Positive and Negative Numbers

Q.

Express each of the following rational numbers as a sum of an integer and rational number:

i) -22/5

Q.

The number $.....+3,-2,-1,0,1,2,3,.....$are called ______

Q. Write three divisions of integers such that the fractional form of each will be $\frac{24}{5}$ .

Q.

Define Integers. [1 MARK]

Q.

Integers can be classified as:

1. Positive integers

2. Negative integers

3. Fractions

4. Zero

Q. Write three divisions of integers such that the fractional form of each will be $\frac{-5}{7}$ .

Q.

If profit is represented by a '+' sign and loss is represented by a '-' sign, how will you represent a profit of ₹109 and loss of ₹901?

1. -₹109 and +₹901 respectively.

2. +₹109 and +₹901 respectively.

3. -₹109 and -₹901 respectively.

4. +₹109 and -₹901 respectively.

Q.

Find the value of the following:

$908+1+\left(-8\right)+8+\left(-1\right)+809$

Q.

The greatest negative integer is ____ and the smallest positive integer is _____.

1. -1 and +1

2. +1 and -1

3. -1 and -1

4. +1 and +1

Q. Which of the two rational numbers in each of the following pairs of rational numbers is greater?
(i) $\frac{-3}{8},0$
(ii) $\frac{5}{2},0$
(iii) $\frac{-4}{11},\frac{3}{11}$
(iv) $\frac{-7}{12},\frac{5}{-8}$
(v) $\frac{4}{-9},\frac{-3}{-7}$
(vi) $\frac{-5}{8},\frac{3}{-4}$
(vii) $\frac{5}{9},\frac{-3}{-8}$
(viii) $\frac{5}{-8},\frac{-7}{12}$

Q.

Select the correct option.
i. Which number will we reach if we move 4 numbers to the right of -2?
ii. Which number will we reach if we move 5 numbers to the left of 1?
iii. If we are at -8 on the number line, in which direction should we move to reach -13?
iv. If we are at -6 on the number line, in which direction should we move to reach -1?

1. i. 2, ii. - 4, iii. left, iv. right

2. i. 1, ii. 4, iii. left, iv. right

3. i. 2, ii. 4, iii. right, iv. left

4. i. 2, ii. 5, iii. right, iv. left

Q.

From inside Room I, Bill overheard the following conversation between a group of humans (from Earth 1), who gathered near a job fair in the premises of “The Hall of Operations”, with a banner which read “Vacancies open for numbers which are closed under addition”:

Supriya (looking at the banner): What does “closed” in the banner mean?

Ajit (with a poker face): If a set of numbers is closed for a particular operation, then it is said to possess the closure property under that operation.

Supriya (unimpressed): That’s just a textbook definition. I want to understand what that actually means.

Arjun: Supriya, a set of numbers is said to be closed under a particular mathematical operation when the result of that operation also belongs to the same set of numbers.

Supriya then made 4 statements, each of which is presented in the following options. Chose the correct options made by Supriya. She might make more than one correct statement.

1. Addition of two integers always results in an integer

2. Subtraction of two integers need not necessarily result in an integer

3. Multiplication of two integers always results in an integer

4. Division of two integers need not necessarily result in an integer

Q.

Which number in the following pair is smaller?

“$8,-9$”

Q. On a number line, taking the point 0 as reference if we add 3 and (-5), the resulting integer will be _______

1. on the left side of zero
2. on the right side of zero
3. at zero
4. at infinity

Q.

-4, -11, 0, 1, 8 and 47 are collectively classified as

1. integers

2. whole numbers

3. natural numbers

4. negative numbers

Q. On a number line, taking the point 0 as reference if we add 3 and (-5), the resulting integer will be _______

1. on the left side of zero
2. on the right side of zero
3. at zero
4. at infinity

Q.

If we are at - 7 on the number line and move 9 units to the right, we would reach ___.

1. 2

2. 0

3. -16

4. -1

Q.

-4, -11, 0, 1, 8 and 47 are collectively classified as

1. whole numbers

2. natural numbers

3. integers

4. negative numbers