Question

express the following in standard form 0.00009298

Answer 1

Given:

0.00009298

We have to express the standard form of 0.00009298 is:

solution:

∴ 0.00009298

Multiplying and dividing by 100000, we get

=  $\dfrac{0.00009298}{100000}$ × 100000

= $\dfrac{9.298}{100000}$

= $\dfrac{9.298}{10^5}$

= 9.298 × $10^{-5}$ [ ∵ $\dfrac{1}{a^m}$ = $a^{-m}$]

∴ The standard form of 0.00009298 = 9.298 × $10^{-5}$

Thus, the standard form of 0.00009298 is "9.298 × $10^{-5}$".

Answer 2

Step-by-step explanation:

0.00009298

We have to express the standard form of 0.00009298 is:

solution:

∴ 0.00009298

Multiplying and dividing by 100000, we get

= \dfrac{0.00009298}{100000}

100000

0.00009298

× 100000

= \dfrac{9.298}{100000}

100000

9.298

= \dfrac{9.298}{10^5}

10

5

9.298

= 9.298 × 10^{-5}10

−5

[ ∵ \dfrac{1}{a^m}

a

m

1

= a^{-m}a

−m

]

∴ The standard form of 0.00009298 = 9.298 × 10^{-5}10

−5

Thus, the standard form of 0.00009298 is "9.298 × 10^{-5}10

−5

".