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For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v . What is the value of ((98Θ33) Θ17) - (98Θ (33Θ17)) ?

Explanation	Calculations	Help
$We first use the definition of remainder in division.$	$m = v \times q + (m Θ v)$	Theory & Tactics Method Card TRANS5-F Click to view full details
$We then find the remainder when 98 is divided by 33.$	$98 = 33 \times 2 + 32$	Theory & Tactics Method Card ALG5-D Click to view full details
$We then find the remainder when 33 is divided by 17.$	$33 = 17 \times 1 + 16$
$We then find the remainder when 32 is divided by 17.$	$32 = 17 \times 1 + 15$
$We then find the remainder when 98 is divided by 16.$	$98 = 16 \times 6 + 2$
$We then subtract the two remainders found above.$	$15 - 2 = 13$

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13

For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v . What is the value of ((98Θ33) Θ17) - (98Θ (33Θ17)) ?

Explanation	Calculations	Help
$We first use the definition of remainder in division.$	$m = v \times q + (m Θ v)$	Theory & Tactics Method Card TRANS5-F Click to view full details
$We then find the remainder when 98 is divided by 33.$	$98 = 33 \times 2 + 32$	Theory & Tactics Method Card ALG5-D Click to view full details
$We then find the remainder when 33 is divided by 17.$	$33 = 17 \times 1 + 16$
$We then find the remainder when 32 is divided by 17.$	$32 = 17 \times 1 + 15$
$We then find the remainder when 98 is divided by 16.$	$98 = 16 \times 6 + 2$
$We then subtract the two remainders found above.$	$15 - 2 = 13$

Scroll horizontally to view all columns

13