1 Marks Question

Question 11 Mark

Express the number $3 \times$ $10^{-5}$ in the usual form.

Answer

$3 \times 10^{-5} = \frac{3}{10^{5}}=\frac{3}{100000} = 0.00003$

Question 21 Mark

Express the number $7.54 \times 10^{-4}$ in the usual form.

Answer

$7.54 \times 10^{-4}= \frac{7.54}{10^{4}}=\frac{7.54}{10000} = 0.000754$

Question 31 Mark

Express the number $4050000$ in standard form.

Answer

$4050000 = 4.05 \times 10^6$

Question 41 Mark

Express the number $0.000035$ in standard form.

Answer

$0.000035 = 3.5 \times 10^{-5}$

Question 51 Mark

Find the value of $(\frac{2}{3})^{-2}$

Answer

$(\frac{2}{3})^{-2}$ = $\frac{2^{-2}}{3^{-2}}=\frac{3^{2}}{2^{2}}=\frac{9}{4}$

Question 61 Mark

Simplify the exponential form: $(-3)^{4} \times\left(\frac{5}{3}\right)^{4}$

Answer

$(-3)^{4} \times\left(\frac{5}{3}\right)^{4}= (-3 \times \frac 53)^4= (-5)^4= 625$

Question 71 Mark

Find the value of $\frac{1}{3^{-2}}$.

Answer

$\frac{1}{3^{-2}}=3^{2}$ = $3\times3=9$

Question 81 Mark

Find the value of $2^{-3}$.

Answer

$2^{-3}=\frac{1}{2^{3}}=\frac{1}{8}$

Question 91 Mark

Express the number 3.52 $\times$ 10⁵ in the usual form.

Answer

We have, 3.52 $\times$ 10⁵
= 3.52 $\times$ 100000
= 352000

MATHS 1 Marks Question