Decimals: Rounding & Multiplying Review

Decimals: Rounding & Multiplying Review
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An overview of rounding and multiplying decimals, covering the basics and helping to refresh your skills. Copyright Amber Pasillas.

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1. copyright©amberpasillas2010 DECIMALS Rounding Decimals Review and Multiplying Decimals

2. copyright©amberpasillas2010 ___ , ___ ___ ___ ___ ___ ___ ___ Thousands Hundreds Tens Ones Ten ths Hundred ths Thousand ths Ten Thousand ths 5 1 8 2 1 R e a d a s 5 1 8 a n d 2 1 h u n d r e d t h s Decimals are read as “ and ” Rounding Review

3. copyright©amberpasillas2010 F i n d t h e n u m b e r . C i r c l e i t . L o o k n e x t d o o r . 4 o r l e s s j u s t i g n o r e . 5 o r m o r e a d d o n e m o r e . E x a m p l e : R o u n d 5 3 6 8 t o n e a r e s t h u n d r e d s . C i r c l e t h e 3 i n t h e h u n d r e d s p l a c e . L o o k n e x t d o o r a t t h e 6 . I t i s 5 o r m o r e s o a d d 1 m o r e t o t h e h u n d r e d s p l a c e . 5 3 6 8 r o u n d s t o 5 4 0 0 Rounding Review

4. copyright©amberpasillas2010 R o u n d t o t h e n e a r e s t t e n t h s 2.876 2.9 R o u n d t o t h e n e a r e s t h u n d r e d t h s 31.6999 31.70 Rounding Review

5. copyright©amberpasillas2010 R o u n d t o t h e n e a r e s t t e n t h s 3.478 3.5 R o u n d t o t h e n e a r e s t h u n d r e d t h s 22.5972 22.60 Rounding Review

6. copyright©amberpasillas2010 Steps for Multiplying Decimals Step 1: Write the problem vertically. Step 2: Ignore the decimal point(s) and multiply. Step 3: Determine where the decimal point goes in the product. Place the decimal point in the answer by counting how many places the decimal point has moved. Multiplying Decimals

7. copyright©amberpasillas2010 Multiply 3 x 0.14 0.14 3 x 0.14 = 0 . 4 2 Multiplying Decimals

8. copyright©amberpasillas2010 Multiply 3 x 0.14 2 Step 1: Write the problem vertically 0.14 x 3 Step 2: Ignore the decimal points and multiply Step 3: Determine where the decimal point goes in the product. The decimal moves two places to the left 1 4 0 0.42 Multiplying Decimals

9. copyright©amberpasillas2010 Multiply 5 x 0.18 0.18 5 x 0.18 = 0 . 9 0 Multiplying Decimals

10. copyright©amberpasillas2010 Multiply 5 x 0.18 0 Step 1: Write the problem vertically 0.18 x 5 Step 2: Ignore the decimal points and multiply Step 3: Determine where the decimal point goes in the product. The decimal moves two places to the left 4 9 0 0.90 Multiplying Decimals

11. copyright©amberpasillas2010 Multiply 0.2 x 0.6 0.2 0.6 = 0.2 Multiplying Decimals

12. copyright©amberpasillas2010 Multiply 0.2 x 0.6 0.2 0.6 = 0.2 x 0.6 Multiplying Decimals

13. copyright©amberpasillas2010 Multiply 0.2 x 0.6 0.2 0.6 = 0.2 x 0.6 = 0 . 1 2 Multiplying Decimals

14. copyright©amberpasillas2010 Multiply 0.2 x 0.6 2 Step 1: Write the problem vertically 0.2 x 0.6 Step 2: Ignore the decimal points and multiply Step 3: Determine where the decimal point goes in the product. The decimal moves two places to the left 1 0 0. 12 Multiplying Decimals

15. copyright©amberpasillas2010 Multiply 0.4 x 0.7 0.4 0.7 = 0.4 Multiplying Decimals

16. copyright©amberpasillas2010 Multiply 0.4 x 0.7 0.4 0.7 = 0.4 x 0.7 Multiplying Decimals

17. copyright©amberpasillas2010 Multiply 0.4 x 0.7 0.4 0.7 = 0.28 Multiplying Decimals

18. copyright©amberpasillas2010 Multiply 0.4 x 0.7 8 Step 1: Write the problem vertically 0.4 x 0.7 Step 2: Ignore the decimal points and multiply Step 3: Determine where the decimal point goes in the product. The decimal moves two places to the left 2 0 0. 28 Multiplying Decimals

19. copyright©amberpasillas2010 Multiplying Decimals 200 x . 25 0 + 5000 0 0 0 1 0 0 4 Move the decimal two places to the left in your answer. .

20. copyright©amberpasillas2010 Multiplying Decimals HOW MANY DECIMAL PLACES? 1 decimal place 3.1 2) (0.4)(2.53) 0.4  2.53 1) 3.1(0.28) 1.012  0.28 2 decimal places 0.868 1 + 2 = 3 decimal places 1 decimal place 2 decimal places 1 + 2 = 3 decimal places

21. copyright©amberpasillas2010 Multiplying Decimals 1) 0.16 x 30 0 0 0 0 8 4 0 8 4 1 2) 70 x 1.2 0 4 1 0 0 7 0 4 8 + 3) 1 0.0048 x 32 6 9 0 0 4 4 6 3 5 1 1 1 2 0 0 1 0

22. copyright©amberpasillas2010 Evaluate The Power An exponent tells how many times a number is multiplied by itself. 3 4 Base Exponent 3 is written as 3 • 3 • 3 • 3 = 81 4 This exponent is read three to the fourth power .

23. copyright©amberpasillas2010 Evaluate The Power Evaluate (0.2) 2 4 This means (0.2)(0.2) 0.2 x 0.2 The decimal goes moves two places to the left 0 0 0. 04

24. copyright©amberpasillas2010 Calculate Area With Decimals 4 in. 0.58 in. Area = base x height Multiply 4 x 0.58 2 0.58 x 4 The decimal moves two places to the left. 3 3 2 2.32 in 2 2 Area is square units!

25. copyright©amberpasillas2010 THE END!!! Take out your study guide

26. copyright©amberpasillas2010 Multiply 0.4 x 0.14 6 Step 1 : Write the problem vertically 0.14 x 0.4 Step 2: Ignore the decimal points and multiply Step 3: Determine where the decimal point goes in the product. The decimal moves 3 places to the left. 1 5 0 0 . 056 Multiplying Decimals #5 0

27. copyright©amberpasillas2010 Evaluate The Power Evaluate (0.5) 2 5 This means (0.5)(0.5) 0.5 x 0.5 The decimal moves two places to the left . 2 0 0. 25 #6 2

28. copyright©amberpasillas2010 2 in. 0.98 in Area = base x height # 7 Multiply 2 x 0.98 6 0.98 x 2 The decimal moves two places to the left. 1 9 1 1.96 in 2 1 Area is square units! The Area ( A ) is the number of square units needed to cover a figure.