Calculate the Product: 18 × 69 Step-by-Step

Question

18×69= 18\times69=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use the distributive law
00:07 Break down 18 into 20 minus 2
00:10 Break down 69 into 70 minus 1
00:14 Open parentheses properly
00:18 Multiply each term in parentheses by each term in the second parentheses
00:42 Solve each multiplication separately and then subtract
01:04 Negative times negative always equals positive
01:22 Solve the subtraction first
01:39 And this is the solution to the question

Step-by-Step Solution

To make it easier for us to solve, let's break down 12 and 19 into more convenient numbers, preferably round ones.

We get:

(202)×(701)= (20-2)\times(70-1)=

We'll use the distributive property to solve.

First, we'll multiply the first term in the left parentheses by the first term in the right parentheses.

We'll multiply the first term in the left parentheses by the second term in the right parentheses.

We'll multiply the second term in the left parentheses by the first term in the right parentheses.

We'll multiply the second term in the left parentheses by the second term in the right parentheses.

We get:

(20×70)(20×1)(2×70)(2×1)= (20\times70)-(20\times1)-(2\times70)-(2\times-1)=

Let's solve what's in the parentheses and we get:

1,40020140+2= 1,400-20-140+2=

We'll use the associative property and first solve:

20140=160 20-140=160

Now we get:

1,400160+2= 1,400-160+2=

Let's solve from left to right:

1,400160=1,240 1,400-160=1,240

1,240+2=1,242 1,240+2=1,242

Answer

1242