FBISE, NCP & NBF-aligned resources for Classes 9–12
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Math Domain A.1 : Topic 2
Express a number in scientific notations and vice versa.
1 / 20
Which of the following is the correct scientific notation of 450000?
Reasoning: In scientific notation, the coefficient must be between $1$ and $10$.
$450000=4.5\times10^5$
2 / 20
Convert $6.2\times10^3$ into standard form.
Reasoning: Move the decimal point $3$ places to the right.
$6.2\times10^3=6200$
3 / 20
Which number is written in correct scientific notation?
Reasoning: The coefficient in scientific notation must satisfy:
$1\le \text{coefficient}<10$
Only $3.2\times10^3$ satisfies this condition.
4 / 20
Convert $0.00056$ into scientific notation.
Reasoning: Move the decimal point $4$ places to the right.
$0.00056=5.6\times10^{-4}$
5 / 20
Which is equal to $9.1\times10^{-2}$?
Reasoning: Move the decimal point $2$ places to the left.
$9.1\times10^{-2}=0.091$
6 / 20
The number 7,000,000 in scientific notation is:
Reasoning: There are $6$ places after moving the decimal.
$7000000=7\times10^6$
7 / 20
Which is NOT in proper scientific notation?
Reasoning: The coefficient must be less than $10$.
$12.5>10$
8 / 20
Convert $3.5\times10^4$ into standard form.
$3.5\times10^4=35000$
9 / 20
Which number is larger?
Reasoning: Compare powers of $10$.
$10^6>10^5>10^4>10^3$
Therefore $1\times10^6$ is greatest.
10 / 20
Convert $0.000009$ into scientific notation.
Reasoning: Move the decimal point $6$ places to the right.
$0.000009=9\times10^{-6}$
11 / 20
Which is equivalent to $0.0032$ in scientific notation?
$0.0032=3.2\times10^{-3}$
12 / 20
What is the power of $10$ in $0.00012$ in scientific notation?
Reasoning:
$0.00012=1.2\times10^{-4}$
13 / 20
Which number is correctly expressed in scientific notation?
Reasoning: The coefficient must satisfy
Only $5.0$ satisfies this condition.
14 / 20
Convert $8.9\times10^{-1}$ into decimal form.
Reasoning: Move the decimal point $1$ place to the left.
$8.9\times10^{-1}=0.89$
15 / 20
Which is the smallest number?
$3\times10^2=300$
$2\times10^3=2000$
$5\times10^1=50$
$1\times10^4=10000$
Smallest is $50$.
16 / 20
Convert 1200000 into scientific notation.
$1200000=1.2\times10^6$
17 / 20
Which represents a very small number?
Reasoning: Negative powers of $10$ represent very small numbers.
18 / 20
Convert $0.25$ into scientific notation.
Reasoning: Move the decimal point $1$ place to the right.
$0.25=2.5\times10^{-1}$
19 / 20
Which is correct for 50000?
$50000=5\times10^4$
20 / 20
A number in scientific notation has coefficient $0.9$. What is wrong?
Reasoning: In scientific notation:
Since $0.9<1$, it is not valid scientific notation.
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