7.NS.1.a
#11 a
NOTES
HONORS MATH 7 – “Integers, Additive Inverse and Absolute Value”
CONTENT OBJECTIVE:
Students will be able to
1)
_______ and ________ integers,
2)
________ absolute value and additive inverse of integers.
LANGUAGE OBJECTIVE:
Students will be able to
1) ________ examples of numbers that are integers,
2) _________ numerical expressions for word phrases.
Why Am I Learning This?
This is important for many “real world” problems, like…______________________________________.
Integers – The set of positive whole numbers, negative whole numbers, and zero.
--------------------------------------------------------------------------------------------------------------------------------------Write an integer for the following word phrases.
Write an integer that represents the net result.
1) A gain of 5 yards
2) A loss of 20 gallons
3) A deposit of $342
4) A penalty of 20 points
5) A profit of $38
6) A withdrawal of $12
7) 2 hours before lunch
8) 30 ° above zero
A gain of 5 yards, followed by a loss of 5 yards
A deposit of $342, followed by a withdrawal of $342
30° below zero compared to 30° above zero
2 hours before lunch compared to 2 hours after lunch
Opposites – numbers on __________ sides of zero.
Examples:
Additive Inverse – Two numbers with a _______ of zero.
*Opposite numbers are additive inverses!
Examples:
Absolute Value – The distance a given number is from _________ on the number line.
Simplify.
9) 3 =
11) 11 =
13) −19 =
10) −4 =
12) −8 =
14) 0 =
The absolute value will always be POSITIVE (unless there is a negative before the absolute value).
15) −12 =
16) 27 =
17) − −6 =
18) − 53 =
19) The absolute value of negative 72 is?
--------------------------------------------------------------------------------------------------------------------------------------Use < , > , or = to compare.
20) 3
25) −4
___ !−3
___ − 2
___
−8
21) −9
___ 9
26) 6
22) !−6
___ 6
27) − −3
23) !−5
___ !−2
28) −8
___ − −8
24) −7
___
29) 5
___ !−5
7
___ −2
--------------------------------------------------------------------------------------------------------------------------------------Simplifying expressions with absolute value.
30) 9 − 11 − 7
What were the objectives today?
31) 23 − 9 − 27 − 14
Homework: Worksheet #11a