Calculate the Product: 4.5 × 3.2 × 5.6 Decimal Multiplication

Triple Decimal Multiplication with Sequential Steps

Calculate the following exercise:

4.5×3.2×5.6= 4.5\times3.2\times5.6=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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

Key Points to Remember

Essential concepts to master this topic
  • Order of Operations: Multiply from left to right for consecutive multiplications
  • Technique: First calculate 4.5 × 3.2 = 14.4, then 14.4 × 5.6
  • Check: Count decimal places: 1 + 1 + 1 = 3 places total ✓

Common Mistakes

Avoid these frequent errors
  • Multiplying all three numbers simultaneously
    Don't try to multiply 4.5 × 3.2 × 5.6 all at once = confusion with decimal placement! This leads to errors in positioning decimal points and calculation mistakes. Always multiply two numbers first, then multiply the result by the third number.

Practice Quiz

Test your knowledge with interactive questions

\( 94+12+6= \)

FAQ

Everything you need to know about this question

Do I have to multiply from left to right?

+

For multiplication only, you can multiply in any order due to the associative property! However, working left to right helps you stay organized and avoid errors.

How do I keep track of decimal places?

+

Count the decimal places in each number, then add them together. 4.5 4.5 (1 place) + 3.2 3.2 (1 place) + 5.6 5.6 (1 place) = 3 decimal places in your final answer.

Can I use a calculator for this?

+

Yes! But understanding the manual process helps you catch calculator errors and builds number sense. Try both methods to verify your answer.

What if I get a different answer when multiplying in different orders?

+

You should get the same answer regardless of order! If you don't, double-check your decimal point placement and arithmetic in each step.

Why does the explanation show vertical multiplication?

+

Vertical multiplication helps you organize your work and properly align decimal points. It's especially helpful with longer decimal numbers to avoid calculation errors.

Is 80.64 the only way to write the answer?

+

Yes! 80.64 80.64 is already in simplest decimal form. You could write it as a mixed number or fraction, but decimal form is most appropriate here.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations