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4 th Grade Spring Intensification 2013-2014. Expanded Notation. Expanded notation , also called expanded form is a handy way to write numbers that shows the place value of each digit. It looks like an addition problem.
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Expanded Notation • Expanded notation, also called expanded form is a handy way to write numbers that shows the place value of each digit. It looks like an addition problem. • Try this http://studyjams.scholastic.com/studyjams/jams/math/numbers/expanded-notation.htm Now it’s your turn class. • Write 638, 096 in expanded notation on your slates! • Now let’s review with a fun, short video. http://www.youtube.com/watch?v=4AF7xj7pmWc
Add or subtract with a paper-and-pencil algorithm • An algorithm is a set of rules for solving a math problem. • Check out this cool subtracting video! • http://www.youtube.com/watch?v=EONR-YfJ-fU You could use the method in the video or your own successful way of adding and subtracting. Try these problems now on the next slide.
Adding and Subtracting algorithms practice 476 1,916 3,566 + 527+ 513+ 2,838 718 312 2,222 - 269- 78- 1,477 Now let’s check out a power point presentation on addition and subtraction [PPT]Subtraction - NJCTL
Divide. If there is a remainder, write it as a fraction. • Division is splitting into equal parts or groups. It is the result of "fair sharing". Example: there are 12 chocolates, and 3 friends want to share them, how many chocolate will each friend receive? How about a little joke? A mathematician asked his little girl what she was doing in school mathematics at the moment. ”We are doing gozintas at the moment,” she told him. ”Gozintas? “he asked her. “What in earth are they?””You know,” she said, “three gozinta six, five gozinta ten.” • Here’s a video from our EverydayMath explaining the partial quotients method for dividing everydaymath.uchicago.edu/teaching-topics/computation/div-part-quot/
Dividing Practice 287/6 Answer______ 78/4 Answer______ Put these division problems into the “working way” …and don’t forget, if there is a remainder, write it as a fraction… now that’s impressive! Get ready for some division practice homework!
Divide Mentally • Enter the appropriate value to answer the question or solve the problems below. • 25/5= 64/8= 20/5= • 72/9= 56/7= 27/3= • 81/9= 32/4= 49/7= • 45/9= 16/8= 63/9=
Rounding • Let’s try rounding practice with the following number: 61,023,575 To the nearest million ______________ To the nearest hundred thousand __________ To the nearest ten thousand _____________ To the nearest thousand ______________ To the nearest hundred ______________ To the nearest ten __________________ Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place ...
Rounding Continued… • Round these numbers to the nearest hundred But first the rounding rap! http://www.youtube.com/watch?v=3afU6JQG15I 421,702 ____________________ 4,623,383_____________________ 41,791,914_____________________ 378,259,325_____________________ And let’s watch the skill one more time… watch the video closely http://www.mathplayground.com/howto_round.html
Place Value- The value of where the digit is in the number, such as units, tens, hundreds, etc. Example: In 352, the place value of the 5 is "tens” Do you know the value of the digit 3 in 623,795? In the numeral 24,813 what does the 4 stand for? Let’s try… http://studyjams.scholastic.com/studyjams/jams/math/numbers/place-value.htm …and of course, one last time to really get it with this video http://www.youtube.com/watch?v=omkDLmfvetk
Subtract mentally or with a paper and pencil algorithm You probably can do this in your head: 57 - 43 But can you do this one when you have to regroup? 92 - 28 No problem, you can do this with a paper and pencil algorithm… just remember the strategies from slide number 3 and 4.
Writing numbers in words, writing numbers in digits • Can you write twenty million, seventy thousand, eleven using digits? _____________________________ • Can you write, 46, 158, 003 in words? _______________________________ • Do it! Test your friends!
Multiply mentally • http://www.youtube.com/watch?v=RexXVsSTfJg and • www.youtube.com/watch?v=x1Pc_EhCTs0 Solve: 2*5= 7*6= 4*4= 8*4= 4*6= 4*3= 2*8= 7*1= 5*9= 1*6= 7*7= 10*5= 8*9= 9*0= 7*3= 0*12= 6*7= 5*3= 6*8= 8*7=
Multiply. Use a paper-and-pencil algorithm • The basic idea of multiplication is repeated addition. For example: 5 × 3 = 15 and so does 5 + 5 + 5 = 15. (5 is added 3 times.) Therefore, 15 is 3 times as many as 5 or 15 is 5 times as many as 3… get it? • http://www.youtube.com/watch?v=Z3T_NhFlpB0 This video shows someone doing lattice to solve a multiplication algorithm.
Multiply. Use a paper-and-pencil algorithm • This cool site will help with more lattice understanding. • http://www.coolmath4kids.com/times-tables/times-tables-lesson-lattice-multiplication-3.html If you are successful using your own method, then do that! But the point is to pick a method you know well! Now you try it on your slates. 39 * 31 = 52* 63 = 352* 75 =