Scientific Notation
Is the following expression written in scientific notation? If not, explain why:
3.25 + 10-7
No, 3.25 should be multiplied by 10-7
Solve:
(3.7 x 109) + (9.04 x 109)
1.274 x 1010
Solve:
(7 x 105) – (5.2 x 104)
6.48 x 105
Solve:
(4 x 10-5) • (5 x 1012)
2x108
Solve:
(5.3 x 106) ÷ (4.2 x 104)
1.26 x 102
Is the following expression written in scientific notation? If not, explain why:
13 x 10-2
No, because to be written in scientific notation, the coefficient needs to have only one non-zero digit to the left of the decimal.
It should be 1.3 x 10-1
Solve:
(4.5 x 104) + (1.75 x 104)
6.25 x 104
Solve:
(2 x 104) – (4 x 102)
1.96 x 104
Solve:
(6 x 103) • (2 x 105)
1.2 x 109
Solve:
(9 x 108) ÷ (2 x 102)
4.5 x 106
The size of the Sahara desert is about 3.629x106 square miles and the Arabian desert is about 9x105 square miles. Which desert is larger? Explain how you know.
The Sahara, because it has a larger exponent.
Solve:
(5.4 x 103) + (1.2 x 105)
1.254 x 105
Solve:
(2.005 x 105) – (8.664 x 102)
1.996336 x 105
Solve:
(5.1 x 104) • (2.5 x 103)
1.275 x 108
Solve
(3.66 x 10-5) ÷ (2 x 10-3)
1.83 x 10-2
The size of four oceans in square km is shown below. List the oceans from smallest to largest.
Pacific Ocean: 1.796 x 108
Arctic Ocean: 1.323 x 107
Atlantic Ocean: 1.061 x 108
Indian Ocean: 7.498 x 107
Arctic, Indian, Atlantic, Pacific