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Word Problems
100

Change 987,000,000,000 to scientific notation.

9.87xx10^11

100

(4xx10^18)+(2.06xx10^17)

4.206xx10^18

100

(3.05xx10^26)-(6.87xx10^24)

2.9813xx10^26

100

(1.6xx10^6)(2.5xx10^8)

4xx10^14

100

(1.302xx10^6)/(6.2xx10^15)

2.1xx10^-10

100

The speed of light is

3xx10^5

. It takes sunlight 6 minutes to reach Venus. How far away is the sun from the Venus in kilometers?

1.08xx10^8 km

200

Change 0.00 000 000 000 000 412 to scientific notation.

4.12xx10^-15

200

(8.2xx10^37)+(4.26xx10^38)

5.08xx10^38

200

(3.13xx10^-15)-(2.7xx10^-16)

2.86xx10^-15

200

(7.5xx10^-4)(2.8xx10^10)

2.1xx10^7

200

(3.63xx10^-4)/(1.1xx10^10)

3.3xx10^-14

200

A speck of dust in an electron microscope is 64 millimeters wide. Its image is

8 ×10^4

 times the actual size. How many millimeters wide is the actual speck of dust?

8xx10^-4 mm

300

Change the following to standard form.

6.623xx10^8

662,300,000

300

(5.46xx10^-21)+(7.29xx10^-23)

5.5329xx10^-21

300

(1.1xx10^-18)-(9.72xx10^-19)

1.28xx10^-19

300

(6xx10^18)(8.9xx10^-22)

5.34xx10^-3

300

(5.775xx10^5)/(7.5xx10^-5)

7.7xx10^9

300

A missile can fly at a speed of Mach 25, or twenty-five times the speed of sound. The speed of sound is approximately

1.234 × 10^3

 kilometers per hour. What is Mach 25 in kilometers per hour? Write your answer in scientific notation.

3.085xx10^4 kph

400

Change to the following number to standard form:

6.42xx10^-9

0.00 000 000 642

400

(8.84xx10^-29)+(9.04xx10^-27)

9.1284xx10^-27

400

(8xx10^-7)(6.25xx10^-13)

5xx10^-19

400

(5.6xx10^-15)/(7xx10^-5)

8xx10^-11

400

The half-life of bismuth is about

1.904 × 10^19

 years. The half-life of thorium is about

1.4 × 10^10

 years. How many times as great is the half-life of bismuth than the half-life of thorium?

1.36xx10^9

500

((8.4xx10^17)(7.6xx10^-15))/((7xx10^-25)(1.2xx10^23))

7.6xx10^4

500

Jupiter’s mass of about

1.938 × 10^27

 kilograms. Saturn’s mass is about

5.7 × 10^26

 kilograms. How many more kilograms is Jupiter than Saturn? How many kilograms are they together?

1.368xx10^27 kg

2.508xx10^27 kg