Calculate the Product: 4.5 × 3.2 × 5.6 Decimal Multiplication

Question

Calculate the following exercise:

4.5×3.2×5.6= 4.5\times3.2\times5.6=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use long multiplication to solve the multiplication
00:19 Pay attention to the decimal point
00:42 This is the first multiplication
00:52 Again, let's use long multiplication to solve the multiplication
01:15 Pay attention to the decimal point
01:34 And this is the solution to the question

Step-by-Step Solution

Whilst adhering to the rules of the order of operations, the exercise can be solved from left to right, given that it only contains multiplication.

Proceed to solve the left exercise vertically in order to avoid confusion as shown below:

4.5×3.2=14.40 4.5\\\times3.2\\=14.40

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.

We should obtain the following exercise:

14.40×5.6= 14.40\times5.6=

Remember that:

14.40=14.4 14.40=14.4

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

As shown below:

14.4×5.6=80.64 14.4\\\times5.6\\=80.64

Answer

80.64 80.64