Question

Express the following number 0.00009 298 in standard form

Answer 1

Answer:

9.298×10^-5

Step-by-step explanation:

0.00009298/100000×100000

=9.298/100000

=9.298/10^-5

Therefore, ( 1/a^m=a^-m )

Answer 2

The standard form of 0.00009298 = 9.298 × 10⁻⁵

Given :

The number 0.00009298

To find :

To express in standard form

Solution :

Step 1 of 2 :

Write down the given number

The given number is 0.00009298

Step 2 of 2 :

Express in standard form

$\displaystyle \sf{0.00009298 }$

$\displaystyle \sf{ = \frac{9298}{100000000} }$

$\displaystyle \sf{ = \frac{9298}{ {10}^{8} } }$

$\displaystyle \sf{ = 9298 \times {10}^{ - 8} }$

$\displaystyle \sf{ = 9.298 \times {10}^{3} \times {10}^{ - 8} }$

$\displaystyle \sf{ = 9.298 \times {10}^{3 - 8} }$

$\displaystyle \sf{ = 9.298 \times {10}^{ - 5} }$

Hence standard form is given by

0.00009298 = 9.298 × 10⁻⁵