In a previous lesson, we said that dividing a smaller number by a larger number produces a fraction with the numerator being the smaller-one and the denominator being the bigger-one. For example, to divide one apple by two, you need to write 1 (one apple) in the numerator and 2 (two friends) in the denominator. The result is a fraction of .
1. The TREE function grows much much faster than any construction of knuth up arrows. Because of this, inserting the TREE function into Grahams number would yield a number still very close to TREE (3). It would be like trying to create a number larger than a googolplex by adding a 1 on the end. You would be better off inserting Grahams number
2. See YouTube or wikipedia for the defination of Graham's number. A Googol is defined as 10100 10 100. A Googolplex is defined as 10Googol 10 Googol. A Googolplexian is defined as 10Googolplex 10 Googolplex. Intuitively, it seems to me that Graham's number is larger (maybe because of it's complex definition).
Usually the smaller number is more than a third or half of the larger number, if that makes sense. And the numbers can range anywhere between under 20 to up to 600, mostly under 200 though. Do larger numbers make this method more or less accurate?
Steps for Subtraction (Whole Numbers) Regrouping is a way to subtract a larger number from a smaller number within the same place value column. It is done by taking 10 away from the place value to the left and adding that 10 to the number that needs to be bigger on the right. Video Source (03:22 mins) | Transcript. Video Source (06:12 mins
Pick the rest of the elements one by one and follow the following steps in the loop. Mark the current element as next. If the stack is not empty, compare top most element of stack with next. If next is greater than the top element, Pop element from the stack. next is the next greater element for the popped element.
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