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I've just started my preparations for GMAT and I've identified one misalignment between how I was taught and how GMAT materials are stating (I'm using Manhattan Prep materials) - rounding
So where is the issue?
1. We have following question: In the decimal, 2.4d7, d represents a digit from 0 to 9. If the value of decimal rounded to the nearest tenth is less than 2.5 what are the possible values of d? 2. How I would solve it (based on how it was taught in Russian schools): 2.1. Round to hundredths and as thousandths is >=5 -> it becomes (d+1) 2.2. As rounded to the nearest tenth is <2.5 than (d+1)<5 -> d<4 (exclusive) 3. What Manhattan Materials state: d can be {0;1;2;3;4}
How come also 4 if we will round it to 5 with 7 as thousandths and 5 will round tenths to 5 which will contradict "less than 2.5" requirement?
Does it mean that in GMAT questions of this type you have to ignore sequential rounding?
Regards, Stan
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2. How I would solve it (based on how it was taught in Russian schools): 2.1. Round to hundredths and as thousandths is >=5 -> it becomes (d+1) 2.2. As rounded to the nearest tenth is <2.5 than (d+1)<5 -> d<4 (exclusive)
You did everything correct but the one highlighted above.
When I am saying rounded to the nearest tenth is less than 5,it means the digits after decimal can be a maximum of 449 such that the final number is 2.449.
Now, when I need to round it to tenth place, I will see whether I have a number after the very first digit after decimal less than 5. If yes, after rounding off, I will get 2.40
So, you should not round it one by one from the right. You should see the digit to be rounded and see whether it is less than 5 or greater than 5.
2. How I would solve it (based on how it was taught in Russian schools): 2.1. Round to hundredths and as thousandths is >=5 -> it becomes (d+1) 2.2. As rounded to the nearest tenth is <2.5 than (d+1)<5 -> d<4 (exclusive)
Hey ,
Welcome to GMATClub
You did everything correct but the one highlighted above.
When I am saying rounded to the nearest tenth is less than 5,it means the digits after decimal can be a maximum of 449 such that the final number is 2.449.
Now, when I need to round it to tenth place, I will see whether I have a number after the very first digit after decimal less than 5. If yes, after rounding off, I will get 2.40
So, you should not round it one by one from the right. You should see the digit to be rounded and see whether it is less than 5 or greater than 5.
Does that make sense?
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Ok, looks like there is an issue in understanding of principals (checked on other resources): 1. Round 2. Round Up 3. Round Down
And while in normal life Round Up is mostly used (at least in my experience), in GMAT they ask only for standard Round which checks only following figure - not whole set of figures after.
This is very confusing as even Excel uses Round Up and not standard Round method. abhimahna Is this simply GMAT feature / simplification?
Ok, looks like there is an issue in understanding of principals (checked on other resources): 1. Round 2. Round Up 3. Round Down
And while in normal life Round Up is mostly used (at least in my experience), in GMAT they ask only for standard Round which checks only following figure - not whole set of figures after.
This is very confusing as even Excel uses Round Up and not standard Round method. abhimahna Is this simply GMAT feature / simplification?
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.