Question

Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square root 18, 22.7 repeating 7

Answer 1

Answer:

square root 18

Step-by-step explanation:

square root 18 is irrational because it is irrational no and rest all numbers are rational numbers.

Answer 2

Given: The numbers -10/2 , -13.4 , ✓18 and 22.7 repeating 7 is given

To find: The number that does not belong to other three

Explanation: A rational number is a number that can be represented in the form of p/q where q is not equal to 0.

All the integers are also rational number where q=1.

The decimal numbers can also be termed as rational numbers if the number of digits terminate or it continues in the same order.

For example- 5/2 = 2.5 is a rational number because the number of digits terminate after decimal.

Similarly, 7/3= 2.333 is also a rational number since the digit keeps on repeating in the same order after the decimal.

Checking option (a), -10/2 = -5 which is an integer and therefore, a rational number.

Checking option (b), -13.4 which is a terminating decimal and therefore, a rational number.

Checking option (c), ✓18= 4.24264, it goes on but not in a particular order because of which it is not a rational number.

Checking option (d), 22.7 repeating 7 is a repeating decimal, that is, it goes in a particular order (the digit 7 keeps repeating) and therefore, it is a rational number.

Therefore, √18 does not belong with the other three since it is an irrational number.