Vocabulary
the definition of BASE
the number that is being multiplied to itself
103 x 10 7
1010
57 x 56
513
write 6,980,000 in scientific notation
6.98 x 106
Write 12.3 x 101 in standard notation.
123
the definition of EXPONENT
number that tells how many times the base is multiplied by itself
69 / 66
63
130
1
write 75,400 in scientific notation
7.54 x 104
Write 0.309 x 108 in standard notation.
30,900,000
the multiplication rule states
keep the bases, add the exponents
730
(2 x 3)4
24 x 34
write .00000098 in scientific notation
9.8 x 10-7
Write 3 x 10-9 in standard notation.
0.000000003 (Should have eight zeros)
the division rule states
80
1
13-7
1/137
write 1,850,000 in scientific notation
1.85 x 106
Write 13.487 x 100 in standard notation.
13.487
the power of a power rule means
5-8
1/58
52 x 58 / 56
54
write .000634 in scientific
6.34 x 104
Write 0.00453 x 10-13 in standard notation.
0.000000000000000453 (Should have 15 zeros after the decimal)