# Understanding Division with Decimals: Tips and Visual Aids  Clear and concise tips for dividing with decimals, emphasizing the importance of focus and practice, and including visual aids for better comprehension.

• Uploaded on | 4 Views
• eeliselo

## About Understanding Division with Decimals: Tips and Visual Aids

PowerPoint presentation about 'Understanding Division with Decimals: Tips and Visual Aids'. This presentation describes the topic on Clear and concise tips for dividing with decimals, emphasizing the importance of focus and practice, and including visual aids for better comprehension.. The key topics included in this slideshow are . Download this presentation absolutely free.

## Presentation Transcript

2. copyright©amberpasillas2010 • Remove all other thoughts from your mind. • Pay close attention. • Try all the examples. • Ignore all other distractions. For Learning To Happen:

3. copyright©amberpasillas2010 This flat represents 1 whole . or 100 squares. This rod represents 1/10 or 10 squares. This block represents 1/100 or 1 square . Understanding Division

4. copyright©amberpasillas2010 1.0 1 whole 0.1 0.01 1 tenth 1 hundredth Understanding Division

5. copyright©amberpasillas2010 How many rods fit into a flat? Flat 10 Understanding Division

6. copyright©amberpasillas2010 How many blocks fit into a flat? 100 Flat Understanding Division

7. copyright©amberpasillas2010 How many blocks fit into a rod? rod 10 Understanding Division

8. copyright©amberpasillas2010 What does 36 ÷ 4 really mean? How many 4’s does it take to make 36. Or how many 4’s fit into 36? Understanding Division 9

9. copyright©amberpasillas2010 What does 50 ÷ 5 really mean? How many 5’s does it take to make 50. Or how many 5’s fit into 50? Understanding Division 10

10. copyright©amberpasillas2010 What does 1.2 ÷ 0.1 mean? How many one tenths does it take to make 1 whole and 2 tenths ? Understanding Division

11. copyright©amberpasillas2010 What does 1.2 ÷ 0.1 mean? How many 0.1’s fit to make 1.2? 10 1 1 The answer is 12 How many rods are there? Understanding Division H o w m a n y o n e t e n t h s f i t t o m a k e 1 . 2 ?

12. copyright©amberpasillas2010 What does 1.2 ÷ 0.1 mean? LOOK FOR A PATTERN: 1.2 ÷ 0.1 If we multiply both sides by 10 We get the problem 1 2 ÷ 0 1 Understanding Division BOTH DIVISION PROBLEMS GIVE YOU THE SAME ANSWER!

13. copyright©amberpasillas2010 What does 1.02 ÷ 0.1 mean? How many one tenths does it take to make 1 whole and 2 hundreds ? Understanding Division

14. copyright©amberpasillas2010 What does 1.02 ÷ 0.1 mean? How many 0.1’s fit to make 1.02? The answer is 10.2 It takes ten full rods and two-tenths of another 10 .1 .1 How many rods fit into 1.02? Understanding Division H o w m a n y o n e t e n t h s f i t t o m a k e 1 . 0 2 ?

15. copyright©amberpasillas2010 What does 1.02 ÷ 0.01 mean? How many one hundredths does it take to make 1 whole and 2 hundreds ? Understanding Division

16. copyright©amberpasillas2010 What does 1.02 ÷ 0.01 mean? How many 0.01’s fit to make 1.02? The answer is 102 100 1 1 How many blocks are there? Understanding Division H o w m a n y o n e h u n d r e d t h s f i t t o m a k e 1 . 0 2 ?

17. copyright©amberpasillas2010 What does 1.02 ÷ 0.01 mean? N o t i c e t h e a n s w e r i s t h e S A M E f o r b o t h p r o b l e m s ! LOOK FOR A PATTERN: 1.02 ÷ 0.01 If we multiply both sides by 100 Then we get the problem 102 ÷ 01 Understanding Division x 100 100 x = 102 = 102 So to make decimal problems easier multiply your decimals by powers of 10 to work with whole numbers instead of decimals.

18. copyright©amberpasillas2010 24  2 = 12 There are many ways to write a division problem. There are two symbols  , / 24 / 2 = 12 Dividing With Decimals

19. copyright©amberpasillas2010 There are 2 types of division problems involving decimal points: 1.) NO decimal in the divisor 2.) YES Decimal in the divisor Divisor Dividend Divide 0.32  8 Divide 0.32  0.8 Dividing With Decimals

20. copyright©amberpasillas2010 TRICK FOR LONG DIVISION D ead M onkeys S mell B ad U L T I P L Y I V I D E U B T R A C T R I N G D O W N D affodils M ake S pring B eautiful D ad M om S ister B rother Dividing With Decimals

21. copyright©amberpasillas2010 Divide 0.27  3 0.27 0.27  3 = 0.09 Dividing With Decimals

22. copyright©amberpasillas2010 Divide 0.27  3 3 0 . 27 . 0 0 0 2 7 9 27 0 Divisor Dividend Step 2: Move the decimal point in the dividend straight up into the quotient Step 3: Divide as usual Step 1: Write the problem in the long division format TRICK: D ead M onkeys S mell B ad ! Dividing With Decimals

23. copyright©amberpasillas2010 Divide 0.14  2 0.14 0.14  2 = 0.07 Dividing With Decimals

24. copyright©amberpasillas2010 LOOK FOR A PATTERN When dividing a decimal by a decimal, multiply both numbers by a power of 10 so you can divide by a whole number. To decide which power of 10 to multiply by, look at the denominator. The number of decimal places represents the number of zeros after the 1 in the power of 10 . 13.2 4 = 1.32 0.4 = 1.32 0.4 1 decimal place 1 zero 10 10 Dividing With Decimals

25. copyright©amberpasillas2010 Divide 0.352 ÷ 0.22 0 . 2 2 h a s t w o d e c i m a l p l a c e s s o m u l t i p l y b o t h n u m b e r s b y 1 0 0 t o m a k e t h e d i v i s o r a w h o l e n u m b e r . 0 . 22 ) 0 . 352 22 ) 35 . 2 Then divide as usual. 1  22 3 2 .6 2 0 Dividing With Decimals 1 1 1 3

26. copyright©amberpasillas2010 Dividend  Divisor Divide 0.75  0.15 S t e p 2 : M o v e t h e d e c i m a l p o i n t i n t h e d i v i s o r t o t h e f a r r i g h t o f t h e d i v i s o r S t e p 5 : D i v i d e a s u s u a l S t e p 1 : W r i t e t h e p r o b l e m i n t h e t r a d i t i o n a l l o n g d i v i s i o n 015 0 75 . 0 0 0 7 5 5 75 0 S t e p 3 : M o v e t h e d e c i m a l p o i n t t h e S A M E n u m b e r o f p l a c e s i n t h e d i v i d e n d S t e p 4 : M o v e t h e d e c i m a l p o i n t i n t h e d i v i d e n d s t r a i g h t u p i n t o t h e q u o t i e n t . . Dividing With Decimals

27. copyright©amberpasillas2010 Divide 0.45 ÷ 0.25 0 . 2 5 h a s t w o d e c i m a l p l a c e s s o m u l t i p l y b o t h n u m b e r s b y 1 0 0 t o m a k e t h e d i v i s o r a w h o l e n u m b e r . 0 . 25 ) 0 . 45 25 ) 45 Then divide as usual. 1  25 0 8 – 2 0 0 0 Dividing With Decimals 2 0 0

28. copyright©amberpasillas2010 THE END!!! T h a t ’ s A l l F o l k s ! T a k e o u t y o u r S t u d y G u i d e !

29. copyright©amberpasillas2010 NO decimal point in the divisor. Divide 0.27  3 3 0. 27 . 0 0 0 2 7 9 27 0 #8 Divisor Dividend Step 2: Move the decimal point in the dividend straight up. Step 3: Divide as usual Step 1: Write the problem as long division. TRICK: D ead M onkeys S mell B ad !

30. copyright©amberpasillas2010 Divide Decimals Step 2: Make the divisor a whole number by moving the decimal point to the far right Step 5: Divide Step 1: Write as long division Divide 0.42  0.6 0 6 0 4 2 . 0 0 0 4 2 7 42 0 Step 3: Inside the dividend move the decimal point the SAME NUMBER of places Step 4: Move the decimal point from the dividend straight up . . . . #9 D i v i d e n d  D i v i s o r Yes, decimal point in the divisor.