# 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.

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

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1. copyright©amberpasillas2010 DECIMALS Understanding Division and Dividing With Decimals

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.