Rational Numbers

What is the additive identity for rational numbers?

What is known as the multiplicative identity for rational numbers?

What is the negative or additive inverse of a rational number?

What is the reciprocal or multiplicative inverse of a rational number?

What property states that rational numbers follow distributive property of multiplication over addition?

Fill in the blanks. a. 2 3 7 8 1 3 2 3 7 8 2 3 ́- = ́- ....................... . b. 9 8 ́ ....................... = -9 8 . c. Reciprocal of -3 7 is ....................... . d. 6 7 3 4 9 += ....................... ++ 3 4 9 . e. The product of two rational numbers is always a ....................... . f. The numbers ....................... and ....................... are their own reciprocals. g. The product of a positive rational number and a negative rational number is always ....................... .

Is 1 0 the multiplicative inverse of 0? Why or why not?

Multiply 3 13 by the reciprocal of 9 26 .

Find (x + y) ÷ (x - y), if x = 1 4 and y = 3 2 .

All integers are rational numbers. Are all rational numbers integers? Justify your answer with an example.