Solve 187×(8-5): Multiplication with Parentheses Problem

Question

Solve the following problem:

187×(85)= 187\times(8-5)=

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 Make sure to open the parentheses properly
00:06 The outer term will multiply each term within the parentheses
00:09 Use long multiplication in order to solve each multiplication
00:14 This is the first multiplication
00:17 Now let's calculate the second multiplication using long multiplication
00:24 This is the second multiplication, now let's subtract between them
00:27 We'll use long subtraction to find the solution
00:31 This is the solution

Step-by-Step Solution

Apply the distributive property and proceed to multiply each term inside of the parentheses by 187:

187×8187×5= 187\times8-187\times5=

Solve the first multiplication problem vertically, making sure to solve it in the correct order (ones multiplied by ones, ones multiplied by tens, ones multiplied by hundreds )

187×8 187\\\times8

We should obtain the following result: 1496

Proceed to solve the second multiplication problem vertically, once again making sure to solve it in the correct order (ones multiplied by ones, ones multiplied by tens, ones multiplied by hundreds )

187×5 187\\\times5

We should obtain the following result: 935

Now to tackle the next problem:

1496935= 1496-935=

We should once again solve this vertically. Make sure to align the digits properly, ones under ones, tens under tens, etc.:

1496935 1496\\-935

Subtract ones from ones, tens from tens, etc., to obtain the final result: 561 561

Answer

561 561