# Pages 26 through 46

## Page 5 – Add to 10 Ones DigitPage 6- Add to 10 Tens DigitPage 7 – Multiplying by 25Page 8 – Multiplying by 50Page 9 – Multiplying by 75Page 10 – Multiplying by 125Page 11 – Multiplying by 11Page 12 – Multiplying by 111Page 13 – Multiplying by 12Page 14 – Multiplying by 15Page 15 – Multiply by 16 2/3Page 16 – Multiplying by 101Page 17 – Multiplying by 1001Page 18 – Multiplying both over 100Page 19 – Multiplying both under 100Page 20 – Multiplying over/under 100Page 21 – Double/Half MultiplicationPage 22 – Double/Double DivisionPage 23 – Adding/Subtracting FractionsPage 24 – FOILPage 25 – Multiplying over/under square

1. ##### Bryan Neal

Hi there. Thanks for the number sense video resources/tricks. Using different platforms for students to learn this year has been a new thing I have been searching for. Thanks so much.
Bryan Neal

2. ##### S.C.

Thank you for these awesome tricks. You are very thoughtful for posting these videos on top of being a teacher and teaching your own students. My score has increased magnificently. Thank you so much!

1. ##### anthony gillespey

Your welcome, I’m going to start working on a Calculator book and video series sometime this summer.

3. ##### Lightning

Hello. I was wonder if there was a trick for multiplying 43×34 or 67×76. Like a reflection trick. Thank you.

1. ##### anthony gillespey

I don’t know of one although Ill spend sometime on the Algebra and see if i can find something.

2. ##### Math Rocks

u can use foil

4. ##### anthony gillespey

Just changed the formatting for the pages with videos. Each video now has its own page. I had a problem with the plugin I used for the page and had to change it a bit. Let me know if anyone sees mistakes.

5. Is there a shortcut to this problem?
If there is can you help me solve this problem.

9 2/15 – 5 4/5 = ?

Thank you

1. ##### anthony gillespey

Not really for this one. Just crunch the numbers like normal.

2. ##### Math Rocks

What I did when I saw that question on the MSNS was I did 4/5 and made that 12/15. Then, I subtracted 12/15 from 2/15. I did this by going up from 12 to 15 (add 3) and then I added 2 to get 1 and 2/15. I added 5/15 to 12/15 to get to (1 and) 2/15. 5/15 simplified is 1/3. Then, since I went UP 5/15 to solve for the fraction, I did 9-5, which is 4, but since I went UP to simplify the fraction, I subtracted 1 more time, to get 3 and 1/3 as my answer. This probably won’t even make sense to you, but if it does, I hope it works later in the future. It’s easier to explain it visually.

1. Thanks

3. ##### anthony gillespey

Another interesting way is to be OK with negative answers. 9-5=4 and 2/15 – 4/5 = 2/15 -12/15 = – 10/15 so you get 4 and – 2/3 or 3 and 1/3. Which is nice since the numbers stayed small.

1. Thanks

6. ##### Jake

Is there an easy way to multiply a 3 digit number by another 3 digit number
Ex:
565*344

1. ##### anthony gillespey

Are you doing Number Sense Tests? If so I think you are doing an estimation question. If that is the case you dont really care what the exact answer is. If I was doing this question you asked with estimation then is alot easier. 565*344 is really close to 560 * 333. which would be 560 *1/3 with some zeroes. Which is really easy.

7. ##### Mia hinojosa

Hey do you know the 33 1/3 trick I could not find it in your book?

1. ##### anthony gillespey

33 and 1/3 is basically 1/3 think of it as 1/3 and do the math then figure out how many zeroes to add.

8. ##### Math Rocks

Hello. On the Cross Timbers Number Sense Test on October 2015, there was a question (question 76) that I didn’t know any trick for. It wasn’t an estimation question either, so I was wondering how to do it. The question was, 143 x 133. Can you tell me how to solve this if there is a way to? Thanks.

1. ##### anthony gillespey

I’ll give you a hint 143 is a multiple of 7.

1. ##### Math Rocks

Thanks. I saw it on page 28

9. is there a trick for multiplying 213 by 138?

1. ##### Math Rocks

I don’t know if this will help, but I found that 213 = 71 x 3, and 138 = 23 x 6, or 23 x 2 x 3.

1. ##### anthony gillespey

I discovered those myself not to long ago. I think in later editions of the book I will include those. Thanks.

1. ##### Math Rocks

you should round 138 to 140 and 213 to 200

10. ##### Math Rocks

Well, Flour Bluff has dominated once again. I’m from Fowler, and we got 3rd place. I can’t understand how Flour Bluff could get 5100 points! They’re so good, but next year our school will probably be moved down to 4A because there is a new school coming in. But anyways, I’ll get to the point. Mr. Gillespy, I have a question for you about the recent state test. How do you number 53, which states A set with 10 elements has how many 7-element subsets? BTW, I got 5th place in Number Sense!

1. ##### anthony gillespey

Fowler did really good this year. You guys gave us a run for our money and should be extremely proud of your results. Having you guys in 5A definitely makes the contest more exciting.

Great job getting 5th at state I know that was incredibly hard to do. hopefully my book helped.

To answer your question about question 53, subsets with certain amounts are just variations of Combinations so just think of it as a 10 choose 7 combination which is 10!/ (7! x 3!)

1. ##### Math Rocks

Thanks Mr. Gillespy. Your book helped a lot too. I just have one more question. How do you solve this: The slope of a line with x-intercept of (5, 0) and a y-intercept of (0, –2) is?

1. ##### anthony gillespey

What are you asking.? The slope or the equation of the line?

1. ##### Math Rocks

slope

2. ##### Math Rocks

never mind… I made a simple mistake while trying to do y1-y2/x1-x2

2. ##### Math Rocks

We might not be in 5A next year, because there is a new high school coming in next year, and it will probably lower the population which might place us in 4A. Can you answer the question I asked you?
Thx

11. ##### Lightning

Can u please make a calculator section tricks to ur website. I have a bit of trouble with it.

1. ##### anthony gillespey

Someday I will get around to it. Not ready to do that just yet.

12. ##### Math Rocks

Hi Mr. Gillespy,

How do you do a problem like a times b/c. An example is 16 x 19/21. I know you can do it in your head but I was wondering if there was a fast way

13. ##### Math Rocks

Hi Mr. Gillespy,

How do you do a problem like a times b/c. An example is 16 x 19/21. I know you can do it in your head but I was wondering if there was a fast way

1. ##### Math Rocks

sorry for commenting the same comment two times, my computer was facing some problems and I think I double clicked the send button for the comment

2. ##### anthony gillespey

This problem is actually pretty hard to explain but ill give it a try. the key is that the denominator is 21. Subtract 19 and 16 from 21. You get 2 and 5. Multiply those numbers.
That is your new numerator. Your whole number is like the old trick. Since 19/21 is less than 1 you subtract the difference from 16. So the final answer is 14 10/21 . This gets harder when you multiply the numbers and they are negative. Look for this trick in my new book.

14. ##### Jacob

Thanks so much for making this book. Our school Vandeventer benefits from it a lot!

1. ##### anthony gillespey

Great to hear. Have a great season.

15. ##### NK

does any of this help if you are taking the PSAT 8/9?

1. ##### anthony gillespey

Some of it. General Math and Calculator would help more.

16. ##### NK

This will help for math and science team, right?

17. ##### MP

I was wondering if there was a trick for things like 1+2+3…+15=.

1. ##### anthony gillespey

yep its in the book and videos.

18. ##### FORTNITE

So, the double/double division trick is basically that since you have doubled both numbers when you divide it it comes out to the same number as the original equation, right?

1. ##### anthony gillespey

yep

19. ##### Smiley

This is really helpful math and science learned alot

20. ##### Cat

Hi I like math

1. ##### anthony gillespey

LOL nice troll.

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