Normal Form to Standard Form

Q.

The Distance between Earth and Moon is $384000000\text{m}$. Express it in standard form.

Q. Express 0.0000987 in standard form.

1. $98.7\times {10}^6$
2. $98.7\times {10}^{-6}$
3. $9.87\times {10}^5$
4. $9.87\times {10}^{-5}$

Q.

Write the following in standard form :

(i) $23470000$

Q.

Express the following numbers in standard form :

(vi) $59087.8$

Q. If $2^x+3^y=17,2^{x+2}-3^{y+1}=5$ then value of $x$ and $y$ is

1. $x=3,y=2$
2. $x=2,y=9$
3. $x=9,y=2$
4. $x=2,y=3$

Q.

Express the following numbers in standard form :

(ii) $459500$

Q. Speed of a jet is 130000 m/s. In the standard form, we write it as $1.3\times {10}^a$ m/s. The value of a is .

1. 4
2. 5
3. 6
4. -6

Q.

Express the number appearing in the following statements in standard form :

(i) Diameter of the Earth is $12756000m$.

Q.

Write the following in standard form :

(iii) $64000000$

Q.

Fill in the blanks:

$12345=...................$

Q. Find the value of $x-y^{x-y}$ when $x=2$ and $y=-2$.

1. $18$
2. $-18$
3. $14$
4. $-14$

Q. Simplify $3^0\times 4^2\times 5^{-2}$

Q. Solve $1=2^{\left(2n+m\right)}$

Q.

The standard form of $...............\text{is}2.123\times {10}^3$

Q. Solve $(-2-4m{)}^2-8(3+2m)=0$.

Q. Solve $x^{1/3}+\frac{5}{2x^{1/3}}=3\frac{1}{4}$

1. $-8$ or $-\frac{125}{64}$
2. $8$ or $\frac{125}{64}$
3. $-8$ or $\frac{125}{64}$
4. $8$ or $-\frac{125}{64}$