Question

How do you evaluate `1,472\div 16`?

Answer 1

`color(green)92`

Explanation:

`1,472-:16`

`cancel1472^color(green)92/cancel16^color(green)1`

`:.=color(green)92`

Answer 2

`92`

Explanation:

`"Note that " 16=4xx4=2xx8`

Dividing by 4 then 4 again `color(red)"or"` dividing by 2 then 8 is the same as dividing by 16 but should be 'easier'

`"Use any method of short division available to you"`

`"I am using "color(blue)"cancelling " "to do the division"`

`"dividing by 4 then 4 again"`

`rArr1472/4=cancel(1472)^(368)/cancel(4)^1=368`

`"dividing this answer by 4 gives"`

`rArr368/4=cancel(368)^(92)/cancel(4)^1=92`

`rArr1472-:16=92`

Answer 3

An expansion om Jim's method

92

Explanation:

Suppose you are not allowed to use a calculator. If you can spot it try using an easier way of doing the calculations.

Consider the 6 from the 16. Note that `2xx6=12` the 2 from 12 is the same as the last digit of 1472. So there is every chance that 16 will divide into 1472 without any remainder.

16 is the same as `2xx2xx2xx2` and it is usually strait forward to halve values.

Write`" "1472-:16" as "1472/(2xx2xx2xx2)`

`736/(2xx2xx2) larr" after first halving"`

`368/(2xx2) larr" after second halving"`

`184/2 larr" after third halving"`

`92 larr" after forth halving"`
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By the way. Both 1472 and 16 are even so 2 is a common factor.