Chemistry 10
Arithmetic with scientific notation
Perform the following operations using the numbers in scientific notation, and make sure to
write the answer in correct scientific notation. You can use your calculator for the operations
with the first factor, but do not use the calculator to do the whole operation in scientific
notation. Do these problems in your notebook, not on this sheet of paper!
Addition and subtraction:
1) 3.97x104 + 2.69 x104
2) 8.54 x1013 - 1.46 x1013
3) 2.98 x10-5 + 4.87 x10-5
4) 5.87 x10-8 - 4.67 x10-8
5) 9.90 x10-8 + 8.94 x10-9
6) 1.04 x106 - 9.99 x105
7) 12.4 x102 + 5.98 x103
8) 345 x104 - 3.45 x106
Multiplication (*) and division (/):
1) 5.00 x104 * 2.00 x104
2) 4.40 x105 / 2.00 x105
3) 4.87 x108 * 3.21 x102
4) 5.67 x109 / 7.90 x103
5) 8.52 x106 * 7.34 x10-5
6) 3.98 x10-4 / 2.54 x10-2
7) 6.20 x107 * 5.00 x10-8
8) 4.20 x104 / 2.00 x10-3
Mixed problems:
1) (2.50 x103 + 2.50 x103) * 2.00 x10-7
2) (4.50 x103 * 3.00 x103) + 5 x107
3) (1.40 x104 * 2.00 x102) / (4.4 x106 / 3.00 x106)
Predict without using a calculator the exponent for the following operations and whether the
result will be positive or negative:
1) 3.00 x104 * 2.00 x103 =
2) 8.40 x108 / 2.00 x104
=
3) 6.44 x10-6 / 2.00 x104
=
4) 1.56 x1013 + 1.56 x10-13 =
5) 4.78 x10-20 – 4.78 x1020 =