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Answer :
When the two number has different power but the base is same, then to multiply them add their power keeping the base same.
The product of the given number is 36.9 × 10⁴, in scientific notation.
Thus the option 3 is the correct option.
We have,
To write the big number in short form, we write them in the positive power of 10.
To write the very small number, we write them in the negative power of 10.
How to multiply number with different power?
When the two number has different power but the base is same, then to multiply them add their power keeping the base same.
Given information-
The given number whose product has to find out are 8.2 × 10⁹ and 4.5 × 10⁻⁵
Let x be the product of the given number.
Suppose the product of two number is x.
Thus, x = (8.2 × 10⁹) × (4.5 × 10⁻⁵)
As the base is same for 10 but power is different. Thus add the power to multiply them,
(8.2 × 10⁹) × (4.5 × 10⁻⁵)
= (8.2 × 4.5) × (10⁹ × 10⁻⁵)
= 36.9 × 10⁴
Therefore, the product of 8.2 × 10⁹ and 4.5 × 10⁻⁵ in scientific notation is 36.9 × 10⁴.
Hence the product of the given number is 36.9 × 10⁴. Thus the option 3 is the correct option.
Learn more about the exponent power with base 10 here;
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Rewritten by : Barada
The product of 8.2 × 10⁹ and 4.5 × 10⁻⁵ is 3.69 × 10⁵.
The correct answer is C) 3.69 × 10⁵.
Given that;
8.2 × 10⁹ multiply by 4.5 × 10⁻⁵
To find the product of 8.2 × 10⁹ and 4.5 × 10⁻⁵, we multiply the coefficients and add the exponents.
8.2 × 10⁹ multiply by 4.5 × 10⁻⁵
First, we multiply the coefficients:
8.2 × 4.5 = 36.9
Next, add the exponents:
10⁹ ⁺ ⁻⁵ = 10⁹ ⁻ ⁵ = 10⁴
Now, we combine the coefficient and the exponent:
= 36.9 × 10⁴
Move the decimal point backward by 1 place and increase the exponent by 1:
= 3.69 × 10⁵
Therefore, the product of the numbers is 3.69 × 10⁵.
Option C) 3.69 × 10⁵ is the correct answer.
