Vocabulary
Definition: Whole numbers, their opposite and zero
Integers
What is the opposite of -5?
5
-2 + 2 =
0
3 - 8 =
-5
What is the difference between a repeating decimal and a terminating decimal?
A terminating decimal is a decimal that ends with zero and a repeating decimal has values that repeat and go on forever.
Definition: The distance away from 0.
Absolute Value
Trevor spend $27 and now has no money left. What integer represents the amount of money he started with?
$27
(-13) + (-14) =
-27
16 - (-8) =
24
Is 0 a rational number? Explain why or why not.
Yes because 0 is an integer and all integers are examples of rational numbers
Definition: a decimal that ends in a zero.
Terminating Decimal
An elevator goes up 7 floors and down 4 floors. What integer represents the change in the floor level?
3 floors
4 + (-20)
-16
Write an expression that is equivalent to:
1/13 - 12/13
-12/13 + 1/13
1/13 + (-12/13)
Is 0.989898... a rational number?
Yes because it is a repeating decimal and can be written as a fraction (98/99)
The sum of two numbers makes zero.
Opposite Integers & Additive Inverse
Write a situation that describes the opposite of 45.
Climbing down 45 steps.
Owing someone $45.
The temperature drops 45o
A stock decreases 45 points
A team loses 45 points
Deleting 45 contacts from your phone
Someone gets 45 questions wrong on the test
In City A, the temperature rises 7°F from 8 A.M. to 9 A.M. Then the temperature drops 6°F from 9 A.M. to 10 A.M.
Write an addition equation that describes the change in temperature.
7 + (-6) = 1
The floor of an elevator in a building is 30 feet above ground level. It travels down to the lower level of the building, where the floor is 10 feet below ground level. What distance has the elevator’s floor traveled?
traveled 40 feet
What is the decimal equivalence of
1/9
0.111.... (repeating)
Integers, fractions, terminating decimals, and repeating decimals are examples of what kind of number?
Rational Number
From his height of 15 feet above ground level, Brennan descends 4 feet, climbs back up 5 feet and then descends 1 foot. How did Brennan's position change?
His position did not change. He ends back up where he started.
Solve.
-4.5 + 4/5
-3.7
The bottom of a pylon is 3.5 yards below the ground. The top of the pylon is 2.5 yards above the ground. How tall is the pylon?
6 yards
Greg says that
3.bar3
is a rational number. Kari says
3.bar3
is not a terminating decimal.
Who is correct and why?
Both because
3.bar3
is a repeating decimal and repeating decimals are examples of rational numbers.