Question

(iv) 1.08 x 107
12. Write the following numbers in the form k x 10" where 1 sk< 10
(ii) 2500000​

Answer 1

Answer:

0.00729

=7.29× 10-3

Step-by-step explanation:

power 7) ÷ (5× 10 raise to the power 3)

To find : Express in k × 10 raise to the power n ( 1 < k < 10)

Solution:

\frac{1.25 \times 10^7}{5 \times 10^3}

5×10

3

1.25×10

7

= \frac{1.25 \times 10^{(4+3)}}{5 \times 10^3}

5×10

3

1.25×10

(4+3)

using nᵃ⁺ᵇ = nᵃ × nᵇ

= \frac{1.25 \times 10^4 \times 10^3}{5 \times 10^3}

5×10

3

1.25×10

4

×10

3

= \frac{1.25 \times 10^4 }{5 }

5

1.25×10

4

= \frac{1.25 \times 10^3 \times 10 }{5 }

5

1.25×10

3

×10

= 1.25 x 10³ * 2

= 5 * 10³

\frac{1.25 \times 10^7}{5 \times 10^3}

5×10

3

1.25×10

7

= 5 * 10