Express the following number in scientific notation. 0.01520 = 1.520 x 10-2 1.52 x 10-2 0.1520 x 10-1 1.520 x 10-3

Express the following number in scientific notation. 0.01520 = 1.520 x 10-2 1.52 x 10-2 0.1520 x 10-1 1.520 x 10-3

Answers

The number in scientific notation 0.01520 is 1.520✖️10^-2 because in order to convert the number to scientific we will move the decimal point tw digits towards right.

Explanation:

Hope it will help 😀

1- 1.25 x 10^-3
2- 2 x 10^9
3- 7.96 x 10^5
4,677,000 in scientific notation is 4.677 ×10^{6}
6.75 * 10 ^ -7

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6.75 x 10* (Exponent = -7)
7X10^-8, 7x10^8, 7x10^-4

(A) 2.7*10^-8, (B)3.56*10^2, (C)4.78*10^4 (D) 9.6*10^-2

Explanation:

Scientific notation is a system that allows you to express very large or very small numbers by multiplying them by multiples of 10 with positive or negative exponents

4.6 x 10^7

Step-by-step explanation:

a) 2.7times 10^{-7}

b) 3.56times 10^3

c) 4.7764times 10^5

d) 9.6times 10^{-1}

Step-by-step explanation:

Scientific notation is a way of writing a very large or very small numbers in a small notation.

In this, we write a number as the product of a number between 1 to 10 and the exponent of 10.

For this we shift the decimal ( if decimal shifted right the exponent of 10 is negative and if the decimal is shifted left the exponent of 10 is positive. )

Since, a^m.a^n=a^{m+n}

Hence,

a) The scientific notation of 0.000000027 × 10 is 2.7times 10^{-7}

b) The scientific notation of 356 × 10 is 3.56times 10^3

c) The scientific notation of 47,764 × 10 is 4.7764times 10^5

d) The scientific notation of 0.096 × 10 is 9.6times 10^{-1}

Answer :

(a) The number in scientific notation is, 6.0200times 10^4L

(b) The number in scientific notation is, 4.520times 10^3J

(c) The number in scientific notation is, 6.00times 10^{-3}mg

(d) The number in scientific notation is, 1.023times 10^{-2}km

(e) The number in scientific notation is, 8.070times 10^1mL

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 5.0times 10^3

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

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

8.89times 10^{-2}  this is written in the scientific notation and the standard notation of this number will be, 0.00889.

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.

(a) As we are given the 60200 L in standard notation.

Now converting this into scientific notation, we get:

Rightarrow 60200L=6.0200times 10^4L

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

Hence, the correct answer is, 6.0200times 10^4L

(b) As we are given the 4520 J in standard notation.

Now converting this into scientific notation, we get:

Rightarrow 4520J=4.520times 10^3J

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

Hence, the correct answer is, 4.520times 10^3J

(c) As we are given the 0.00600 mg in standard notation.

Now converting this into scientific notation, we get:

Rightarrow 0.00600mg=6.00times 10^{-3}mg

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

Hence, the correct answer is, 6.00times 10^{-3}mg

(d) As we are given the 0.01023 km in standard notation.

Now converting this into scientific notation, we get:

Rightarrow 0.01023km=1.023times 10^{-2}km

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

Hence, the correct answer is, 1.023times 10^{-2}km

(e) As we are given the 80.70 mL in standard notation.

Now converting this into scientific notation, we get:

Rightarrow 80.70mL=8.070times 10^1mL

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

Hence, the correct answer is, 8.070times 10^1mL

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