Q: Round off the given numbers to the nearest tens, hundreds and thousands.

\$75847\$ - Nearest Ten: \$75850\$\$75847\$ - Nearest Hundred: \$75800\$\$75847\$ - Nearest Thousand: \$76000\$\$75847\$ - Nearest Ten Thousand: \$80000\$.

Q: The number \$826315269\$ can be written in International system of numeration as

\$826, 315, 269\$ in International system of numeration is written as eight hundred twenty-six million three hundred fifteen thousand two hundred sixty-nine.

Q: Write the smallest \$4\$ digit number formed using the digits \$8,3,0,1\$.

The ascending order of the given numbers \$8,3,0,1\$ is:\$0 < 1 < 3 < 8\$ A number cannot begin with \$0\$, so we will put it in the second place. The smallest digit (other than \$0\$) is \$1\$. Therefore, the number will begin with \$1\$. Thus, the smallest number formed is \$1038\$.Hence, the smallest \$4\$ digit number formed is \$1038\$.

Q: Write in numerals: Ten lakh ninety thousand nine hundred nine.

Ten lakh ninety thousand nine hundred nineIn numerals it can be written as,\$10,90,909\$

Q: Round these numbers to the nearest tens.\$28, 32, 52, 41, 39, 48, 64, 59, 99, 215, 1453, 2936\$.

\$28=30\$\$32=30\$\$52=50\$\$41=40\$\$39=40\$\$48=50\$\$64=60\$\$59=60\$\$99=100\$\$215=220\$\$1453=1450\$\$2936=2940\$.

Q: Round off to nearest lakhs: The given number is \$38,65,62,048\$

To round of the given no in nearest lakh we need to see the value at ten thousand place which is \$6\$ it is more than \$5\$. So we round off lakhs digit to \$5+1=6\$So we will round off. \$38,65,62,048\$ will become \$38,66,00,000\$

Q: How many zeros are there in one lakh?

As we know \$1 \quad lakh = 1000000\$\$\therefore C\$ will be the correct answer.

Q: Write the number names according to :NumberIndian SystemInternational system23674948670002

\$236749\$Indian system : \$2,36,749\$ - Two lakh thirty six thousand seven hundred forty nineInternational system : \$236,749\$ - Two hundred thirty six thousand seven hundred forty nine\$48670002\$Indian system : \$4,86,70,002\$ - Four Crore Eighty Six lakh Seventy thousand twoInternational system : \$48,670,002\$ - Forty Eight million Six hundred seventy thousand two

Q: Subtract: \$3xy + 5yz- 7zx\$ from \$5xy -2yz- 2zx + 10xyz\$

Subtract \$3xy + 5yz-7zx\$ from\$5xy - 2yz - 2zx + 10xyz\$ \$5xy - 2yz - 2zx + 10xyz-(3xy + 5yz-7zx)\$\$=5xy - 2yz - 2zx + 10xyz-3xy - 5yz+7zx\$\$=2xy-7yz+5zx+10xyz\$

Q: State whether the statements are true (T) or false (F).The areas of any two faces of cuboid are equal.

The given statement is False.A cuboid has rectangular face with different lengths and breadths. Only opposite faces of cuboid have the same length and breadth. Therefore, areas of only opposite faces of a cuboid are equal.

Question 1

Round off the given numbers to the nearest tens, hundreds and thousands.

Accepted Answer

$75847$ - Nearest Ten: $75850$$75847$ - Nearest Hundred: $75800$$75847$ - Nearest Thousand: $76000$$75847$ - Nearest Ten Thousand: $80000$.

Question 2

The number $826315269$ can be written in International system of numeration as

Accepted Answer

$826, 315, 269$ in International system of numeration is written as eight hundred twenty-six million three hundred fifteen thousand two hundred sixty-nine.

Question 3

Write the smallest $4$ digit number formed using the digits $8,3,0,1$.

Accepted Answer

The ascending order of the given numbers $8,3,0,1$ is:$0 < 1 < 3 < 8$ A number cannot begin with $0$, so we will put it in the second place. The smallest digit (other than $0$) is $1$. Therefore, the number will begin with $1$. Thus, the smallest number formed is $1038$.Hence, the smallest $4$ digit number formed is $1038$.

Question 4

Write in numerals: Ten lakh ninety thousand nine hundred nine.

Accepted Answer

Ten lakh ninety thousand nine hundred nineIn numerals it can be written as,$10,90,909$

Question 5

Round these numbers to the nearest tens.$28, 32, 52, 41, 39, 48, 64, 59, 99, 215, 1453, 2936$.

Accepted Answer

$28=30$$32=30$$52=50$$41=40$$39=40$$48=50$$64=60$$59=60$$99=100$$215=220$$1453=1450$$2936=2940$.

Question 6

Round off to nearest lakhs: The given number is $38,65,62,048$

Accepted Answer

To round of the given no in nearest lakh we need to see the value at ten thousand place which is $6$ it is more than $5$. So we round off lakhs digit to $5+1=6$So we will round off. $38,65,62,048$ will become $38,66,00,000$

Question 7

How many zeros are there in one lakh?

Accepted Answer

As we know $1 \quad lakh = 1000000$$\therefore C$ will be the correct answer.

Question 8

Write the number names according to :NumberIndian SystemInternational system23674948670002

Accepted Answer

$236749$Indian system : $2,36,749$ - Two lakh thirty six thousand seven hundred forty nineInternational system : $236,749$ - Two hundred thirty six thousand seven hundred forty nine$48670002$Indian system : $4,86,70,002$ - Four Crore Eighty Six lakh Seventy thousand twoInternational system : $48,670,002$ - Forty Eight million Six hundred seventy thousand two

Question 9

Subtract: $3xy + 5yz- 7zx$ from $5xy -2yz-  2zx + 10xyz$

Accepted Answer

Subtract $3xy + 5yz-7zx$ from$5xy - 2yz - 2zx + 10xyz$  $5xy - 2yz - 2zx + 10xyz-(3xy + 5yz-7zx)$$=5xy - 2yz - 2zx + 10xyz-3xy - 5yz+7zx$$=2xy-7yz+5zx+10xyz$

Question 10

State whether the statements are true (T) or false (F).The areas of any two faces of cuboid are equal.

Accepted Answer

The given statement is False.A cuboid has rectangular face with different lengths and breadths. Only opposite faces of cuboid have the same length and breadth. Therefore, areas of only opposite faces of a cuboid are equal.