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Round each measurement to three significant figures. Write your answers in scientific notation.

a. 8758.073 meters

b. 435,200,000

c. 0.001552 meter

d. 0.009009 meters

e. 177,888 meters

f. 629.55 meters

1 Answer

4 votes

Answer: a. 8.76*10^3 meters

b. 4.35*10^8 meters

c. 1.55*10^(-3) meters

d. 9.01*10^(-3) meters

e. 1.78*10^5 meters

f. 6.30*10^2 meters

Step-by-step explanation:

a. 8758.073 meters=

8000+758.073=

8*1000+758.073/1000 *1000=

8*10^3+0.758073*10^3=

(8+0.758073)*10^3=

8.758073*10^3=

8.758073*10^3=8.76*10^3 meters

b. 435,200,000=

400,000,000+35,200,000=

4*100,000,000+35,200,000/100,000,000 *100,000,000=

4*10^8+0.352*10^8=

4.352*10^8=

4.352*10^8=4.35*10^8 meters

c. 0.001552 meter=

1.552/1000 =

1.552 * 1/1000=1.55*10^(-3) meters

d. 0.009009 meters=

9.009/1000=

9.009*10^(-3)=9.01*10^(-3) meters

e. 177,888 meters=

100,000+77,888=

1*100,000+77,888/100,000 *100,000=

1*10^5+0.77888*10^5=

1.77888*10^5=1.78*10^5 meters

f. 629.55 meters=

6000+29.55=

6*100+29.55/100 *100=

6*10^2+0.2955*10^2=

6.2955*10^2=6.30*10^2 meters

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