2/5

is a
number and would be a
decimal.

2. −0.07
is a
number and would be a
decimal.

3. 4/9
is a
number and would be a
decimal.

4. 99−−√
is a
number and would be a
decimal.

5. −0.03521...
is a
number and would be a
decimal.

6. 121−−−√
is a
number and would be a
decimal.

1 answer

Let's fill in the blanks for each statement:

  1. 2/5 is a rational number and would be a terminating decimal (since 2 divided by 5 equals 0.4).

  2. −0.07 is a rational number and would be a terminating decimal.

  3. 4/9 is a rational number and would be a repeating decimal (since 4 divided by 9 equals approximately 0.4444..., which repeats).

  4. 99−−√ (the square root of 99) is an irrational number and would be a non-terminating, non-repeating decimal (approximately 9.949).

  5. −0.03521... is a rational number and would be a non-terminating repeating decimal (if the '...' indicates that it continues the pattern of decimal digits).

  6. 121−−−√ (the square root of 121) is a rational number and would be a terminating decimal (since the square root of 121 equals 11).

In summary:

  1. rational, terminating decimal
  2. rational, terminating decimal
  3. rational, repeating decimal
  4. irrational, non-terminating non-repeating decimal
  5. rational (or non-terminating repeating decimal, depending on the context), non-terminating repeating decimal
  6. rational, terminating decimal
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