Which numbers below are INTEGERS?
-8, 2.5, 0, 1/2, 5
-8, 0, 5
INTEGERS are whole numbers (positive and negative) and zero.
Write 4 x 4 x 4 in EXPONENTIAL FORM.
43 OR 4^3
EXPONENTIAL FORM shows the base and the exponent. The ^ symbol is called the caret symbol. The caret symbol indicates that the number after it is an exponent.
SIMPLIFY:
2 + 4 x 5
2 + 4 x 5
2 + 20
22
What are the first five MULTIPLES of 8?
8, 16, 24, 32, 40
*These are just the first five! Remember, a number has INFINITE multiples!
Which is an EQUIVALENT FRACTION of 3/4?
A) 6/9
B) 9/12
C) 5/8
B) 9/12
Because...3/4 x 3/3 = 9/12
What is the OPPOSITE of 6?
-6
OPPOSITES have the same ABSOLUTE VALUE but different signs.
Write 45 in EXPANDED FORM.
4 x 4 x 4 x 4 x 4
EXPANDED FORM shows the repeated multiplication.
SIMPLIFY:
(2 + 3)2 - 5 x 2
(2 + 3)2 - 5 x 2
52 - 5 x 2
25 - 5 x 2
25 - 10
15
1, 2, 3, 4, 6, 8, 12, 24
*Remember, FACTORS divide evenly into the number.
Are the fractions EQUIVALENT?
4/5 AND 12/15
YES! Their CROSS PRODUCTS both equal 60!
4 x 15 = 60
5 x 12 = 60
What is the ABSOLUTE VALUE of 10?
10
ABSOLUTE VALUE is always positive (or zero)! ABSOLUTE VALUE is the DISTANCE from zero on the number line. Distance is always positive!
Which is correct?
A) 34 = 12
B) 34 = 81
C) 34 = 7
34 = 81
NEVER multiply the base by the exponent! Always use the repeated multiplication to evaluate exponential expressions.
34 = 3 x 3 x 3 x 3 = 81
SIMPLIFY:
8 / 23 - 9 / 32
8 / 23 - 9 / 32
8 / 8 - 9 / 9
8 / 8 - 9 / 9
1 - 9 / 9
1 - 1
0
Which is a COMMON MULTIPLE of 3 and 5?
A) 12
B) 20
C) 30
C) 30 is a COMMON MULTIPLE OF 3 AND 5!
BUT...It's NOT the LEAST COMMON MULTIPLE (LCM)!
LCM = 15
Order the fractions from LEAST TO GREATEST:
2/3, 3/7, 1/2
3/7, 1/2, 2/3
Compare: 8 ___ -12
8 > -12
POSITIVE numbers are always bigger than NEGATIVE numbers.
EVALUATE 5^2.
5^2 = 52 = 5 x 5 = 25
EVALUATE:
2x + y, x = 4 and y = 3
2x + y, x = 4 and y = 3
2(4) + 3
8 + 3
11
MULTIPLES OF 5: 5, 10, 15, 20, 25, 30, 35, ...
MULTIPLES OF 6: 6, 12, 18, 24, 30, 36, ...
LCM = 30
2/3 + 5/8 = ?
31/24
OR
1 and 7/24
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Compare: -10 _____ -20
-10 > -20
The more negative a number is, the SMALLER it is!
COMPARE: 53 _____ 35
53 = 5 x 5 x 5 = 125
35 = 3 x 3 x 3 x 3 x 3 = 243
53 < 35
EVALUATE:
x2 - 3yz, x = 5, y = 2 and z = 3
x2 - 3yz, x = 5, y = 2 and z = 3
52 - 3(2)(3)
25 - 3(2)(3)
25 - 6(3)
25 - 18
7
What is the GCF of 40 and 48?
FACTORS OF 40: 1, 2, 4, 5, 8, 10, 20, 40
FACTORS OF 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCF = 8
3/5 x 5/6 = ?
1/2
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