converting Fractions, Decimals, and percentages Today’s lesson . . . What: converting Fractions, Decimals, and percentages Why: To convert between fractions, decimals, and percentages. How: By actively participating in lesson and practice, and by completing homework. We will answer some key essential questions . . . (next slides)

How are fractions, decimals, and percentages similar?

How do you convert between percentages and decimals?

How do you convert decimals to fractions?

Prior Knowledge/ Vocabulary: A proper FRACTION represents a part out of a larger whole ( 𝟕 𝟏𝟎 means 7 out of 10 ). A PERCENT represents a part out of one-hundred (35% means 35 out of one-hundred). A DECIMAL number also represents the relationship between a whole number and its parts. (3.25 means 3 wholes and 25-hundredths of a whole).

Visual Example: 𝟐 𝟑

On a Number Line: Fraction: Percent: Decimal: 70% 𝟕 𝟐𝟎 0.95

part Fractions, decimals, and percentages ALL represent ______________ of a whole. Because they can all be used to represent the same value, we can CONVERT between them whenever we want to! part

Move decimal point 2 spaces to the __________! Converting Decimals and Percentages: Decimal to Percent: Move decimal point 2 spaces to the __________! Percent to Decimal: right Decimal to % (D to P) Example: 0.125 = 12.5% left % to Decimal (P to D) Example: 5% = 0.05

Practice: DECIMAL PERCENT 1. 35% 2. 0.6 3. 4% 4. 4.8 5. 6.2% 6. .035 Together: DECIMAL PERCENT 1. 35% 2. 0.6 3. 4% 4. 4.8 5. 6.2% 6. .035

0.08 0.9% 4.29 525% 0.565 20% Practice: Your Turn: DECIMAL PERCENT 1. 8% 2. 0.009 3. 429% 4. 5.25 5. 56.5% 6. 0.2 0.08 0.9% 4.29 525% 0.565 20%

BRAIN BREAK!! “Smart Move” Exercise

Use Decimal Language to READ IT, WRITE IT, REDUCE IT! Converting Decimals to Fractions: Use Decimal Language to READ IT, WRITE IT, REDUCE IT! Can you fill-in-the-blanks with the correct place-value names? 1, 1 2 5 . 0 0 0 5 tens ones tenths thousands hundreds hundredths thousandths ten-thousandths Who can say above # in “Decimal Language”?

Practice: 0.04 1. Four- hundredths _________________________________ 2. Three and two-tenths_____________________________ 3.2 3. 0.001_______________________________________________ 4. 45.1________________________________________________ “Zero and one-thousandth” (or “one-thousandth” ) “Forty-five and one-tenth”

Think about decimal language! Read it, Write it, Reduce it! Think about decimal language! Convert the following decimal #’s into fractions. Remember, if you can say the decimal #’s in your head (using decimal language)– you can write the decimal as a fraction! READ IT, WRITE IT, REDUCE IT! PRACTICE: 1) 0.05 2) 0.4 3) 3.02 Since the “5” is in the “hundredths” spot on a place-value chart, we would say this out-loud as . . . “Five-hundredths” This helps us to write the fraction. ANSWER: 𝟓 𝟏𝟎𝟎 or 𝟏 𝟐𝟎 4 10 = 𝟐 𝟓 3 𝟐 𝟏𝟎𝟎 = 3 𝟏 𝟓𝟎

Read it, Write it, Reduce it! Continued: Read it, Write it, Reduce it! 4) 4.03 5) 0.002 6) 0.0035 4 𝟑 𝟏𝟎𝟎 𝟐 𝟏,𝟎𝟎𝟎 = 𝟏 𝟓𝟎𝟎 𝟑𝟓 𝟏𝟎,𝟎𝟎𝟎 = 𝟕 𝟐𝟎𝟎𝟎

BRAIN BREAK!! “Wiggles” Exercise

𝟔 𝟏𝟎 or 𝟑 𝟓 𝟕 𝟏,𝟎𝟎𝟎 60% 0.007 Let’s tie it all together ! Fraction Decimal Percent 1) 0.6 2) 0.7% 𝟔 𝟏𝟎 or 𝟑 𝟓 60% 𝟕 𝟏,𝟎𝟎𝟎 0.007

5 𝟓 𝟏𝟎𝟎 or 5 𝟏 𝟐𝟎 𝟏𝟐 𝟏𝟎𝟎 or 𝟑 𝟐𝟓 0.12 505% We’ve got this! Fraction Decimal Percent 3) 12% 4) 5.05 𝟏𝟐 𝟏𝟎𝟎 or 𝟑 𝟐𝟓 0.12 5 𝟓 𝟏𝟎𝟎 or 5 𝟏 𝟐𝟎 505%

0.004 Your turn… Fraction Decimal Percent 5) 113% 6) 1 𝟏𝟑 𝟏𝟎𝟎 1 𝟏𝟑 𝟏𝟎𝟎 1.13 𝟒 𝟏,𝟎𝟎𝟎 𝒐𝒓 𝟏 𝟐𝟓𝟎 0.4%

Wrap-it-up (Summary) : After today’s lesson, let’s use our notes to answer the essential questions . . . How are fractions, decimals, and percentages similar? They all represent parts of a whole!

Wrap-it-up (Summary) : After today’s lesson, let’s use our notes to answer the essential questions . . . How do you convert between percentages and decimals? Move the decimal point 2 SPACES either to the LEFT OR to the RIGHT!! Use the alphabet to remember which way.

READ it, WRITE it, REDUCE it! Wrap-it-up (Summary) : 3. How do you convert decimals to fractions? READ it, WRITE it, REDUCE it!

END OF LESSON