Lesson 2 Rational Numbers Repeating Decimals to Fractions

Lesson 2: Rational Numbers – Repeating Decimals to Fractions Real Numbers Unit

$Remember this? �Remember when we convert decimals to fractions we use the LAST place$

Remember this? �Remember when we convert decimals to fractions we use the LAST place value to tell us what denominator to use. 0. 45 = Hundredths Tenths Don’t forget to SIMPLIFY!!!

$Repeating Decimals to Fractions/Mixed Numbers �How do we convert REPEATING decimals to fractions or$

Repeating Decimals to Fractions/Mixed Numbers �How do we convert REPEATING decimals to fractions or mixed numbers? Watch HERE to find out!

$Lets try one together!! Copy into your journal! �Write 0. 5 as a fraction$

Lets try one together!! Copy into your journal! �Write 0. 5 as a fraction 1 2 Assign a variable to the value 0. 5 N=0. 55555… 2) Multiply each side by 10 10(N)=10(0. 55555…) = 10 N=5. 5555…. 3) Subtract N=0. 5555… 10 N=5. 5555…. 9 N=5 - N=0. 55555… 9 =9 9 N=5 N= 1) 3 4

$You Try One! �Write 0. 4 as a reduced fraction$

You Try One! �Write 0. 4 as a reduced fraction

What if MORE than one digit repeats? �How do we convert decimals with more than one repeating digit into a fraction or mixed number? Watch HERE to find out!

Lets try one together!! Copy into your journal! �Write 2. 18 1) 2) as a fraction 1 Since TWO digits repeat, multiply each side by 100(N)=100(2. 1818182 = 100 N=218. 181818 Assign a variable to the value 2. 18 N=2. 181818 Subtract N=2. 181818 100 N=218. 181818 - N= 2. 181818 99 N= 216 3 99 N= 216 99 99 N= 4 ÷ = =

$You Try One! �Write 0. 42 as a reduced fraction$

You Try One! �Write 0. 42 as a reduced fraction

Work it out! a -0. 45 b 2. 7 c 5. 55

Before you go! �Go to Kahoot. it �The game pin will be given after I log in **Your practice work for this evening is also available in Google Classroom.