Answer:

DEFINE AND IDENTIFY EXAMPLES OF TERMINATING DECIMALS - DEFINITION

A terminating decimal is a decimal that ENDS i.e. it has finite number of digits.

For a fraction in decimal form, while PERFORMING division after a certain number of STEPS, we get the remainder zero.

The quotient obtained as decimal is called the terminating decimal.

For eg:-

83=0.375 has 3 digits after decimal point

45=1.25 has 2 digits after decimal point

Hence, 0.375 and 1.25 are terminating decimals.

NON-TERMINATING RECURRING DECIMALS - DEFINITION

While expressing a fraction in the decimal form, when we perform division we get some remainder.

If the division process does not end i.e. we do not get the remainder equal to zero; then such decimal is known as non-terminating decimal.

In some CASES, a digit or a block of digits repeats itself in the decimal PART, then the decimal is non-terminating recurring decimal.

For eg:- 

1.6666....,0.141414...

NON-TERMINATING AND NON-RECURRING DECIMALS - DEFINITION

While expressing a fraction in the decimal form, when we perform division we get some remainder. 

If the division process does not end i.e. we do not get the remainder equal to zero; then such decimal is known as non-terminating decimal.

And if a digit or a block of digits does not repeats itself in the decimal part, such decimals are called non-terminating and non-recurring decimals.

For eg:- 1.41421356.....