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 the expression (3.7 x 109) + (6.04 x 109)
9.74 x 109
Solve the expression (7 x 105) - (5.2 x 105)
1.8 x 105
Solve the expression (4 x 10-5)(2 x 1012)
8 x 107
Solve the expression (6 x 1016) / (2 x 104)
3 x 1012
The size of the Sahara desert is about 3.629 x 106 square miles and the Arabian desert is about 9 x 105 square miles. Which desert is larger? Explain how you know.
Sahara because the exponent is larger.
Solve (4.5 x 104)+(1.75 x 104)
6.25 x 104
Solve (8.2 x 1024) - (4 x 1024)
4.2 x 1024
Solve (6 x 1013)(2 x 1015)
1.2 x 1029
Solve (9 x 1018) / (2 x 102)
4.5 x 1016
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
Solve (5.4 x 103)+(1.2 x 105)
1.254 x 105
Solve (2.05 x 105) - (8.6 x 104)
1.19 x 105
Solve (5.1 x 10-14)(2 x 103)
1.02 x 10-10
Solve (3.6 x 10-5) / (4 x 10-3)
9 x 10-1
Write this number in scientific notation 93,010,000
9.301 x 107
The population of the United States is 3.1 x 108 and the population of Canada is 3.38 x 107 . What is the total population?
3.438 x 108 people
The population of the United States is 3.1 x 108 and the population of Canada is 3.38 x 107 . How many more people live in the United States than in Canada?
2.762 x 108 more people
(1.25 x 1020)(4 x 1010)
5 x 1030
Evaluate (5.6 x 1028) / (7 x 1016)
8 x 1011
Write this number in scientific notation 0.000 000 302
3.2 x 10-7
(3.2 x 10-12) + (3.2 x 10-12)+ (2.8 x 10-12)
9.2 x 10-12
(5.2 x 104) - (1.5 x 103) - (2.6 x 104)
2.45 x 104
Light travels at a speed of 1.86 x 105 miles per second. It takes light from the Sun about 4.8 x 103 seconds to reach Saturn. Find the approximate distance from the Sun to Saturn.
8.928 x 108 miles
The population of Crowded Town is 4 × 106 and the population of Empty Village is 8 × 103. How many times the population of Empty Village is Crowded Town?
5 x 102 times