Solve the Multiplication Problem: Calculate 17 × 7

Apply the distributive property of multiplication in order to split the number 17 into the sum of numbers 10 and 7. This ultimately allows us to work with smaller numbers and simplify the operation

Reminder - The distributive property of multiplication essentially allows us to split the larger term in a multiplication problem into a sum or difference of smaller numbers, which makes multiplication easier and gives us the ability to solve the problem even without a calculator

$(10+7)\times7=$

Apply the distributive property formula $a(b+c)=ab+ac$

$10\times7+7\times7=$

Proceed to solve according to the order of operations

$70+49=$

Therefore the answer is option C - 119.

Shown below are the various stages of the solution

$17\times7=(10+7)\times7=(10\times7)+(7\times7)=70+49=119$