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. 
November 30th, 2016, 03:24 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,985 Thanks: 1853 
53 = 1 + (4! + √9)*2

December 1st, 2016, 07:39 AM  #3 
Newbie Joined: Nov 2016 From: Toronto Posts: 2 Thanks: 1  
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 
Math Team Joined: Jul 2011 From: Texas Posts: 2,781 Thanks: 1432  
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  
Math Team Joined: Jul 2011 From: Texas Posts: 2,781 Thanks: 1432  Quote:
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: 7,512 Thanks: 2514 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: 13,629 Thanks: 954 
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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