This is also a hard question i am stuck on. Please make my day by providing a correct answer.
(Please provide answers with different operations and please do not use +, -, *, / over and over again)
You may use the four main operations and other symbols (+, -, *, /, integers, powers, square roots) to make number sentences to equal the numbers from 0 to -10 only using four 4's for example:
0 = (4 + 4) - (4 + 4)
-1 =
-2 =
-3 =
Etc all the way to -10
Please help me out I've been stuck on this like 2 hours straight trying to think of -1 to -10.
It will absolutely make my day if you answer this.
(Please provide answers with different operations and please do not use +, -, *, / over and over again)
You may use the four main operations and other symbols (+, -, *, /, integers, powers, square roots) to make number sentences to equal the numbers from 0 to -10 only using four 4's for example:
0 = (4 + 4) - (4 + 4)
-1 =
-2 =
-3 =
Etc all the way to -10
Please help me out I've been stuck on this like 2 hours straight trying to think of -1 to -10.
It will absolutely make my day if you answer this.
-
-1 = 4 - 4 - (4/4)
-2=-(4/4) - (4/4)
-3= (4/4)-sqrt(4)-sqrt(4)
-4=-sqrt(4)-sqrt(4)+4-4
-5=-(4/4)-sqrt(4)-sqrt(4)
-6=-4-sqrt(4) +4 -4
-7=-4 -4 +(4/4)
-8=-4 -4 -4 +4
-9=-4 -4 -(4/4)
-10=-4-4-4+sqrt(4)
where sqrt means square root
-2=-(4/4) - (4/4)
-3= (4/4)-sqrt(4)-sqrt(4)
-4=-sqrt(4)-sqrt(4)+4-4
-5=-(4/4)-sqrt(4)-sqrt(4)
-6=-4-sqrt(4) +4 -4
-7=-4 -4 +(4/4)
-8=-4 -4 -4 +4
-9=-4 -4 -(4/4)
-10=-4-4-4+sqrt(4)
where sqrt means square root
-
I am not sure what you mean when you say to use "integers" because and integer is any whole number, yet the problem is specific to four 4's. I assumed you meant something else though :) This is really just logic, not math
Small caveat.... the square root of a number returns both a + and -. All of these equations are true, though there might be other answers as well. I put the sign I used in parentheses.
-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 -- (+ + -)
-10 = 4 + √4 + √4^4 -- (+ -)
Like I said, all these are correct though there are other possible answers as well. And I am sure there are other ways you can set them up. I will admit -4 is iffy though, but it is correct.... that was the hard one imo :) anywho, hope this helps
Small caveat.... the square root of a number returns both a + and -. All of these equations are true, though there might be other answers as well. I put the sign I used in parentheses.
-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 -- (+ + -)
-10 = 4 + √4 + √4^4 -- (+ -)
Like I said, all these are correct though there are other possible answers as well. And I am sure there are other ways you can set them up. I will admit -4 is iffy though, but it is correct.... that was the hard one imo :) anywho, hope this helps