X DOUBLE ONE MATHEMATICAL INVESTIGATION.pptx

MI sample-Nailyn Cabudol

1. DOUBLE X NAILYN R. CABUDOL Investigator SIOASIO INTEGRATED SCHOOL

2. II. INTRODUCTION Math tricks help pupils learn techniques on how to solve questions quickly and can help pupils develop greater confidence in Math, improve Math skills and understanding (cuemath.com). Many Mathematics tricks call on learners to compute the four basic operations. In the context of Math magic, computational practice is fun. If a trick works for some learners and not to others, it’s amazing how eager they can be to find and fix their mistakes so the trick will come out right.

3. III. STATEMENT OF THE PROBLEM The researcher of this mathematical investigation would like to determine the following; A.Multiplying four-digit numbers by 11. B.Using different way of finding the product of four-digit numbers by 11.

4. IV. CONJECTURES To find the product of 4325 and 11 using different way. 4325 X 11 47,575 Steps: 1.First, copy the digit in ones place of the multiplier which is 5 . It will be written in the ones place of your product.Then add the digit in ones place by the tens place(5+2= 7 ).The answer will be in the tens place of your product. 2.Next, add the digit in tens place to the hundreds place(2+3= 5 ). Then the answer will be written on the hundreds place. 3. After that, add the digit in the hundreds place and thousands place(3+4= 7 ). Then the answer will be written on the thousands place. 4.Lastly, just copy the digit ( 4 ) in the thousands place and will be written as the thousands digit of your product.

5. V. VERIFYING CONJECTURES Find the product of 6327 and 11 by using different way. Follow the previous steps. 6327 X 11 69,597 Steps: 1.First, copy the digit in ones place of the multiplier which is 7 . It will be written in the ones place of your product.Then add the digit in ones place by the tens place(7+2= 9 ). The answer will be in the tens place of your product. 2.Next, add the digit in tens place to the hundreds place(2+3= 5 ). Then the answer will be written on the hundreds place. 3. After that, add the digit in the hundreds place and thousands place(6+3= 9 ). Then the answer will be written on the thousands place. 4.Lastly, just copy the digit ( 6 ) in the thousands place and will be written as the thousands digit of your product.

6. V. VERIFYING CONJECTURES Find the product of 6327 and 11 using the traditional way of solving. 6327 X 11 6327 6327 69,597 *At this stage, the conjecture has been tested and supported. * Conjecture was proven.  

7. VI. JUSTIFICATION Let’s Try again!   5418 X 11 59, 598 4453 X 11 48,983 *In finding the product of four digit numbers by 11, it is applicable to use other way in solving by following the steps.

8. VII. SUMMARY After investigation and verifications, the researcher found out that there is other way to multiply 4 digit numbers by 11.

9. VIII. POSSIBLE EXTENSIONS How about if we multiply 4 large digit numbers by 11 using the other way of solving? 6875 X 11 61415125 6875 X 11 7 5, 6 2 5 1. First, copy 5 in the ones place of the product. 2. 5+7=12 3. 8+7+1=16 4. 8+6+1=15 5. 6+1=7 *Just regroup if the product is 10 or more .

10. VIII. POSSIBLE EXTENSIONS It’s the same result. We can conclude that it can apply in finding the product of large 4 digit numbers by 11 with regrouping.

11. REFERENCES https://www.cuemath.com https://math4teaching.com

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