We can now describe a calculation such as 4 + (-2) - (+5) - (-1) + (+7) in the following way: In this model, we represent positive numbers as 'puffs' of hot air, and negative numbers as sandbags. The first model we offer is the hot air balloon, as seen in the game Up, Down, Flying Around. There are four possibilities that we need to be able to understand with our models:
#Negative minus negative number how to#
We will make suggestions about how to use language precisely in order to support the understanding of the distinction between operations and directed numbers. The models for teaching addition and subtraction of positive and negative numbers that we share in this article are designed to lead to understanding. For example, we have all heard students say things like "minus four minus two equals six, because two minuses make a plus!" We are often frustrated when we hear students say "Two minuses make a plus", because it shows a rote-learned phrase that is often misapplied. The original article is contained within this version. So next we're going to graph this function, it's a very interesting graph.This article is an expanded version of one published on NRICH in 2008.
Negative pi would be -1, -2, -3 would be over here, and so the greatest integer less than or equal to negative pi would actually be -4.
Remember you're always travelling to the left on the number line. Watch out for the greatest integer when you're dealing with negative numbers. The greatest integer less than or equal to pi is 3 and negative pi. How about pi? Pi is a little more than 3, 3.14. What about something like root 2? Square root of 2 is about 1.41, 1.41 is in here so the greatest integer less than or equal to root 2 is 1. And of course, the greatest integer less than or equal to -1 is -1 so all three of theses numbers have the same greatest integer, -1. So the greatest integer less than or equal to negative 0.01 is negative 1. That's ever so slightly to the left of zero. The greatest integer less than or equal to negative 0.5 is -1. What about negative 0.5? Negative 0.5 is right here. So all of these numbers have the same greatest integer zero. And remember that it's the greatest integer less than or equal to, so the greatest integer less than or equal to zero is itself zero. Greatest integer less than or equal to 0.99 0.99 is not quite 1, so the greatest integer less than or equal to 0.99 is also 0. The greatest integer less than or equal to 0.5 is 0, so it's equal 0. If you go on the number line and find 0.5 right here. The greatest integer less than or equal to 0.5. Let's do some let's evaluate it for a couple of numbers.
I want to talk about a new parent function called the greatest integer function and it's sometimes also called the "floor function." And this is the symbol for the greatest integer of x and the definition is the greatest integer less than or equal to x.
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