Explanation

5.12 - 5.02 = 0.10

0.10 is the same as 0.1.

Explanation

To subtract (-4) from (-6), change the subtraction to addition by changing the sign of the number being subtracted:

-6 - (-4) = -6 + 4

= -2

Explanation

Since you are 5th in a queue starting from either end  so there are 2 persons to your left and 2 to your right

∴∴ Total number of persons are

5+2+2= 9

Explanation

-9×-9=81

So B is correct

Explanation

Fractions with the same denominator are called like fractions.

Example:½, 3/2, 5/2, 7 /2 etc

Sh5-9-2023

Explanation

To round off 87.321756 to 5 significant figures, we look at the 6th significant figure, which is 6.

Since it's greater than 5, we round up the 5th significant figure.

87.321756 becomes 87.322

Explanation

Find the least common multiple (LCM) of 10, 11, and 17.

The LCM of 10, 11, and 17 is the smallest number that is a multiple of all three numbers.

Calculate the LCM.

The prime factorization of the numbers is:

10 = 2 × 5

11 = 11

17 = 17

The LCM is the product of the highest powers of all prime factors: LCM = 2 × 5 × 11 × 17 = 1870.

Explanation

To find the common factors, let's list the factors of each number:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 45: 1, 3, 5, 9, 15, 45

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

The common factors are 1 and 3.

Explanation

Every real number is either a rational or irrational number: True. A real number can either be expressed as a fraction (rational) or cannot (irrational).

Every whole number is a natural number: False. Whole numbers include 0, but natural numbers start from 1. Therefore, 0 is a whole number but not a natural number.

All natural numbers are integers: True. Natural numbers are a subset of integers.

All integers are rational numbers: True. Every integer can be written as a fraction (e.g., 

5 = 5/1), so all integers are rational.

Explanation

To determine the quadrant, let's convert the angle to degrees:

8π/5 radians = (8 * 180°) / 5

= 288°

Since 288° lies between 270° and 360° (or -90° and 0° if considering the unit circle in a different manner), it falls in the:

4th quadrant