Calculate the Product: 0.5 × 6.7 × 6.31 Decimal Multiplication

Question

Solve the following problem:

0.5×6.7×6.31= 0.5\times6.7\times6.31=

Video Solution

Solution Steps

00:07 Let's begin by solving the problem.
00:10 We'll use long multiplication. Watch closely as I explain each step.
00:21 Remember to notice where the decimal point is placed.
00:25 Zero times any number is always zero. That's an important rule.
00:31 Now, this finishes our first part of the multiplication.
00:40 Let's go over it again with long multiplication. Pay careful attention.
00:53 Don't forget to check the decimal point again.
01:26 And there you go! That's how we solve this problem.

Step-by-Step Solution

Adhering to the rules of the order of operations the exercise can be solved from left to right given that it only contains multiplication

The exercise on the left hand side should be solved vertically in order to avoid confusion as shown below:

0.5×6.7=3.35 0.5\\\times6.7\\=3.35

It is important to maintain correct positioning of the exercise, with the decimal point serving as an anchor.
Then we can multiply in order, first the ones digit of the first number by the ones digit of the second number,
then the tens digit of the first number by the ones digit of the second number, and so on.

This should result in the following exercise::

3.35×6.31= 3.35\times6.31=

We will once again solve the exercise vertically whilst maintaining the decimal point and multiplying in order (ones, tens, and so on)

As shown below:

3.35×6.31=21.1385 3.35\\\times6.31\\=21.1385

Answer

21.1385 21.1385