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?​

Answer 1

Required Answer:-

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)

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

Hence, the value of 2k + n is 15.25

Answer:

• 2k + n = 15.25

Answer 2

The value of (2k + n) is 52.5.

Given:-

Value 1 = 1.7 × 10⁴

Value 2 = 12.5 × 10⁶

Standard form = k × 10ⁿ

To Find:-

The value of (2k + n).

Solution:-

We can easily find out the value of (2k + n) by following these simple steps.

As

Value 1 = 1.7 × 10⁴

Value 2 = 12.5 × 10⁶

Standard form = k × 10ⁿ

Firstly, Product of Value 1 and 2,

$p = v1 \times v2$

$p = (1.7 \times {10}^{4}) \times (12.5 \times {10}^{6} )$

$p = 1.7 \times 12.5 \times {10}^{(4 + 6)}$

$p = 1.7 \times 12.5 \times {10}^{10}$

$p = 21.25 \times {10}^{10}$

product = 21.25 × 10¹⁰

Standard equation = k × 10ⁿ

On comparing both the equation, we get

k = 21.25 and n = 10

Now, the value of (2k + n)

$v = (2k + n)$

$v = (2 \times 21.25) + 10$

$v = 42.5 + 10$

$v = 52.5$

Hence, The value of (2k + n) is 52.5.

#SPJ2