What is the definition of a rational number?

A rational number is a number that can be expressed in the form of p/q, where p and q are integers and q is not equal to zero.

Fill in the blank: The greatest n-digit number is formed by writing the digit ___ as many times as the value of n.

9

True or False: The place value of a digit in a number increases as you move from right to left.

True

What is the additive identity in mathematics?

The additive identity is 0, because adding 0 to any number does not change the number.

Fill in the blank: The sum of the digits of a number must be divisible by ___ for the number to be divisible by 3.

3

What is the difference between a prime number and a composite number?

Prime numbers have unique factors.

• Only divisible by 1, itself.

• Example: 2, 3, 5 are primes.

• Composite numbers have multiple factors.

Riddle: I am a number that is divisible by both 2 and 3, but not by 5. What am I?

Any even multiple of 3 that does not end in 0 or 5, such as 6, 12, 18.

True or False: Every natural number is also a whole number.

True

What is the relationship between the digits of a number and its face value?

The face value of a digit in a number is the value of the digit itself, regardless of its position in the number.

Fill in the blank: The smallest prime number is ___.

2

How do you determine if a number is even?

A number is even if its last digit is 0, 2, 4, 6, or 8.

What is the multiplicative identity?

The multiplicative identity is 1, because multiplying any number by 1 does not change the number.

Riddle: What has a value of 1 when multiplied by any number, but does not change that number?

1, the multiplicative identity.

Fill in the blank: A composite number must have at least ___ factors.

Three

What is the rule for determining if a number is divisible by 10?

A number is divisible by 10 if it ends with a 0.