Rational Numbers and Decimals. Warm Up Rational Numbers and Decimals.
RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE...
Transcript of RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE...
![Page 1: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/1.jpg)
RATIONAL NUMBERS
NATURAL NUMBERS {1, 2, 3,…} + {0}
= WHOLE NUMBERS {0, 1, 2, 3,…} + NEG. WHOLE NOS.
= INTEGERS {…-2, -1, 0, 1, 2,…} + PURE FRACTIONS
= RATIONAL NUMBERS
A RATIONAL NUMBER is any number that can be written in the form a/b, where a & b are
integers and b ≠ 0. OR a RATIONAL NUMBER is any number that
can be written as a fraction.
![Page 2: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/2.jpg)
RATIONAL NUMBERS
GRAPHING THE NUMBER SETS ON THE NUMBER LINE
NATURAL NUMBERS(or counting numbers)
0 2 4 6-2-4-6
![Page 3: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/3.jpg)
RATIONAL NUMBERS
GRAPHING THE NUMBER SETS ON THE NUMBER LINE
WHOLE NUMBERS
0 2 4 6-2-4-6
![Page 4: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/4.jpg)
RATIONAL NUMBERS
GRAPHING THE NUMBER SETS ON THE NUMBER LINE
INTEGERS
0 2 4 6-2-4-6
![Page 5: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/5.jpg)
RATIONAL NUMBERS
EXAMPLES OF RATIONAL NUMBERS
51
5
- 71
7
01
0
5
2fraction
aalready
0.310
3
3.03
1
![Page 6: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/6.jpg)
RATIONAL NUMBERS
GRAPHING THE NUMBERS ON THE NUMBER LINE
0.5
0 2 4 6-2-4-6
![Page 7: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/7.jpg)
RATIONAL NUMBERS
GRAPHING THE NUMBERS ON THE NUMBER LINE
8/3
0 2 4 6-2-4-6
![Page 8: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/8.jpg)
RATIONAL NUMBERS
GRAPHING THE NUMBERS ON THE NUMBER LINE
–32/5
0 2 4 6-2-4-6
![Page 9: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/9.jpg)
RATIONAL NUMBERS
GRAPHING THE NUMBERS ON THE NUMBER LINE
{-3, -2, 0, 5}
0 2 4 6-2-4-6
![Page 10: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/10.jpg)
RATIONAL NUMBERS
GRAPHING THE NUMBERS ON THE NUMBER LINE
{0, 2, 4, 6,…}
0 2 4 6-2-4-6
![Page 11: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/11.jpg)
RATIONAL NUMBERS
The ABSOLUTE VALUE of any number is its distance from zero on the number line.
The absolute value of 3 is written |3|
0 2 4 6-2-4-6
|3| = 3, because
3 units
![Page 12: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/12.jpg)
RATIONAL NUMBERS
The ABSOLUTE VALUE of any number is its distance from zero on the number line.
0 2 4 6-2-4-6
|-3| = 3, because
3 units
![Page 13: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/13.jpg)
RATIONAL NUMBERS
Evaluate: |-2 + 7| = |5|
Evaluate: 3 + |-4| + |4| = 3 + 4 + 4
Evaluate: x + |x + 4| + 3, if x = -7
= -7 + |-3| + 3 = -7 + 3 + 3 = -1
= 5
= 11
![Page 14: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/14.jpg)
ADDING & SUBTRACTING RATIONAL NUMBERS
ADDINGADDING
Same Signs: Add their absolute values and use their common sign.
6 + (+3) = 9
-6 + (-3) = -9
4 + (+8) = 12
-20 + (-45) = -65
![Page 15: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/15.jpg)
ADDING & SUBTRACTING RATIONAL NUMBERS
ADDINGADDING
Different Signs: Subtract their absolute values and use the sign of
the larger.6 + (-3) = 3
-6 + (+3) =
-3
3 + (-7) = -4
-20 + (+45) =
25
![Page 16: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/16.jpg)
ADDING & SUBTRACTING RATIONAL NUMBERS
SUBTRACTINGSUBTRACTING
The ADDITIVE INVERSE of a number is its opposite.
The additive inverse of 6 is -6
The additive inverse of -3 is 3
The additive inverse of 1/2 is -1/2
The additive inverse of -6.25 is 6.25
![Page 17: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/17.jpg)
ADDING & SUBTRACTING RATIONAL NUMBERS
SUBTRACTINGSUBTRACTING
The ADDITIVE INVERSE of a number is its opposite.
ADDITIVE INVERSE PROPERTYFor every number a, a + (-a) = 0
4 + (-4) = 0
10 + (-10) = 0
![Page 18: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/18.jpg)
ADDING & SUBTRACTING RATIONAL NUMBERS
SUBTRACTINGSUBTRACTING
To subtract signed numbers, add the opposite.
(A.T.O.) and use the rules of addition.6 – (+3) = 6 + (-3) = 3
6 – (-3) = 6 + (+3) =9
-8 – (+2) = -8 + (-2) = -10
-30 – (-50) = -30 + (+50) =
20
![Page 19: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/19.jpg)
REVIEW
5 is a rational number
YES
TRUE OR FALSE
![Page 20: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/20.jpg)
REVIEW
0 is the smallest natural number.
NO, 1 is the smallest
TRUE OR FALSE
![Page 21: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/21.jpg)
REVIEW
-1 is the largest negative integer.
YES
TRUE OR FALSE
![Page 22: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/22.jpg)
REVIEW
Name a rational number that is not
an integer.Any fraction
½, 0.6, 2.3, etc
TRUE OR FALSE
![Page 23: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/23.jpg)
REVIEW
Name a whole number that is not a
natural number.
0
![Page 24: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/24.jpg)
REVIEW
Name a whole number that is not
an integer.
NOT POSSIBLE
![Page 25: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/25.jpg)
ADDING & SUBTRACTING
RATIONAL NUMBERS
![Page 26: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/26.jpg)
FLASH CARDS
8 + (+3)
11
![Page 27: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/27.jpg)
FLASH CARDS
5 + (-3)
2
![Page 28: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/28.jpg)
FLASH CARDS
-7 + (-2)
-9
![Page 29: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/29.jpg)
FLASH CARDS
-5 + (+2)
-3
![Page 30: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/30.jpg)
FLASH CARDS
-7 + (+8)
1
![Page 31: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/31.jpg)
FLASH CARDS
-3 + (-5) + (+2)
-6
![Page 32: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/32.jpg)
FLASH CARDS
7 + (-3) + (-6)
-2
![Page 33: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/33.jpg)
FLASH CARDS
20 + (+30) + (-50)
0
![Page 34: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/34.jpg)
FLASH CARDS
-5 + (-3) + (-2)
-10
![Page 35: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/35.jpg)
FLASH CARDS
2 + (-1) + (8)
9
![Page 36: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/36.jpg)
FLASH CARDS
7 - (+1)
6A.T
.O.
![Page 37: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/37.jpg)
FLASH CARDS
9 - (-1)
10A.T
.O.
![Page 38: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/38.jpg)
FLASH CARDS
-20 - (+10)
-30A.T
.O.
![Page 39: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/39.jpg)
FLASH CARDS
-5 - (-8)
3A.T
.O.
![Page 40: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/40.jpg)
FLASH CARDS
11 - (+8)
3 A.T.O
.??
![Page 41: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/41.jpg)
FLASH CARDS
25 - (-10)
35A.T
.O.
![Page 42: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/42.jpg)
ABSOLUTE VALUES
![Page 43: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/43.jpg)
FLASH CARDS
|-1|
1
![Page 44: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/44.jpg)
FLASH CARDS
|0|
0
![Page 45: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/45.jpg)
FLASH CARDS
|5| + |-2|
7
![Page 46: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/46.jpg)
FLASH CARDS
|-2+(-3)|
5
![Page 47: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/47.jpg)
FLASH CARDS
|2| + |-1| + |8|
11
![Page 48: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/48.jpg)
FLASH CARDS
|2 - 1| + |-1 + 3|
3
![Page 49: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/49.jpg)
FLASH CARDS
|10 - 3| - |-1 - 3|
3
![Page 50: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/50.jpg)
FLASH CARDS
3 + 5xif x = -2
-7
![Page 51: RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.](https://reader036.fdocuments.us/reader036/viewer/2022062300/56649d9e5503460f94a87a39/html5/thumbnails/51.jpg)
FLASH CARDS
x + |-x| - |-x+2|if x = -2
-4