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Post Info TOPIC: Question on Estimations - Please help.
Anonymous

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Question on Estimations - Please help.
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Hello,
I have been going to the meets for Number sense but it seems I can never get the estimation problems right. I am told there is a trick but don't know what it is. Some one, please help!

1.) 931143/ 308
Answer: 2873-3174
2.) 299 * 298
Answer: 84647-9355
3.) 71% of 5192
Answer: 3503-3870
4.) 392*187
Answer: 69639-76969
5.) 508*309
Answer:149124-164820
6.) 148 divided by 63/7
Answer: 22-24
7.) 21+37+42+18+53+89
Answer: 247-273
8.) 1792 divided by 13.2
Answer: 129-142


This is not an estimation question, but is there a trick to multiplying numbers like this. I only know squares upto 20 thru memorization.
1.) 54*54
Answer : 2916


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Anonymous wrote:

Hello,
I have been going to the meets for Number sense but it seems I can never get the estimation problems right. I am told there is a trick but don't know what it is. Some one, please help!

1.) 931143/ 308
Answer: 2873-3174
2.) 299 * 298
Answer: 84647-9355
3.) 71% of 5192
Answer: 3503-3870
4.) 392*187
Answer: 69639-76969
5.) 508*309
Answer:149124-164820
6.) 148 divided by 63/7
Answer: 22-24
7.) 21+37+42+18+53+89
Answer: 247-273
8.) 1792 divided by 13.2
Answer: 129-142


This is not an estimation question, but is there a trick to multiplying numbers like this. I only know squares upto 20 thru memorization.
1.) 54*54
Answer : 2916



There are several ways to work these typically.  Here are my suggestions at first glance:
1.) 931143/ 308

I use quick division, dividing the first 3 digits of the first number by 308:
931 / 308 = 3 with remainder 7
then add the next digit and see if it divides into 308
71 / 308 = 0 with remainder 71
then add the next digit
714/308 = 2 with remainder (who cares after this - you should be within 5%)
Finally, you must see that you will have an answer of 4 digits.
Answer then is 3020

Alternate = note that 31^2 = 961 so answer is a little less than 3100

2.) 299 * 298
300 * 300 = 90000

3.) 71% of 5192
71% * 5200 is approximately 3500 + 140 = 3640

4.) 392*187
I would approximate by (392+8) * (187 - 8), or 400 * 180 = 72000

5.) 508*309
I would approximate by (508 - 8) * (309 + 8), or 500 * 317 = 158500

6.) 148 divided by 6 3/7
I would use 148 * 7/45 = 1000 / 45 which is just over 22

7.) 21+37+42+18+53+89
For this style you can usually round each number to the nearest 10 and add:
20 + 40 + 40 + 20 + 50 + 90 = 100 + 70 + 90 = 260
Answer: 247-273

8.) 1792 divided by 13.2
Note 13^2 = 169, so 179 / 13 is a little more than 13.  Also you will have one more digit so write down a little more than 130... say 134 (although 130 would also work in this case...takes practice to know when to decide how precise you need to be)

1.) 54*54

Squaring numbers in the 50's trick:

54 * 54 = (25 + 4) & 4^2, or 29 & 16, or 2916

other 50's examples:

51 * 51 = (25 + 1) & 1^2, or 2601

52 * 52 = (25 + 2) & 2^2, or 2704

58 * 58 = (25 + 8) & 8^2, or 3364.



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