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Hi! My name’s Sparky!. Fractions, decimals, and percents are different ways of representing the same number. These numbers look different, but they all.

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Presentation on theme: "Hi! My name’s Sparky!. Fractions, decimals, and percents are different ways of representing the same number. These numbers look different, but they all."— Presentation transcript:

1 Hi! My name’s Sparky!

2 Fractions, decimals, and percents are different ways of representing the same number. These numbers look different, but they all have the exact same value.

3 Because we use fractions, decimals, and percents in everyday life, it’s helpful if we can juggle or change between each form… …making these numbers easier to understand. I understand that ¼ pound of cheesy bacon burger is good! I don’t understand how I got a 25% on my last math test.

4 When do we use Cooking/Recipes Measuring Length Telling time (a quarter after four) Reading Music

5 When do we use Sports 0.375 – baseball batting average Prices Gas Quantities 18.8959 gal Pi3.141592…

6 When do we use Grades25% Thanks for reminding me! Retail Sales 60% off! Tipping Rates 15% to 20% Statistics 100% of students choose shorter school days!

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8 or Proper fractions, like this one, represent numbers less than 1.

9 Decimals are related to fractions because they also represent numbers less than 1. If you said to divide the numerator by the denominator, you’re right! But how does that give you a decimal?

10 3.04 -2 8 2 0 0.075 -20 0 Hint: you can think of a fraction bar like a division (÷) symbol.

11 If you said 3.75, you’re right! Notice how the whole number stays the same in both forms. I think I get it, but can we do one more to be sure?

12 Remember! The whole number will stay the same, so we just need to divide 2 by 3. 2.03 0.6 -1 8 0 20 6 -18 2 0 0 At this point, you can see the division problem will never end, and the 6 will keep repeating. I’m still iffy!

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15 Why does this number haunt me?

16 Let’s change 0.62 to a percent! 100 100 × 0.62 200 200 + 600 + 600 62.00 = 62 Don’t forget the percent sign! 62%

17 Someone told me that when you multiply by 100, it’s just like moving the decimal point 2 places to the right! Moving the decimal seems waaaaay easier to me! Got it!

18 0.45 = 45% → 45.0 0.7 Before we can move the decimal 2 places to the right, we have to add a zero. Example 1 : Example 2 : 0 → 70.0 = 70%

19 00 Example 3 : 1.25 → 125.0 = 125% Example 4 : 2 Add two zeros so we can move the decimal! → 200.0 = 200% I’m pretty sure I have this!

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21 I’m getting dizzy!

22 If we move the decimal 2 places to the right to change a decimal to a percent, what do you suppose we do to change a percent back to a decimal? Move the decimal 2 places to the left? It runs in the family!

23 % % Example 1 : 85 Locate the “understood” decimal after the 5 and remove the percent sign. % →.85 = 0.85 Example 2 : 30 →.30 = 0.3 Example 3 : 115 = 1.15

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25 Head…going…to…explode!

26 Before we start changing decimals into fractions, we need a good understanding of how to properly say decimals. Believe it or not, when you properly say a decimal, you are automatically creating the fraction. I’ll believe it when I see it… or hear it!

27 (Sample number) Can you name the following decimal place values? Now let’s try to properly “say” some decimals?

28 Practice saying the following decimals to yourself:

29 As you say each decimal, think about the fraction you’re saying to yourself:

30 Simplify. I get it! But I better do some more practice.

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32 I believe I have this stuff covered, sir! Who wants to see a belly roll? © Created by Mike Walker


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