My Math Forum A 10 year old's math assignment has me stumped... any help?

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 November 30th, 2016, 09:48 AM #1 Newbie   Joined: Nov 2016 From: Toronto Posts: 2 Thanks: 1 A 10 year old's math assignment has me stumped... any help? The task: Using the digits of the year 1492 once and in the order that they appear in the year, and any of the following operations: square root, factorials, exponents, decimals, parentheses, negative numbers, addition, multiplication, subtraction, division, construct all numbers from 1 to 100. Examples: 84 = 14 x √9 x 2 90 = (1+4) x 9 x 2 My daughter has solved them all except for 53. Any help is appreciated. Thanks from Spritofmaths
 November 30th, 2016, 03:24 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,262 Thanks: 1958 53 = -1 + (4! + √9)*2 Thanks from topsquark and deesuwalka
December 1st, 2016, 07:39 AM   #3
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Quote:
 Originally Posted by skipjack 53 = -1 + (4! + √9)*2
Thank you!!

 December 8th, 2016, 11:47 PM #4 Newbie   Joined: Dec 2016 From: Geneva Posts: 5 Thanks: 0 Also, 53 = 1 * (sqrt(4) - 9)^2 + 2^2
December 9th, 2016, 05:21 AM   #5
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Quote:
 Originally Posted by Matthewmatician Also, 53 = 1 * (sqrt(4) - 9)^2 + 2^2
Too many dueces ... you can only use the "2" once.

 December 13th, 2016, 04:22 AM #6 Banned Camp   Joined: Nov 2016 From: St. Louis, Missouri Posts: 28 Thanks: 4 Math Focus: arithmetic, fractions Seeing that you came up with an equation involving "84" and including squares roots and multiplication, you can keep going higher until you find a number whose equation comes close to 1492.
December 13th, 2016, 05:02 AM   #7
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Quote:
 Originally Posted by toddhicks209 Seeing that you came up with an equation involving "84" and including squares roots and multiplication, you can keep going higher until you find a number whose equation comes close to 1492.
I don't think you understand the original problem ...

Using the digits 1, 4, 9, and 2 only once in that order, form expressions that equal every number from 1 to 100, not 1492

 November 28th, 2017, 07:52 AM #8 Newbie   Joined: Nov 2017 From: miami Posts: 1 Thanks: 0 1492 Assignment of the year Please help to find 59, 60 and 61
 November 28th, 2017, 10:54 AM #9 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,598 Thanks: 2583 Math Focus: Mainly analysis and algebra $-1+4^\sqrt{9} - 2=61$
 November 28th, 2017, 10:55 AM #10 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,938 Thanks: 984 Skip has solution for 59 and 61 (post#4) here: 10 year olds math assignment challenge! (1 + 4) * sqrt(9)! * 2 = 60 Another 59: 14 + 9/.2 = 59 Last edited by Denis; November 28th, 2017 at 11:01 AM.

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