Calculate the Product: 4.5 × 3.2 × 5.6 Decimal Multiplication

Question

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

According to the order of operations rules, we will solve the exercise from left to right since multiplication is the only operation in it.

We will solve the left exercise vertically to avoid confusion and get:

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.

Now we will get the exercise:

14.40×5.6= 14.40\times5.6=

Let's remember that:

14.40=14.4 14.40=14.4

We will solve the exercise vertically as well, and remember the rules of keeping the decimal point and multiplying in order (ones, tens, and so on)

And we will get:

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

Answer

80.64 80.64