1. State which of the following statements are true or false. Give reasons for your answer. All fractions are rational numbers
All rational numbers are fractions.
(in) All rational numbers other than integers are fractions.
(iv) Every integer is a rational number.
Every rational number is an integer.
(vi) Every integer is a whole number.
(vii) Every rational number is a whole number.

Step-by-step explanation:

1.true

All fractions are rational numbers.

They are numbers that can be represented by a fraction. If a number can't be represented by a fraction, it's called an irrational number.

2.false

All fractions can be termed as rational numbers; however, all rational numbers cannot be termed as fractions. Only those rational numbers in which 'p' and 'q' are positive integers are termed as fractions. Let a/b be any fraction.

3.false

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6.

4.true

Since any integer can be written as the ratio of two integers, all integers are rational numbers. Remember that all the counting numbers and all the whole numbers are also integers, and so they, too, are rational.

5.true

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

6.true

All whole numbers are integers. All integers are whole numbers.

7.false

All rational numbers are not whole numbers. Rational numbers are defined as any number that can be expressed as a ratio or fraction with an integer...

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