Calculate the Product: Solving 97 × 12 Step by Step

Solve the following problem:

$97\times12=$

Apply the distributive property of multiplication and proceed to split the number 12 that we obtained into a sum of 10 and 2. This allows us to work with smaller numbers and simplify the operation

Reminder - The distributive property of multiplication actually 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

$97×(10+2)=$

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

$97×10+97×2=$

Solve according to the order of operations

$970+97×2=$

Apply the distributive property of multiplication again and split the number 97 into a sum of 90 and 7. This allows us to work with smaller numbers and simplify the operation

$970+2×(90+7)=$

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

$970+90×2+7×2=$

Solve the problem according to the order of operations

$970+180+14=$

$1150+14=1164$

Therefore the answer is option C - 1164.

Shown below are the various steps of the solution:
$97×12= 97×(10+2)= 97×10+97×2= 970+(90+7)×2= 970+90×2+7×2= 970+180+14= 1150+14=1164$