Solve Exercise 2 on Pages 58 and 59 of Math 5 Textbook

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Ngày cập nhật gần nhất: 15/4/2026

Solve Exercise 2 on Pages 58 and 59 of Math 5 Textbook: Multiplying Decimal Numbers with Decimals, Calculate and Compare the Values of axb and bxa

Guidance for Solving Exercise 2 on Pages 58 and 59 of Math 5 Textbook

Problem Statement:
Calculate and compare the values of a x b and b x a:

Observation: Multiplying decimal numbers exhibits the commutative property:
When swapping the factors of a product, the product remains unchanged: a x b = b x a
b) Write down the calculated results immediately:
4.34 x 3.6 = 15.624 9.04 x 16 = 144.64
3.6 x 4.34=... 16 x 9.04=...

Solution Method:
- The commutative property of multiplication states: When swapping the factors of a product, the product remains the same.
- Apply this rule, substitute numbers into the expression a x b, carefully calculate, find the correct result, which is also the result of the expression b x a.

Answer:

The values of a x b and b x a are always equal.
b) According to the commutative property of multiplication, we have:
4.34 x 3.6 = 15.624 9.04 x 16 = 144.64
3.6 x 4.34 = 15.624 16 x 9.04 = 144.64

Above is the solution guide for Exercise 2 on Pages 58 and 59 of Math 5 Textbook. Additionally, this section includes 2 other exercises: Solve Exercise 1 on Pages 58 and 59 of Math 5 Textbook and Solve Exercise 3 on Pages 58 and 59 of Math 5 Textbook. Let's see the guidance for solving exercises on Pages 58 and 59 of Math 5 Textbook to excel in Grade 5 Mathematics!

Frequently Asked Questions

What is the commutative property of multiplication in decimal numbers?

The commutative property of multiplication states that when two factors are multiplied, swapping them does not change the product. For example, in decimal multiplication, a x b equals b x a, ensuring consistent results.

How do you calculate and compare the values of a x b and b x a?

To calculate and compare a x b and b x a, substitute the decimal numbers into the expressions, perform the multiplication, and observe that the results will always be equal due to the commutative property.

Can you provide an example of multiplying decimal numbers demonstrating the commutative property?

Certainly! For instance, multiplying 4.34 by 3.6 yields 15.624, and swapping the numbers (3.6 by 4.34) gives the same product, 15.624, demonstrating the commutative property.

What results can be expected when solving Exercise 2 from the Math 5 Textbook?

When solving Exercise 2, you will find that the products of the pairs like 4.34 x 3.6 and 3.6 x 4.34 yield the same results, reinforcing the principle of the commutative property in decimal multiplication.

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