Solve the Multiplication Problem: Calculate 17 × 7

We will use the distributive property of multiplication and split the number 17 into the sum of numbers 10 and 7. This 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

$(10+7)\times7=$

We will use the distributive property formula $a(b+c)=ab+ac$

$10\times7+7\times7=$

We will solve according to the order of operations

$70+49=$

Therefore the answer is option C - 119.

And now let's see the solution of the problem centralized:

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