Question

6. Which of the following statements are true: write t for true and f for false
a) The rational number lies to the left of zero on the number line.
b) The rational number 17 lies to the left of zero on the number line.
c) The rational number lies to the right of zero on the number line.
a) The rational numbers and are on the opposite side of zero on the number
line.
e) The rational numbers and -31
are on the opposite side of zero on the number
line.
f) The rational number
is one the right of
on the number line.​

Answer 1

Answer:-

Before going to Solve this question we talk understand what is rational number . Some place in your questions you forget to write number so I write there .

The number which can be written in the form of p/q where p & q are integers & q ≠ 0 are called rational number .

The collection of rational number is denoted by Q. Rational Number can be negative , positive or zero.

Rational number include natural numbers , whole number & integers .

a) The rational number lies to the left of zero on the number line.

$:\implies$ True because negative rational number lies to the left of zero on the number line.

b) The rational number 17 lies to the left of zero on the number line.

$:\implies$ False (Positive rational number lies right of zero on the number line . e.g 5/3 , 9/4 etc).

c) The rational number lies to the right of zero on the number line.

$:\implies$ True because positive rational number lies right to zero on the number line ( e.g. 12/5 , 7/6 etc )

d) The rational numbers 12/5 and -7/17 are on the opposite side of zero on the number line.

$:\implies$ True , both lies on the opposite side of zero on the number line because one is positive & another is negative

e) The rational numbers 5 and -31 are on the opposite side of zero on the number line.

$:\implies$ True , 5 & -31 are on the opposite side of zero on the number line as one is positive & another is negative .

f) The rational number is one the right of on the number line

$:\implies$ True , one is positive so it lies on the right side of zero on the number line .

Answer 2

6) Which of the following statements are true: Write T for True and F for False:-

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a) The rational number lies to the left of zero on the number line.

➽ True

• Examples: -1, -2, -3, -4, -5, and so on.

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b) The rational number 17 lies to the left of zero on the number line.

➽ False

• As 17 is a positive rational number. So, it lies to the right of zero on the number line.

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c) The rational number lies to the right of zero on the number line.

➽ True

• Examples: -1, -2, -3, -4, -5, and so on.

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d) The rational numbers -1 and 1 are on the opposite side of zero on the number line.

➽ True

• As 1 is a positive rational number. So, it lies on the right side of the zero and on the other hand -1 is a negative rational number. So, it lies on the left side of the zero.

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e) The rational numbers 1/2 and 5/7 are on the opposite side of zero on the number line.

➽ False

• As both are positive rational numbers. So, they both lies to the right side of the zero.

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f) The rational number is one the right of on the number line.

➽ True

• But only in the case of positive rational numbers.

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