5.1 Rational Numbers

Change 5/8 to a Decimal and Hand back TESTS! Answer: 7/8 Page 46 of your INB i-can find the slope of this line. Change 5/8 to a Decimal and 0.3434…to a Fraction.

4 Make a plan to get in the zone! the “ZONE” Plot your test score. Make a plan to improve. If you’re not in the zone, make a plan to get there. If you are in the zone, make a plan to stay there. 4

ITEMS of BUSINESS Rework is due NEXT CLASS PERIOD – Dec 2 or 3. This is a homework assignment. I do not accept late rework for credit. Make plans to retake the test if you need to. - Practice Test completed - REWORK completed - 3x5 card made - schedule a time to retake * Last day to retake will be DEC 9th.

Have your homework out on your desk.

RE- 1.0 Show your work. Hey You. Try this CHALLENGE question: Round 21 22 decimal expansion to the tenth place. Show your work. 1.0 0.9545…look at 5 in the hundredth place. It causes 9 to bump up 10, which makes 1.0

i-can Get into your 4-Square Groups Page 46-47 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction. MEMORIZE  Page 46-47 of your INB

A landmark is a recognizable natural or man-made feature used for navigation. Landmarks help you know where you are.

Benchmark Fractions are like Landmarks If you know where is 1 2 Then you can picture where 0.475 & 0.528 are 1 2 1 2 near 0.475 0.528 0.5 1

Benchmark Fractions MEMORIZE!! 0.25 0.5 0.75 0. 3 0. 6 0.125 0.375 1) 1 4 = _____ 2) 1 2 = _____ 3) 3 4 = _____ 4) 1 3 = _____ 5) 2 3 = _____ 6) 1 8 = _____ 7) 3 8 = _____ 8) 5 8 = _____ 9) 7 8 = _____ 0.25 0.5 0.75 0. 3 0. 6 0.125 0.375 0.625 0.875 1 8 1 4 1 3 3 8 1 2 5 8 3 4 7 8 2 3

REVERSE IT! 3 4 0.75 3 4 75 100 0.75 3 ÷ 4 Fractions Decimals Page 47 of your INB 3 4 0.75 3 ÷ 4 REVERSE IT! Fractions Decimals 3 4 75 100 0.75

Decimal Place Review  What decimal place is this? 0.3 0.34 = 34 100 = 3 10 = 17 50 tenth hundredth 0.347 5.347 = 347 1000 = 5347 1000 thousandth thousandth

Fractions Decimals Page 47 of your INB 1 5 2 10 0.2

Try it!

What if you have a repeating decimal? Fractions Decimals 0.555… What if you have a repeating decimal? ? 5 10 ??? 555 1000 ??? 55 100 ??? 0.555… We can use the POWER OF TEN TECHNIQUE (next slide)

Converting Repeating Decimals to Fractions 0.555… 0.2121… 10x = 5.555… Page 47 of your INB 10x = 5.555… - x = -0.555… 9x = 5 x = 5 9 0.555… Assign: x = 0.555… 0.2121… 100x = 21.2121… - x = -0.2121… 99x = 21 x = 21 99 Assign: x = 0.2121… 7 33 𝑅𝑒𝑑𝑢𝑐𝑒 𝑡𝑜 𝐿𝑜𝑤𝑒𝑠𝑡 𝑇𝑒𝑟𝑚𝑠

Converting Repeating Decimals to Fractions 1.6555 … 100x = 165.555… Page 47 of your INB 100x = 165.555… -10x = -16.555… 90x = 149 x = 149 90 1.6555 … Assign: x = 1.6555…

Homework Problem # 42 You Try it! 0.444…

Homework Problem # 43 You Try it! 0.1222…

Rational Number What is that? A Rational Number is a number that Rational numbers include all numbers that can be written in the form 𝑎 𝑏 , where 𝑎 and 𝑏 are both integers and 𝑏≠0. A Rational Number is a number that can be written as a FRACTION 𝑎 𝑏

−6 5 4 5 0.3 4 1 2 Are these numbers Rational? (Can they be written as a Fraction?) Thumbs Up Rational −6 5 4 5 0.3 4 1 2 Thumbs down Not Rational

Types of RATIONAL Decimals TERMINATING DECIMALS REPEATING DECIMALS -1.222… 0.758574 0.888… 3. 35 0.264 0. 4 -6.15 0.5 4.123123…

RATIONAL NUMBERS All numbers that can be written in the form 𝑎 𝑏 . Examples: 3 5 5 1 10 7 Decimals that terminate or repeat. Examples: 0.356 and 0.555…

i-can change 5/8 to a Decimal and 0.3434…to a Fraction. Page 46 of your INB 5/8 = 0.625 Assign: x = 0.3434… 100x = 34.3434… - x = 0.3434… 99x = 34 x = 34 99

Worksheet 5.1 Rational Numbers  SHOW YOUR WORK