6th Grade Math Textbook, Fundamentals

 &KDSWHU

1-1

Positive 1200 and negative 1200 are opposites.

The oppositeof positive 7 is negative7. Write: (7) or  7

The oppositeof negative5 is positive 5. Write: (5) or 5

The oppositeof 0 is 0. Zero is its own opposite. Write: 0

Positive integers are

commonly written

without the positive sign.

Integers and Absolute Value

Objective To identify integers • To identify opposites • To find the absolute value of an integer

Judy climbed the Rock of Gibraltar to an elevation
of 1200 feet above sea level. The maximum depth
of the Strait of Gibraltar is more than 1200 feet
below sea level.

You can write these numbers as integers.

 are whole numbers and their

opposites. They are positive, negative,

or zero. The set of integers can be written

as{..., 4, 3, 2, 1, 0, 1, 2, 3, 4,.. .},

where “.. .” means that the numbers go

on indefinitely.

The set of integers contains:

the set of counting numbers, {1, 2, 3, 4,...}.

the set of whole numbers, {0, 1, 2, 3, 4,...}.

the set of oppositesof whole numbers,

{..., 4, 3, 2, 1, 0}.

• For sea level, or the starting point, use 0.
  sea level 0


• For elevations above sea level, or numbers
  greater than 0, use a positiveinteger.
  1200 feet abovesea level 1200 or 1200


• For elevations below sea level, or numbers
  less than 0, use a negativeinteger.
  1200 feet belowsea level  1200

The of an integer is the integer that is the same distance from 0

on a number line but is located on the opposite side of 0. To graphan

integer on a number line, draw a dot to locate the point on the number

line that corresponds to the integer.

opposite

Integers

1200

0 ft sea level

 1200

,QWHJHUV

2SSRVLWHV

RI:KROH1XPEHUV

« 

&RXQWLQJ1XPEHUV

«

:KROH1XPEHUV

are less than 0.

Negative integers Zero is neither

positive nor negative. are greater than 0.

Positive integers

 5  4  3  2  1012345

opposites