Comparing Numbers Using Scientific Notation

Q. Scientific notation can be written in the general form as $a\times {10}^n$, where $n$ is an integer. Find the range of $a$.

1. $1\le a<5$
2. $1<a<10$
3. $1<a\le 10$
4. $1\le a<10$

Q. The mass of an electron is $9.1\times {10}^{-31}$ kg while the mass of a proton is $1.67\times {10}^{-27}$ kg. Which among the proton and electron has the larger mass?

1. Proton
2. Electron
3. Both have the same mass
4. Cannot be determined

Q. Which is the correct relation for the numbers $3.28\times {10}^7$ and $4.59\times {10}^5,$ written in scientific notation?

1. $4.59\times {10}^5>3.28\times {10}^7$
2. $4.59\times {10}^5<3.28\times {10}^7$
3. $4.59\times {10}^5=3.28\times {10}^7$
4. Cannot be determined

Q. Arrange the following numbers in an ascending order:
$3.65\times {10}^{-7},$
$5.78\times {10}^{-6},$
$2.39\times {10}^{-9},$ and
$8.16\times {10}^{-6}$

1. $3.65\times {10}^{-7}$
   $5.78\times {10}^{-6}$
   $2.39\times {10}^{-9}$
   $8.16\times {10}^{-6}$
2. $2.39\times {10}^{-9}$
   $3.65\times {10}^{-7}$
   $8.16\times {10}^{-6}$
   $5.78\times {10}^{-6}$
3. $2.39\times {10}^{-9}$
   $3.65\times {10}^{-7}$
   $5.78\times {10}^{-6}$
   $8.16\times {10}^{-6}$
4. $3.65\times {10}^{-7}$
   $2.39\times {10}^{-9}$
   $5.78\times {10}^{-6}$
   $8.16\times {10}^{-6}$

Q. Which sign in the options can replace $‘‘?"$ to make the following statement true?
$5.6\times {10}^4?5,600$

1. $<$
2. $>$
3. $=$
4. Cannot be compared