The product of 1.7 x 10^4 and 12.5 x 10^6 is expressed in the standard form as k x 10^n. The value of (2k + n) is?
Answers
⇨ 1.7 × 10⁴ × 12.5 × 10^6
⇨21.25 × 10^10
⇨2.125 × 10^11
As it's in Standard Form,
★2.125 × 10^11 = k × 10ⁿ
Comparing both sides we get,
★ k = 2.125 & n = 11
So the value of 2k + n = 2 × 2.125 + 11
= 4.25 + 11
= 15.25
Hence, the value of 2k + n = 15.25
QuestioN :
The product of 1.7 x 10^4 and 12.5 x 10^6 is expressed in the standard form as k x 10^n. The value of (2k + n) is?
GiveN :
The product of 1.7 x 10⁴ and 12.5 × 10⁶ is expressed in the standard form as k × 10ⁿ.
To FiNd :
The value of (2k + n)
ANswer :
2k + n = 15.25
SolutioN :
To solve this, let's find out the product of the given numbers and express them in standard form.
1.7 × 10⁴ × 12.5 × 10⁶
=21.25 × 10¹⁰
= 2.125 × 10¹¹
As it is in standard form,
>> 2.125 × 10¹¹ = k × 10ⁿ
Comparing both sides, we get,
>> k = 2.125 and n = 11
So, the value of 2k + n will be,
= 2 × 2.125 + 11
= 4.25 + 11
= 15.25