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### Given that 346 × 27 = 9342 , work out 34.6 × 2.7

Lets compare the numbers in the question:

34.6  x  2.7  is the same as  346/10  x  27/10        (decimal to fraction)

therefore...

34.6  x  2.7  is the same as  ( 346  x  27 ) /100     (multiplying top & bottom)

so if

346 × 27  =  9342   then    ( 346  x  27 ) /100  =  9342 /100

=  93.42

(whatever we do to the left of an equation, we must also do to the right).

A quicker way to solve this problem is to know that if we move the decimal point [ x number of times ] on the left-hand-side of the equation, we must also move it [ x number of times ] on the right-hand-side.

2 years ago

Answered by Andrew, who has applied to tutor GCSE Maths with MyTutor

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