Check whether the following rational numbers are between -3/8 and 3/8:

1.	Check whether the following rational numbers are between -3/8 and 3/8: i) -1/8ii) 1/8iii) 7/24iv) -21/64
Answer» ER: iii and iv is not there between the given rational numbers. Step-by-step explanation: iii.As 24=8×3 and 24 is the denominator which when divided by 3 gives the ANSWER as 8,we also have to multiply the NUMERATOR with 3. So to find the numerator we have to divide the given number with 3. So 7 is given. On dividing 7 by 3 we don't get a whole number. So iii option is wrong. iv.Same as the third one but the values should be changed. 64=8×8 So divide 64 by 8. We get the answer as 8. -21 when divided by 8 doesn't give a whole number.

Check whether the following rational numbers are between -3/8 and 3/8: i) -1/8ii) 1/8iii) 7/24iv) -21/64

Answer» ER:

iii and iv is not there between the given rational numbers.

Step-by-step explanation:

iii.As 24=8×3 and 24 is the denominator which when divided by 3 gives the ANSWER as 8,we also have to multiply the NUMERATOR with 3.

So to find the numerator we have to divide the given number with 3.

So 7 is given.

On dividing 7 by 3 we don't get a whole number.

So iii option is wrong.

iv.Same as the third one but the values should be changed.

64=8×8

So divide 64 by 8. We get the answer as 8.

-21 when divided by 8 doesn't give a whole number.