Tag: numbers in general form

Questions Related to numbers in general form

Which of the following, when rounded off to the nearest thousand, is $38,000$?

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

  1. $38,400$

  2. $38,500$

  3. $38,600$

  4. $38,700$

Show answer
Correct Option: A
Explanation:

Since the digit at hundreds place of $ 38,400 $ is $ 4 < 5 $,
Rounding of $ 38,400 $ to nearest thousand we get $ 38,000 $

$Minuend -subtrahend =$ .........

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

  1. product

  2. difference

  3. sum

  4. quotient

Show answer
Correct Option: B
Explanation:

Minuend is the first number in the subtraction and subtrahend is the number that is to be subtracted.
$minuend - subtrahend = difference$
$\therefore $  Option B is correct.

Round off to nearest tens:The given number is $8,974$

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

  1. $8,980$

  2. $8,975$

  3. $8,970$

  4. $8,900$

Show answer
Correct Option: C
Explanation:

The given no is $8974$ for rounding for nearest 1s will see the no at
ones place it is 4 . 

Since 4 is less than 5 we will round down.
So $8974$ for will become $8970$

Is it possible to make $1000$ with eight 8's in any way by using any  of operation $+,-, \times,\div$?

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

  1. Yes

  2. No

  3. Impossible

  4. None of these

Show answer
Correct Option: A
Explanation:

It is clear that  $888+88+8+8+8=1000$
 

$10$ crores $=$ ________ million.

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

  1. $10$

  2. $100$

  3. $1$

  4. $1000$

Show answer
Correct Option: B
Explanation:

(B) $10:crores=100:millions$.

Ten lakhs comes under _______ period.

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

  1. crores

  2. lakhs

  3. thousands

  4. millions

Show answer
Correct Option: B
Explanation:

(B) Ten lakhs & lakhs places are in the lakhs period.

The number of zeroes that comes after $1$ for $10$ crores is

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

  1. $6$

  2. $7$

  3. $8$

  4. $9$

Show answer
Correct Option: C
Explanation:

$1 crores=100000000$

Expanded form of 27012 is 

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

  1. $2000+700+0+10+2$

  2. $20000+700+0+10+2$

  3. $20000+1000+0+70+2$

  4. $20000+7000+0+10+2$

Show answer
Correct Option: D
Explanation:

(D) $27012=20000+7000+0+10+2$

Expanded form of 78.059 is

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

  1. $78\, +\, \displaystyle \frac {5}{10}\, +\, \displaystyle \frac {9}{100}$

  2. $70\, +\,8\, +\,0\, +\, \displaystyle \frac {5}{100}\, +\, \displaystyle \frac {9}{1000}$

  3. $70\, +\,8\, +\, \displaystyle \frac {5}{10}\, +\, \displaystyle \frac {9}{100}$

  4. None

Show answer
Correct Option: B
Explanation:

$\Rightarrow$  The given number is $78.059$

$\Rightarrow$  Expanded form = $70+8+0+\dfrac{5}{100}+\dfrac{9}{1000}$

If $(2t - 3)(? + 6 + 9) = 8t$$^3$ $- 27$, then ? will be replaced by 

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

  1. $-4t$$^2$

  2. $5t$$^2$

  3. $4t$$^2$

  4. None of these

Show answer
Correct Option: C
Explanation:

$8t^3$ $- 27 = (2t)$$^3$ $- (3)$$^3$
$= (2t - 3)$$[(2t)$$^2$ $+ 2t \times 3 + 3$$^2$]
$= (2t - 3)(4t$^2$ + 6t + 9)$
$\because$ $(2t - 3)(4t$$^2$ $+ 6t + 9)$
$= (2t - 3)(a + 6t + 9)$
$\Rightarrow$ $4t$$^2$ $+ 6t + 9 = (a + 6t + 9)$
$\therefore$ $a = 4t$$^2$