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

Video Solution

Solution Steps

00:04 Let's solve this math problem together.

00:07 We'll use the distributive law to make it easier.

00:11 First, think of eighteen as twenty minus two.

00:15 Now, let's write sixty-nine as seventy minus one.

00:20 Great! Open the parentheses correctly.

00:23 Multiply each term in the first set of parentheses by each term in the second set.

00:46 Tackle each multiplication one at a time, and then subtract the results.

01:08 Remember, when you multiply two negative numbers, the result is positive.

01:26 Do the subtraction part first to find the answer.

01:43 And that's how we find the solution. Well done!

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:

$(20-2)\times(70-1)=$

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:

$(20\times70)-(20\times1)-(2\times70)-(2\times-1)=$

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

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

We'll use the associative property and first solve:

$20-140=160$

Now we get:

$1,400-160+2=$

Let's solve from left to right:

$1,400-160=1,240$

$1,240+2=1,242$