Calculate the Product: 4.5 × 3.2 × 5.6 Decimal Multiplication

Calculate the following exercise:

4.5×3.2×5.6= 4.5\times3.2\times5.6=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Consider one multiplication at a time
00:07 Use the multiplication table for calculation
00:10 Calculate and place in the appropriate position
00:14 Add the tens digit to the calculation when needed
00:20 Move to the next digit, calculate and place accordingly
00:34 Connect between the calculations
00:41 This is the first multiplication calculation, place it back in the exercise
00:50 Use the multiplication table for calculation
00:59 Use the multiplication table for calculation
01:03 Use the multiplication table for calculation
01:15 Move to the next digit, calculate and place accordingly
01:33 Connect between the calculations
01:39 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate the following exercise:

4.5×3.2×5.6= 4.5\times3.2\times5.6=

2

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

3

Final Answer

80.64 80.64

Practice Quiz

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\( 94+12+6= \)

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