Integers

Q.

Question 100
Solve the following, select the rational numbers from the list which are also the integers.
$\frac{9}{4},\frac{8}{4},\frac{7}{4},\frac{6}{4},\frac{9}{3},\frac{8}{3},\frac{7}{3},\frac{6}{3},\frac{5}{2},\frac{4}{2},\frac{3}{1},\frac{3}{2},\frac{1}{1},\frac{0}{1},\frac{-1}{1},\frac{-2}{2},\frac{-3}{2},\frac{-4}{2},\frac{-5}{2},\frac{-6}{2}$

Q.

The numbers which are used for counting object are called_________

Q.

Identify the set of all positive integers:

1. $(10.1,0.2,3.2)$

2. $(1,2,3,4)$

3. $(12,-4,6,-8)$

Q.

The number of whole numbers and integers between -2 and 3 are ___and ___ respectively.

Q. The collection of all rational numbers and irrational numbers together is known as ____ numbers.

1. whole
2. real
3. natural
4. co-prime

Q.

The number of integers between $-2$ and $2$ is

1. $4$

2. $3$

3. $2$

4. $0$

Q. Express $\frac{-3}{5}$ as a rational number with denominator
(i) 20
(ii) −30
(iii) 35
(iv) −40

Q. Number of integers between -4 and 7 is ____ .

1. 8
2. 10
3. 9
4. 11

Q.

Let $R$ be the relation on $Z$ defined by $R=\left\{(a,b):a,b\in Z,a–bisaninteger\right\}$. Find the domain and range of $R$.

Q. Solve the following, select the rational numbers from the list which are also the integers.
$\frac{9}{4},\frac{8}{4},\frac{7}{4},\frac{6}{4},\frac{9}{3},\frac{8}{3},\frac{7}{3},\frac{6}{3},\frac{5}{2},\frac{4}{2},\frac{3}{1},\frac{3}{2},\frac{1}{1},\frac{0}{1},\frac{-1}{1},\frac{-2}{2},\frac{-3}{2},\frac{-4}{2},\frac{-5}{2},\frac{-6}{2}$

Q. A company puts a code on each different product they sell. The code is made up of 2 numbers and 1 letter. How many different codes are possible?

1. $46$
2. $2600$
3. $1300$
4. $5200$

Q.

Is (a + b ) an integer for any two integers a and b?

Q. Find the value of :
$(14÷7)÷2=$ ____
$14÷(7÷2)=$ ____

1. 1, 1
2. 1, 4
3. -1, -1
4. 2, 3

Q.

How many rational numbers are there between √3 to √7 ?

1. 0

2. 1

3. 2

4. infinity

Q.

Which of the following is the largest negative integer?

1. Zero

2. -100

3. -1

4. -99

Q.

Between any two consecutive integers there is definitely a ______ .

1. Natural number

2. Integer

3. Whole number

4. Rational number

Q.

Is -5/0 a negative rational number

Q.

Question 100
Solve the following, select the rational numbers from the list which are also the integers.
$\frac{9}{4},\frac{8}{4},\frac{7}{4},\frac{6}{4},\frac{9}{3},\frac{8}{3},\frac{7}{3},\frac{6}{3},\frac{5}{2},\frac{4}{2},\frac{3}{1},\frac{3}{2},\frac{1}{1},\frac{0}{1},\frac{-1}{1},\frac{-2}{2},\frac{-3}{2},\frac{-4}{2},\frac{-5}{2},\frac{-6}{2}$

Q.

Simplify

36 - 2(20 + 12 $÷$ 4 x 3 - 2 x 2) + 10

1. -5

2. -7

3. -6

4. -4

Q. If the decimal expansion of a number is non-terminating and non-repeating, then, the number is

1. an integer
2. a rational number
3. an irrational number
4. a whole number

Q. The set of whole numbers is a superset of the set of natural numbers.

1. False
2. True

Q. Evaluate each of the following:

ii) $\sqrt[3]{31000}+\sqrt[3]{30.008}-\sqrt[3]{30.125}$

Q.

Question 4 (v)
Find the square roots of the following numbers by the Prime Factorization method:
7744

Q.

Number of integers lying between $(-2)$ and $2$ is

1. $1$

2. $2$

3. $3$

4. $4$

Q.

Question 4 (x)
Find the square roots of the following numbers by the Prime Factorization method:
8100

Q.

Question 4 (viii)
Find the square roots of the following numbers by the Prime Factorizationmethod:
9216

Q. 40. A lady has 25 paise and 50 paise coins in her purse .If in all she has 40 coins totally Rs 12.50, then the number of coins of each type she has?

Q.

$0$ is a positive integer.

1. True
2. False

Q. Tick (✓) the correct answer:
If (a − b) = 7 and ab = 9, then (a² + b²) = ?
(a) 67
(b) 31
(c) 40
(d) 58

Q.

The number zero is an integer. The sign of this number is

1. Positive

2. Negative

3. Does not have any sign

4. Sometimes positive, sometimes negative.