5
9+(2-3)*6
9+(2-3)*7
9+(2-3)*8
9+(2-4)*0
9+(2-4)*1
9+(2-4)*3
9+(2-5)*0
9+(2-5)*1
9+(2-5)*3
9+(2-6)*0
9+(2-6)*1
9+(2-7)*0
9+(2-7)*1
9+(2-8)*0
9+(2-8)*1
9+(3-0)*1
9+(3-0)*2
9+(3-1)*0
9+(3-1)*2
9+(3-1)*4
9+(3-1)*5
9+(3-2)*0
9+(3-2)*1
9+(3-2)*4
9+(3-2)*5
9+(3-2)*6
9+(3-2)*7
9+(3-2)*8
9+(3-4)*0
9+(3-4)*1
9+(3-4)*2
9+(3-4)*5
9+(3-4)*6
9+(3-4)*7
9+(3-4)*8
9+(3-5)*0
9+(3-5)*1
9+(3-5)*2
9+(3-5)*4
9+(3-6)*0
9+(3-6)*1
9+(3-6)*2
9+(3-7)*0
9+(3-7)*1
9+(3-7)*2
9+(3-8)*0
9+(3-8)*1
9+(4-0)*1
9+(4-0)*2
9+(4-1)*0
9+(4-1)*2
9+(4-1)*3
9+(4-2)*0
9+(4-2)*1
9+(4-2)*3
9+(4-2)*5
9+(4-3)*0
9+(4-3)*1
9+(4-3)*2
9+(4-3)*5
9+(4-3)*6
9+(4-3)*7
9+(4-3)*8
9+(4-5)*0
9+(4-5)*1
9+(4-5)*2
9+(4-5)*3
9+(4-5)*6
9+(4-5)*7
9+(4-5)*8
9+(4-6)*0
9+(4-6)*1
9+(4-6)*2
9+(4-6)*3
9+(4-7)*0
9+(4-7)*1
9+(4-7)*2
9+(4-7)*3
9+(4-8)*0
9+(4-8)*1
9+(4-8)*2
9+(5-0)*1
9+(5-0)*2
9+(5-1)*0
9+(5-1)*2
9+(5-2)*0
9+(5-2)*1
9+(5-2)*3
9+(5-3)*0
9+(5-3)*1
9+(5-3)*2
9+(5-3)*4
9+(5-4)*0
9+(5-4)*1
9+(5-4)*2
9+(5-4)*3
9+(5-4)*6
9+(5-4)*7
9+(5-4)*8
9+(5-6)*0
9+(5-6)*1
9+(5-6)*2
9+(5-6)*3
9+(5-6)*4
9+(5-6)*7
9+(5-6)*8
9+(5-7)*0
9+(5-7)*1
9+(5-7)*2
9+(5-7)*3
9+(5-7)*4
9+(5-8)*0
9+(5-8)*1
9+(5-8)*2
9+(5-8)*3
9+(6-0)*1
9+(6-1)*0
9+(6-1)*2
9+(6-2)*0
9+(6-2)*1
9+(6-3)*0
9+(6-3)*1
9+(6-3)*2
9+(6-4)*0
9+(6-4)*1
9+(6-4)*2
9+(6-4)*3
9+(6-4)*5
9+(6-5)*0
9+(6-5)*1
9+(6-5)*2
9+(6-5)*3
9+(6-5)*4
9+(6-5)*7
9+(6-5)*8
9+(6-7)*0
9+(6-7)*1
9+(6-7)*2
9+(6-7)*3
9+(6-7)*4
9+(6-7)*5
9+(6-7)*8
9+(6-8)*0
9+(6-8)*1
9+(6-8)*2
9+(6-8)*3
9+(6-8)*4
9+(7-0)*1
9+(7-1)*0
9+(7-2)*0
9+(7-2)*1
9+(7-3)*0
9+(7-3)*1
9+(7-3)*2
9+(7-4)*0
9+(7-4)*1
9+(7-4)*2
9+(7-4)*3
9+(7-5)*0
9+(7-5)*1
9+(7-5)*2
9+(7-5)*3
9+(7-5)*4
9+(7-6)*0
9+(7-6)*1
9+(7-6)*2
9+(7-6)*3
9+(7-6)*4
9+(7-6)*5
9+(7-6)*8
9+(7-8)*0
9+(7-8)*1
9+(7-8)*2
9+(7-8)*3
9+(7-8)*4
9+(7-8)*5
9+(7-8)*6
9+(8-0)*1
9+(8-1)*0
9+(8-2)*0
9+(8-2)*1
9+(8-3)*0
9+(8-3)*1
9+(8-3)*2
9+(8-4)*0
9+(8-4)*1
9+(8-4)*2
9+(8-5)*0
9+(8-5)*1
9+(8-5)*2
9+(8-5)*3
9+(8-6)*0
9+(8-6)*1
9+(8-6)*2
9+(8-6)*3
9+(8-6)*4
9+(8-6)*5
9+(8-7)*0
9+(8-7)*1
9+(8-7)*2
9+(8-7)*3
9+(8-7)*4
9+(8-7)*5
9+(8-7)*6
2,110 of these are greater than 0. Lowest possible result is 1+(0-8)*9 =1-72=-71 if we allow negative numbers.