((-10) + 3) + (-12) = (-10) + (3 + ?)
Answers
Step-by-step explanation:
Scientific calculations are frequently handled by expressing quantities in scientific notation. Such operations require simple manipulation of exponents, usually exponents of 10. When the same base is used (e.g. 10), the following rules apply:
When the operation involves multiplication, add the exponents algebrically.
example: 103 x 104 = 10(3 + 4) = 107
example: 105 x 102 x 10-3 = 10(5 + 2 + (-3)) = 104
When the operation involves division, subtract the divisor exponent from the numerator exponent.
example: 105/103 = 10(5 - 3) = 102
example: 107/1012 = 10(7 - 12) = 10-5
example: 108/10-3 = 10(8 - (-3)) = 1011
example: (106 x 104)/(103 x 102) = 10(6 + 4 - (3 + 2)) = 105
When the operation involves powers or roots, multiply the exponent by the power number or divide the exponent by the power number, respectively.
example: (105)3 = 10(5 x 3) = 1015
example: (10-7)4 = 10-(7 x 4) = 10-28
example: = (104)1/2 = 10(4 x 1/2) = 102
example: = (1020)1/5 = 10(20 x 1/5) = 104
Step-by-step explanation:
((-10) + 3) + (-12) = (-10) + (3 + ?)
→ ((-10) + 3) + (-12) = (-10) + (3 + (-12))
Using associative property