Calculate the Product: 11.2 × 5.6 × 7.3 Step by Step

Decimal Multiplication with Three Factors

Solve the following problem:

11.2×5.6×7.3= 11.2\times5.6\times7.3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve a math problem together.
00:11 We'll do long multiplication. Ready? Let's begin!
00:26 Remember, watch the decimal point closely!
00:46 Here's the first multiplication. You're doing great!
00:57 Let's try long multiplication one more time.
01:13 Any number times zero is always zero.
01:18 Again, keep an eye on the decimal point.
02:07 And there you have it! We've solved it. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following problem:

11.2×5.6×7.3= 11.2\times5.6\times7.3=

2

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.

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

11.2×5.6=62.72 11.2\\\times5.6\\=62.72

It's 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:

62.72×7.3= 62.72\times7.3=

Remember that:

7.3=7.30 7.3=7.30

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:

457.856 457.856

3

Final Answer

457.856 457.856

Key Points to Remember

Essential concepts to master this topic
  • Order: Multiply decimals from left to right sequentially
  • Technique: Calculate 11.2 × 5.6 = 62.72, then 62.72 × 7.3
  • Check: Count decimal places: 1 + 1 + 1 = 3 places in 457.856 ✓

Common Mistakes

Avoid these frequent errors
  • Multiplying all three numbers at once without organizing
    Don't try to multiply 11.2 × 5.6 × 7.3 all at once = confusion and errors! This leads to misplaced decimal points and calculation mistakes. Always multiply two numbers first, then multiply that 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

Why do I multiply from left to right instead of all at once?

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Multiplying two numbers at a time keeps your work organized and reduces errors. It's much easier to handle 11.2×5.6 11.2 \times 5.6 first, then multiply that result by 7.3.

How do I keep track of decimal places?

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Count the decimal places in each original number: 11.2 has 1, 5.6 has 1, 7.3 has 1. Your final answer should have 1 + 1 + 1 = 3 decimal places.

What if I get a different answer when I change the order?

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You shouldn't! Multiplication is commutative, meaning 11.2×5.6×7.3 11.2 \times 5.6 \times 7.3 equals 7.3×11.2×5.6 7.3 \times 11.2 \times 5.6 . If you get different answers, check your decimal placement.

Can I use a calculator for this?

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Yes, but understanding the step-by-step process helps you catch calculator errors and builds your number sense. Always verify that your answer makes sense!

Why is 62.72 × 7.3 easier than multiplying all three at once?

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Breaking it into steps means you only handle two numbers at a time. This reduces mental load and makes it easier to align decimal points correctly in vertical multiplication.

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