Question

1.)The area of Greenland is 840,000 square mile. What is this number in Scientific notation?
C.) 8.4x10^5

2) What answer represents this number in Scientific notation? 0.00000916
B.) 9.16×10^-6

3.) What is this number in Stander form? 5.75×10^9
A.) 5,750,000,000

4.) What is this in Stander form? 6.8×10^-4
D.) 0.00068

5.) C.) 520,000,000
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Answer 1

Answer :

(1) The correct answer is, $8.4\times 10^5$

(2) The correct answer is, $9.16\times 10^{-6}$

(3) The correct answer is, 5750000000

(4) The correct answer is, 0.00068

Step-by-step explanation :

Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example :

5000 is written as $5.0\times 10^3$

889.9 is written as $8.899\times 10^{-2}$

In this examples, 5000 and 889.9 are written in the standard notation and $5.0\times 10^3$  and $8.899\times 10^{-2}$  are written in the scientific notation.

If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.

(1) As we are given the 840,000 in standard notation.

Now converting this into scientific notation, we get:

$\Rightarrow 840,000=8.4\times 10^5$

As, the decimal point is shifting to left side, thus the power of 10 is positive.

Hence, the correct answer is, $8.4\times 10^5$

(2) As we are given the 0.00000916 in standard notation.

Now converting this into scientific notation, we get:

$\Rightarrow 0.00000916=9.16\times 10^{-6}$

As, the decimal point is shifting to right side, thus the power of 10 is negative.

Hence, the correct answer is, $9.16\times 10^{-6}$

(3) As we are given the $5.75\times 10^9$ in scientific notation.

Now converting this into standard notation, we get:

$\Rightarrow 5.75\times 10^{9}=5750000000$

As, the power of 10 is positive, thus  the decimal point is shifting to right side.

Hence, the correct answer is, 5750000000

(4) As we are given the $6.8\times 10^{-4}$ in scientific notation.

Now converting this into standard notation, we get:

$\Rightarrow 6.8\times 10^{-4}=0.00068$

As, the power of 10 is negative, thus  the decimal point is shifting to left side.

Hence, the correct answer is, 0.00068