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

Question

Solve the following problem:

11.2×5.6×7.3= 11.2\times5.6\times7.3=

Video Solution

Solution Steps

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 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

Answer

457.856 457.856