10.7 Classwork 3: Adding & Subtracting in Scientific Notation

10.7 Classwork 3: Adding & Subtracting in Scientific Notation

Add each expression to match it with its simplified answer in scientific notation.
Remember that the exponents have to be the same in order to add or subtract in scientific notation. If you increase the exponent of one term, then you have to decrease its factor by the same number of decimal places (for example, 3 x 102 becomes 0.3 x 103.) For help, see the 10.7 notes video (youtu.be/VuYNYUBFS2s) and 10.7 classwork video (youtu.be/od7znSqxTbU).

1

(7 x 103) + (4 x 103)

1

(3 x 106) + (7 x 105)

1

(9 x 102) + (8 x 104)

1

(2 x 105) + (7 x 102)

1

(9 x 10-1) + (7 x 10-2)

1

(5 x 10-3) + (3 x 10-1)

1

(6 x 10-2) + (8 x 102)

1

(4 x 10-2) + (1 x 100)

1

(8 x 10-1) + (8 x 103)

1

(9 x 10-2) + (5 x 10-4)

Subtract each expression to match it with its simplified answer in scientific notation.
Remember that the exponents have to be the same in order to add or subtract in scientific notation. If you increase the exponent of one term, then you have to decrease its factor by the same number of decimal places (for example, 5.2 x 10-8 becomes 0.0052 x 10-5. For help, see the 10.7 notes video (youtu.be/VuYNYUBFS2s) and 10.7 classwork video (youtu.be/od7znSqxTbU).

1

(5 x 105) - (1 x 105)

1

(8 x 109) - (2 x 108)

1

(2 x 105) - (8 x 103)

1

(1 x 104) - (3 x 103)

1

(3 x 10-2) - (6 x 10-3)

1

(3 x 10-2) - (8 x 10-4)

1

(2 x 10-8) - (7 x 10-9)

1

(3 x 100) - (3 x 10-1)

1

(8 x 105) - (6 x 102)

1

10.7 Classwork 3: Adding & Subtracting in Scientific Notation

10.7 Classwork 3: Adding & Subtracting in Scientific Notation

(7 x 103) + (4 x 103)

(3 x 106) + (7 x 105)

(9 x 102) + (8 x 104)

(2 x 105) + (7 x 102)

(9 x 10-1) + (7 x 10-2)

(5 x 10-3) + (3 x 10-1)

(6 x 10-2) + (8 x 102)

(4 x 10-2) + (1 x 100)

(8 x 10-1) + (8 x 103)

(9 x 10-2) + (5 x 10-4)

(5 x 105) - (1 x 105)

(8 x 109) - (2 x 108)

(2 x 105) - (8 x 103)

(1 x 104) - (3 x 103)

(3 x 10-2) - (6 x 10-3)

(3 x 10-2) - (8 x 10-4)

(2 x 10-8) - (7 x 10-9)

(3 x 100) - (3 x 10-1)

(8 x 105) - (6 x 102)

(1 x 10-4) - (2 x 10-5)

10.7 Classwork 3: Adding & Subtracting in Scientific Notation

(7 x 103) + (4 x 103)

(3 x 106) + (7 x 105)

(9 x 102) + (8 x 104)

(2 x 105) + (7 x 102)

(9 x 10-1) + (7 x 10-2)

(5 x 10-3) + (3 x 10-1)

(6 x 10-2) + (8 x 102)

(4 x 10-2) + (1 x 100)

(8 x 10-1) + (8 x 103)

(9 x 10-2) + (5 x 10-4)

(5 x 105) - (1 x 105)

(8 x 109) - (2 x 108)

(2 x 105) - (8 x 103)

(1 x 104) - (3 x 103)

(3 x 10-2) - (6 x 10-3)

(3 x 10-2) - (8 x 10-4)

(2 x 10-8) - (7 x 10-9)

(3 x 100) - (3 x 10-1)

(8 x 105) - (6 x 102)

(1 x 10-4) - (2 x 10-5)