Maths-
General
Easy

Question

Without performing the actual division, check whether the following rational numbers are terminating or non-terminating 73 over 40.

hintHint:

Hint:
Numbers with a fixed or finite number of digits following the decimal point are known as terminating decimals and numbers with infinite decimal places are known as non-terminating decimals.

The correct answer is: terminating decimal expansion


    Let x = p/q be a rational number such that the prime factorisation of q is in form 2m5n, where m and n are non-negative integers, then x will have a terminating decimal expansion.
    c)
    x = 73 over 40
    In the given rational number, the value of q is 40. The factorisation of 40 is given as
    40 equals 2 cubed cross times 5 equals 2 to the power of m 5 to the power of n
    Final Answer:
    As the factorisation of 40 is not in the form of 2m5n, 73 over 40 will have terminating decimal expansion.

    Related Questions to study

    General
    Maths-

    Without performing the actual division, check whether the following rational numbers are terminating or non-terminating 125 over 325

    Without performing the actual division, check whether the following rational numbers are terminating or non-terminating 125 over 325

    Maths-General
    General
    General

    Identify the definition of a blend.

    Identify the definition of a blend.

    GeneralGeneral
    General
    General

    Identify the rhyming word for ‘action’.

    Identify the rhyming word for ‘action’.

    GeneralGeneral
    parallel
    General
    General

    Identify the synonym of the word ‘key concept’.

    Identify the synonym of the word ‘key concept’.

    GeneralGeneral
    General
    General

    Identify the thesaurus of the word ‘based’.

    Identify the thesaurus of the word ‘based’.

    GeneralGeneral
    General
    General

    Identify the adjective of ‘skill’.

    Identify the adjective of ‘skill’.

    GeneralGeneral
    parallel
    General
    General

    Identify the antonym for the word ‘Reaction’

    Identify the antonym for the word ‘Reaction’

    GeneralGeneral
    General
    Maths-

    Without performing the actual division, check whether the following rational numbers are terminating or non-terminating.23 over 175

    Without performing the actual division, check whether the following rational numbers are terminating or non-terminating.23 over 175

    Maths-General
    General
    General

    Identify the definition of ‘simile’.

    Identify the definition of ‘simile’.

    GeneralGeneral
    parallel
    General
    General

    Identify the synonym for the word ‘sort’.

    Identify the synonym for the word ‘sort’.

    GeneralGeneral
    General
    Maths-


    Which of the following is an equation of line ell  in the xy -plane above?


    Which of the following is an equation of line ell  in the xy -plane above?

    Maths-General
    General
    General

    Identify the synonym for the word ‘draw on’

    Identify the synonym for the word ‘draw on’

    GeneralGeneral
    parallel
    General
    General

    Identify the thesaurus for the word ‘negative’.

    Identify the thesaurus for the word ‘negative’.

    GeneralGeneral
    General
    Maths-

    Express 23.324242424….. in p/q form, where p and q are integers

    Express 23.324242424….. in p/q form, where p and q are integers

    Maths-General
    General
    General

    Identify the synonym for the word ‘brings out’.

    Identify the synonym for the word ‘brings out’.

    GeneralGeneral
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.