Tutor profile: Courtney L.
When editing your own writing, what are some techniques you use to improve your own work?
This question is meant for the student to reflect on his/her own techniques of editing papers. Listen to the student's response to see what works for him/her. Once you have learned more about the student's way of thinking, provide more ways the student can try to edit his/her own papers. To see if the paper makes sense organizationally, have the student create an outline of the paper with the main ideas of each paragraph. Rework the structure if the topics do not make sense in the current order. To check for the flow of the paper, have the student focus on transitions in between paragraphs. Is he/she connecting the paragraphs, or are they abruptly switching topics? To proof-read for grammatical errors, have the student read the essay out loud. It is important to provide the student with many different techniques when reading through an essay to help narrow the focus. We don't want students depending on other people to rework their essays.
Subject: Basic Math
Express 72/500 as a decimal
We first read the question. We know that the 72/500 is a fraction and the question is asking us to write this in decimal form. We know that a fraction is part over whole. We can either divide 71 by 500, or we can try to manipulate the fraction to for easier division. In order to manipulate the fraction without changing its value, we can multiply by 1. Any number divided by itself, other than 0/0 is 1 (0/0 is undefined). Fractions to decimals are easier to understand if the denominator is a power of 10 (10, 100, 1000, etc.). To make the denominator 1000 we need to multiply 500 by 2. 5*2 is 10 and add the two zeros of 500 to get 1000. If we multiplied the denominator by 2 we must multiply the numerator by 2. 72*2 --> 2*2 is 4 and 2*7 is 14 so 72*2 is 144. Now our fraction is 144/1000. To divide a number by 1000 we simply move the decimal place to the left by the number of 0s. We must move the decimal place of 144.0 to the left 3 spaces. We do the same to the denominator. Our fraction is now 0.144/1. Anything divided by 1 is itself, so the fraction is equal to 0.144.
A number is increased by 2 and then multiplied by 3. The result is 24. What is this number?
The first step is to read the problem in full to determine our variables. The unknown in the question is the "number". We must define all variables, so we will let x be the number. Next, we read through the problem again knowing that the number is x to be solved. We need to remember to pay close attention to the order of operations (PEMDAS) "A number is increased by 2" --> x+2 "then multiplied by 3" --> (x+2)*3 "the result is 24" --> the equation is equal to 24 --> (x+2)*3=24 Using all the details from the question, we have created a linear equation that we can solve. First, we divide by 3 --> (x+2)=8 Then, we subtract 2 --> x=6