
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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November 30th, 2016, 08:48 AM  #1 
Newbie Joined: Nov 2016 From: Toronto Posts: 2 Thanks: 0  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, 02:24 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 17,703 Thanks: 1355 
53 = 1 + (4! + √9)*2

December 1st, 2016, 06:39 AM  #3 
Newbie Joined: Nov 2016 From: Toronto Posts: 2 Thanks: 0  
December 8th, 2016, 10:47 PM  #4 
Newbie Joined: Dec 2016 From: Geneva Posts: 5 Thanks: 0 
Also, 53 = 1 * (sqrt(4)  9)^2 + 2^2 
December 9th, 2016, 04:21 AM  #5 
Math Team Joined: Jul 2011 From: Texas Posts: 2,595 Thanks: 1285  
December 13th, 2016, 03:22 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, 04:02 AM  #7  
Math Team Joined: Jul 2011 From: Texas Posts: 2,595 Thanks: 1285  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  

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