Tag: maths

Questions Related to maths

Expanded form of $920,831$

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $90000 + 20000 + 800 + 1$

  2. $9200 + 800 + 31$

  3. $90000 + 20000 + 800 + 30 + 1$

  4. $900000 + 20000 + 800 + 30 + 1$

Show answer
Correct Option: D
Explanation:

Expanded form of 920,831

= 900000+20000+800+30+1

If $n$ is an integer, which of the following must be an even integer?

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $n+1$

  2. $n+2$

  3. $2n$

  4. $2n+1$

  5. $\displaystyle { n }^{ 2 }$

Show answer
Correct Option: C
Explanation:

$\Rightarrow$  The number which is multiple of $2$ is called an even number.

$\Rightarrow$  It is given that $n$ is an integer.
$\Rightarrow$  So, $2n$ will be an even number.

The  expanded form of $999$ is

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $1000 - 3$

  2. $1005 - 6$

  3. $1000 \times 1 -1$

  4. None of the above

Show answer
Correct Option: D
Explanation:

$999 = 100 \times 9 + 9\times10+9$

The expanded form of $99$ is

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $97+2$

  2. $100-1$

  3. $10 \times 9+9$

  4. None of the above

Show answer
Correct Option: C
Explanation:

$99 = 10 \times 9 + 9$

The expanded form of $72$ is

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $10 \times 7+2$

  2. $71+1$

  3. $73-1$

  4. None of the above

Show answer
Correct Option: A
Explanation:

$72 = 10 \times 7 + 2$

The general form of $11$ is

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $10 \times 0+11$

  2. $10 \times 2+1$

  3. $10 \times 1 + 1$

  4. None of the above

Show answer
Correct Option: C
Explanation:

$11 = 10 \times 1 + 1$


So, option C is correct

The  expanded form of $101$ is

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $100+1$

  2. $99+1$

  3. $100 \times 1 +1$

  4. None of the above

Show answer
Correct Option: C
Explanation:

The expanded form of:
$abc = a\times 100 + b\times 10+ c\times 1$

Here, for $101$
$101 = 100 \times 1 + 0\times 10 + 1\times 1= 1\times100 + 1$

Express the number into general form: $753$

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $7 \times 10 + 5 \times 100 + 3$

  2. $7 \times 100 + 5 \times 10 - 3$

  3. $7 \times 100 + 5 \times 10 + 3$

  4. $7 \times 100 + 5 \times 10 + 1$

Show answer
Correct Option: C
Explanation:

The general form of any three digit number is, $abc = a \times 100 + b \times 10 + c$
So, $753 = 7 \times 100 + 5 \times 10 + 3$


So, option C is correct.

Choose the correct answer if $6 \times 10 + 9$ is in general form. 

Find its usual form.

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $60$

  2. $69$

  3. $609$

  4. $600$

Show answer
Correct Option: B
Explanation:

The usual form: $6 \times 10 +9 = 60+9 = 69$


So, option B is correct.

Determine the number into general form: $90$

maths 5-digit numbers expanded form introduction to numbers and number systems numbers in general form

  1. $9 \times 10 + 0$

  2. $9 \times 10 + 1$

  3. $9 \times 10 - 0$

  4. $9 \times 100 + 0$

Show answer
Correct Option: A
Explanation:

The general form of any two digit number is, $ab = a \times 10 + b$
So, $9 \times 10 + 0$ is in general form.


So, option A is correct.