Terminating & Repeating Decimals
Provide an example of a terminating and repeating decimal.
Terminating: 0.46, 1.222, 4.5
Repeating: 0.444... 1.24242...
Evaluate: -1.55 - 0.9
-2.45
Evaluate: ⅓ +(-⅖)
-¹⁄₁₅
Katie's math average decreased 19 points from a 95. Then she completed an extra credit assignment and raised her final average by 7 points. What was her final average?
95 - 19 = 76
76 + 7 = 83
Select all that are positive:
a) -5 + 10
b) 5 + (-10)
c) -5 - 10
d) -10 - 0
e) -5 - (-10)
a & e
Terminating: Stops
Repeating: Repeats in a pattern
Evaluate: -45.24 + (-1.3)
-46.54
Evaluate: -³⁄₁₀ - ⅕
*Simplify!*
-½
One out of six students said they have a dog at home. What is the decimal equvialent?
0.16666...
Which of the following situations could the opposite of -8 be represented by?
a) An airplane descends 8 feet
b) You make $8
c) You lose 8 points on your test
d) You owe your friend $8
b) You make $8
True or False? 0.41553512... is a rational number because it repeats
False - it is irrational because it is not repeating in a pattern
Evaluate: 68 - (-0.66)
68.66
Evaluate: -4 ½ + (-¼)
¹⁷⁄₄ or 4 ¼
Christian had a debt of $34. He earned $70 doing chores, but then paid $28 for food. What is Christian's balance?
-$34 + $70 = $36
$36 - $28 = $8
-127
Which of the following is not a rational number?
a) 0.86
b) 1/3
c) 4.562425...
d) 0.555...
c is irrational because it does not repeat in a pattern. Any fraction or decimal that terminates or repeats is rational.
Evaluate: -87.535 + (-0.2)
-87.735
Evaluate: -3 ⅔ - (-⅙)
*Simplify!*
-⁷⁄₂
Evaluate: 21.75 + 5 ½ - 12
21.75 + 5 ½ = 27.25
27.25 - 12 = 15.25
Rewrite using an addition sentence:
-⅓ - (-⅝)
-⅓ + ⅝
Seven out of nine students say they prefer soccer over any other sport. What is the decimal equivalent?
0.777...
Evaluate: 6.72 + (-12.5)
-5.78
Evaluate: -2 ¼ + (-1 ⅖)
-⁹⁹⁄₂₀
Sam's coffee pot is ⅞ full. After drinking some, it is now ⅙ full. How much coffee did Sam drink?
¹⁷⁄₂₄
Evaluate: -28 - 14
-42