powerpoint_powers_of_ten__1_.pptxpowerpoint_powers_of_ten__1_.pptx

powerpoint_powers_of_ten__1_.pptx

1. Made Easy I have a special power. It’s called supernaturally good looks. Areej Ahmed Multiplying Dividing and by Powers of Ten CCSS 5.NBT.A.1 & 5.NBT.A.2

2. Powers of 10 Before we learn how to multiply and divide by Powers of 10 , we need to review place value. Place Value – The value of a digit depending on its place or position in a number. Ricki’s Rocko Taco …now there’s where I place some value! Let’s just focus on numbers for awhile, Sparky!

3. Powers of 10 Can you name all of the place values in the number below? 8, 374, 625 . 7914 ones tens hundreds thousands ten thousands hundred thousands millions tenths hundredths thousandths ten thousandths and 0.1 0.01 0.001 0.0001

4. Powers of 10 . ones tens hundreds thousands tenths hundredths thousandths Notice! As we move to the left on the place value chart, we multiply by 10 to get to each next place. ten thousands ten thousandths And as we move to the right, we divide by 10 to get to each next place. × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10         1 10 100 1,000 10,000

5. Warm Up

6. Powers of 10 In math, a Power of 10 is any integer power of the number ten. In other words, ten multiplied by itself a certain number of times. Example:   × 10 × = 1,000   power or exponent base number Pronounced “ten to the third power”

7. Here are a few powers of 10:   Can anyone see a pattern? If you said that each exponent equals the number of zeros in each product, you’re right! Powers of 10

8. This pattern creates a shortcut when we multiply any whole number by a power of ten! 279 × 100,000 Check out the following multiplication problem: Instead of actually multiplying, we can simply count the number of zeros in 100,000 (which equals ), and add that many zeros to 279.   Powers of 10 Sparky loves that shortcut! 1 2 3 4 5 = 27,9 1 2 3 4 5 00,000

9. 56,000,000 23,300 1) 415 × 1,000 = 5) 10,000 × 77 = 2) 1,000,000 × 56 3) 233 × 100 4) 421 × 10 = 6) 889 × 100,000 415,000 4,210 770,000 Powers of 10 88,900,000 Multiply the following using the Powers of 10 rule. Let’s try some!

10. Powers of 10 The Power of 10 principle creates more shortcuts when we multiply or divide decimals ! You’re going to show us more shortcuts to make this math junk easier? I smell a conspiracy! Yes, I am! Just check this out!

11. Multiplying Decimals Shortcut: Powers of 10 Whenever you multiply a decimal by a power of 10 , simply move the decimal point to the right the same number of places as there are zeros in the power of 10. In other words: -If you multiply by 10, move the decimal 1 place to the right . -If you multiply by 100, move the decimal 2 places to the right . -If you multiply by 1,000 move the decimal 3 places to the right . And so on…

12. Powers of 10 1) 0.813 × 100 = 2) 100,000 × 1.25529 3) 91.17 × 10,000 4) 0.85 × 1,000 = 5) 10 × 546.821 = 6) 1,000,000 × 7.9 81.3 125,529 911,700 850 5,468.21 7,900,000 Multiply the following decimals by simply moving each decimal point. Let’s try some!

13. Powers of 10 Dividing Decimals Shortcut: Whenever you divide a decimal by a power of 10 , simply move the decimal point to the left the same number of places as there are zeros in the power of 10. In other words: -If you divide by 10, move the decimal 1 place to the left . -If you divide by 100, move the decimal 2 places to the left . -If you divide by 1,000 move the decimal 3 places to the left . It’s as simple as counting!

14. Powers of 10 Let’s try some more! Divide the following decimals by simply moving each decimal point. 1) 38.95 ÷ 100 = 2) 401.14 ÷ 10,000 = 3) 93.7 ÷ 10 = 4) 5.1 ÷ 1,000,000 = 5) 682 ÷ 1,000 = 6) 2,393.7 ÷ 100,000 = 0.3895 0.040114 9.37 0.0000051 0.682 0.023937

15. Powers of 10 Absolutely not! There’s a good chance you were dorky long before this lesson! Thank goodness…Wait! What did you just say? Umm….nothing! Just try and remember the following information… Am I dorky for thinking this stuff is kinda cool?

16. Powers of 10 To multiply a whole number by a power of 10, just count and add zeros . To multiply a decimal by a power of 10, just move the decimal point to the right . To divide a decimal by a power of 10, simply move the decimal point to the left . . . If you can count, YOU CAN DO THIS! → ←

17. Powers of 10 Lastly, let’s see how this works with money. Multiply or divide the following money amounts. Round to the nearest penny . 1) $433.68 ÷ 100 = 2) $0.5719 × 1,000 = 3) $1.25 ÷ 10 = 4) $9.2487 × =   5) $2.35 × =   6) $176,829.19 ÷ =   $4.34 $571.90 $0.13 $92,487.00 $235.00 $1.77

18. Powers of 10 Now that I have this Powers of 10 thing down, do you think you could do me another favor? Do you have any special powers on getting rid of little sisters, or making burritos magically appear? I’m afraid I can’t help you there! Then how about one for attracting the ladies? You certainly don’t need help in that area, Sporticus ! I guess you’re right! Hey! Who wants to see a belly wave? Wow! My job here is done! Areej Ahmed