Question 11 Mark
Perform the following subtractions and check your results by performing corresponding addition: $400000 - 98798$
Answer$400000 - 98798 = 301202$ Verification: $301202 + 98798 = 400000$
View full question & answer→Question 21 Mark
In the following, fill in the blanks, so that the statement is true: $(15 + 5) (15 - 5) = 225 - \_\_)$
Answer$15 + 5) (15 - 5) = 20 \times 10 = 200 = 225 - 25$
View full question & answer→Question 31 Mark
Find the value of:
$964 - (425 ÷ 425)$
Answer$964-\Big(\frac{425}{425}\Big)$
$=964-1=963$
View full question & answer→Question 41 Mark
Fill in the blanks to make the following a true statement: __ $\times 8975 = 8975 \times 1243$
Answer$1243 \times 8975 = 8975 \times 1243$
View full question & answer→Question 51 Mark
Find the value of: $476 + (840 ÷ 84)$
Answer$476+\Big(\frac{840}{84}\Big)$
$=476+10=486$
View full question & answer→Question 61 Mark
Perform the following subtractions and check your results by performing corresponding addition: $200000 - 97531$
Answer$200000 - 97531 = 102469$
Verification: $102469 + 97531 = 200000$
View full question & answer→Question 71 Mark
Does there exist a whole number a such that $a ÷ a = a?$
AnswerYes, there exists a whole number ‘a’ such that $\frac{\text{a}}{\text{a}} = \text{a}$
The whole number is $1$ such that, $\frac{1}{1} = 1$
View full question & answer→Question 81 Mark
Which of the following statements are true and which are false? The sum two even number is an odd number.
Answer ($2 + 4 = 6; 6$ is an even number)
View full question & answer→Question 91 Mark
Which of the following statements are true: $12 \times (14 ÷ 7) = (12 \times 14) ÷ (12 \times 7)$
AnswerFalse. $\text{L.H.S}=12\times\Big(\frac{14}{7}\Big)$
$=12\times2$
$=24$
$\text{R.H.S}=\frac{12\times14}{12\times7}$
$=\frac{168}{84}$
$=2$
$\text{L.H.S}=\text{R.H.S}$
View full question & answer→Question 101 Mark
Fill in the blanks to make the following a true statement: $54321 + (489 + 699) = 489 + (54321 + \_\_\_)$
Answer$54321 + (489 + 699) = 489 + (54321 + 699)$
View full question & answer→Question 111 Mark
Add the following and check by reversing the order of addends: $15409 + 112$
Answer$15409 + 112 = 15521$ And, $112 + 15409 = 15521$
View full question & answer→Question 121 Mark
Fill in the blanks. The sum of two odd numbers is an ______ number.
AnswerThe numbers $3, 7 , 11, 35$ etc. are odd numbers.
Now observe the following: $3 + 7 = 10, 3 + 11 = 14, 3 + 35 = 38, 7 + 11 = 18, 7 + 35 = 42$ etc.
Here, the last digits of $10, 14, 38, 18, 42 ...$ ends with $0, 4, 8$ and $2$.
We know that, the number whose last digits is $0, 2, 4, 6$ or $8$ is an even number.
Thus, $10, 14, 38, 18, 42$ etc. are all even numbers.
Hence, The sum of two odd numbers is an even number.
View full question & answer→Question 131 Mark
Add the following and check by reversing the order of addends: $2359 + 641$
Answer$2359 + 641 = 3000$ And, $641 + 2359 = 3000$
View full question & answer→Question 141 Mark
Determine the following products by suitable rearrangements: $625 \times 20 \times 8 \times 50$
Answer$625 \times 20 \times 8 \times 50 = (625 \times 8) \times (20 \times 50) = 5000 \times 1000 = 5000000$
View full question & answer→Question 151 Mark
Perform the following subtractions and check your results by performing corresponding addition: $57839 - 2983$
Answer$57839 - 2983 = 54856$
Verification: $54856 + 2983 = 57839$
View full question & answer→Question 161 Mark
Which of the following statements are true: $(35 - 14) ÷ 7 = 35 ÷ 7 − 14 ÷ 7$
AnswerTrue. $\text{L.H.S}=\frac{(35-14)}{7}$
$=\frac{21}{7}$
$=3$
$\text{R.H.S}=\frac{35}{7}-\frac{14}{7}$
$=5-2$
$=3$
$\text{L.H.S}=\text{R.H.S}$
View full question & answer→Question 171 Mark
Find the value of: $(2758 ÷ 2758) - (2758 ÷ 2758)$
Answer$\Big(\frac{2758}{2758}\Big)-(2758+2758)$ $=1-1=0$
View full question & answer→Question 181 Mark
Fill in the blanks to make the following a true statement: $4567 \times 1 =$ __
Answer$4567 \times 1 = 4567$
View full question & answer→Question 191 Mark
Which of the following statements are true and which are false? Every natural number is a whole number.
AnswerTrue . Solution: [The whole number set is {$0, 1, 2, 3, 4 …)$, whereas the natural number set is {$1, 2, 3, 4 …$)]
View full question & answer→Question 201 Mark
Fill in the blanks. A number when divided by $12$ gives $7$ as quotient and $9$ as remainder. The number is ______ .
AnswerBy division algorithm, we have dividend = divisor $\times $ quotient + remainder
Here, divisor $= 12$, quotient $= 7$ and remainder $= 9$.
Therefore dividend = divisor $\times $ quotient $+$ remainder $= 12 × 7 + 9 = 84 + 9 = 93$
Hence, the required number is $93.$
View full question & answer→Question 211 Mark
Determine the following products by suitable rearrangements: $495 \times 625 \times 16$
Answer$495 \times 625 \times 16 = (625 \times 16) \times 495 = 10000 \times 495 = 4950000$
View full question & answer→Question 221 Mark
Which of the following statements are true and which are false?
The sum of two even numbers is an even number.
Answer$(2 + 4 = 6; 6$ is an even number)
View full question & answer→Question 231 Mark
Find the value of:
$72450 ÷ (583 - 58)$
Answer$\frac{72450}{(583-58)}$
$=72450+525=138$
View full question & answer→Question 241 Mark
In the following, fill in the blanks, so that the statement is true: $888 + 777 + 555 = 111 \times $ __
Answer$888 + 777 + 555 = 111 (8 + 7 + 5) = 111 \times 20$
View full question & answer→Question 251 Mark
Which of the following statements are true: $(20 ÷ 5) ÷ 2 = (20 ÷ 2) ÷ 5$
AnswerFalse. $\text{L.H.S}=\frac{\big(\frac{20}{5}\big)}{2}$ $=\frac{4}{2}$ $=2$ $\text{R.H.S}=\frac{\big(\frac{20}{2}\big)}{5}$ $=\frac{10}{5}$ $=2$ $\text{L.H.S}=\text{R.H.S}$
View full question & answer→Question 261 Mark
Which of the following statements are true and which are false? The sum of an even number and an odd number is an odd number.
AnswerTrue. Solution: ($2 + 3 = 5; 5$ is an odd number)
View full question & answer→Question 271 Mark
Add the following and check by reversing the order of addends: $5628 + 39784$
Answer$5628 + 39784 = 45412$ And, $39784 + 5628 = 45412$
View full question & answer→Question 281 Mark
Fill in the blanks to make the following a true statement: $785 \times 0 =$ _
View full question & answer→Question 291 Mark
Determine the following products by suitable rearrangements:
$2 \times 1497 \times 50$
Answer$2 \times 1497 \times 50$
$= (2 \times 50) \times 1497$
$= 100 \times 1497$
$= 149700$
View full question & answer→Question 301 Mark
Can a triangular number also be a square number?
AnswerYes, there exists only one triangular number that is both a triangular number and a square number, and that number is $1.$
View full question & answer→Question 311 Mark
In the following, fill in the blanks, so that the statement is true:
$75 × 425 = (70 + 5) ($ __ $+ 85)$
Answer$75 \times 425$
$= (70 + 5) \times 425$
$= (70 + 5) (340 + 85)$
View full question & answer→Question 321 Mark
Fill in the blanks.
When a whole number a is divided by a non-zero whole number b, then there exists whole numbers $q$ and $r$
such that $a = bq + r$, where $r =$ ___ or $r <$ ___
AnswerLet a be dividend and b is the divisor. If q is the quotient and r is the remainder, then by division algorithm
$a = bq + r$, where $r = 0$ or $r < b$
Hence, $r =$ 0 or $r <$ b.
View full question & answer→Question 331 Mark
Fill in the blanks to make the following a true statement: $12 \times 45 = 12 \times 50 - 12 \times $ ___
Answer$12 \times 45 = 12 \times 50 - 12 \times 5$
View full question & answer→Question 341 Mark
In the following, fill in the blanks, so that the statement is true: $89 \times (100 - 2) \times 98 \times (100 -$ __$)$
Answer$89 \times (100 - 2) = 89 \times 98 = 98 \times 89 = 98 \times (100 - 11)$
View full question & answer→Question 351 Mark
Determine the sum by suitable rearrangements:
$953 + 407 + 647$
Answer$953 + 407 + 647$
Therefore, $53 + 47 = 100$
Therefore,$(953 + 647) + 407 = 1600 + 407 = 2007$
View full question & answer→Question 361 Mark
Fill in the blanks to make the following a true statement: $90758 + 0 =$ ____
Answer$90758 + 0 = 90758$
View full question & answer→Question 371 Mark
In the following, fill in the blanks, so that the statement is true:
$(500 + 7) (300 - 1) = 299 \times $ __
Answer$(500 + 7) (300 - 1)$
$= 507 \times 299$
$= 299 \times 507$
View full question & answer→Question 381 Mark
Without drawing a diagram, find. 6th triangular number.
AnswerA triangular number can easily be remembered by the following rule
$N^{th}$ triangular number,
$= n \times ( n + 1 )2$ Therefore,
$6^{th}$ triangular number,
$= 6 \times (6 + 1)2 = 21$
View full question & answer→Question 391 Mark
Add the following and check by reversing the order of addends: $923584 + 178$
Answer$923584 + 178 = 923762$ And, $178 + 923584 = 923762$
View full question & answer→Question 401 Mark
Fill in the blanks to make the following a true statement: $78 \times 89 =78 \times 100 - 78 \times $ __ $+ 78 \times 5$
Answer$78 \times 89 = 78 \times 100 - 78 \times 16 + 78 \times 5$
View full question & answer→Question 411 Mark
Fill in the blanks to make the following a true statement:
$49 \times 66 + 49 \times 34 = 49 \times ($__ $+$ __$)$
Answer$49 \times 66 + 49 \times 34 = 49 \times (66 + 34)$
View full question & answer→Question 421 Mark
Which of the following statements are true: $35 - 14 ÷ 7 = 35 ÷ 7 - 14 ÷ 7$
AnswerFalse. $\text{L.H.S}=\frac{35-14}{7}$ $=35-2$ $=33$ $\text{R.H.S}=\frac{35}{7}-\frac{14}{7}$ $=5-2$ $=3$ $\text{L.H.S}=\text{R.H.S}$
View full question & answer→Question 431 Mark
Which of the following statements are true: $10 ÷ (5 \times 2) = (10 ÷ 5) \times (10 ÷ 2)$
AnswerFalse. $\text{L.H.S}=\frac{10}{(5\times2)}$ $=\frac{10}{10}$ $=1$ $\text{R.H.S}=\Big(\frac{10}{5}\Big)\times\frac{10}{2}$ $=2\times5$ $=10$ $\text{L.H.S}=\text{R.H.S}$
View full question & answer→Question 441 Mark
Which of the following statements are true and which are false? Every whole number is a natural number.
AnswerFalse. Solution: [The whole number set is {$0, 1, 2, 3, 4 …$), whereas the natural number set is {$1, 2, 3, 4 …$)]
View full question & answer→Question 451 Mark
Study the following pattern: $1 =\frac{1\times2}{2}$ $1+2=\frac{2\times3}{2}$ $1+2+3=\frac{3\times4}{2}$ $1+2+3+4=\frac{4\times5}{2}<$ By observing the above pattern, find: $1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10$
Answer$1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 10 \times 112 = 55$
View full question & answer→Question 461 Mark
Which of the following statements are true and which are false? Commutativity and associativity are properties of addition of whole numbers.
Question 471 Mark
Which of the following statements are true and which are false? The sum of two odd numbers is an odd number.
Answer$(3 + 5 = 8; 8$ is an even number)
View full question & answer→Question 481 Mark
Perform the following subtractions and check your results by performing corresponding addition: $3030301 - 868686$
Answer$3030301 - 868686 = 2161615$ Verification: $2161615 + 868686 = 3030301$
View full question & answer→Question 491 Mark
Find the value of: $23457 ÷ 1$
Answer$\frac{23457}{1}=25457$
View full question & answer→Question 501 Mark
Fill in the blanks to make the following a true statement: $66 \times 85 = 66 \times 90 - 66 \times $ __ $-66$
Answer$66 \times 85 = 66 \times 90 - 66 \times 4 - 66$
View full question & answer→