Solving exercises on page 60 of Math Grade 5 textbook, Practice

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Solving exercises on page 60 of Math Grade 5 textbook, Practice - Including solution methods

Solution to problem 1 on page 60 of Math Grade 5 textbook

Problem:
a) Example:

Observation: If we move the decimal point of the number 531.75 to the left by two digits, we also get 5.3175.
When dealing with a decimal number like 0.1, 0.01, 0.001, ... we simply need to move the decimal point of that number one, two, three, ... digits to the left.

b) Mental calculation:

Solution method:
The rule for multiplying a decimal by decimals 0.1; 0.01; 0.001;... : Simply shift the decimal point of the decimal number to the left accordingly one, two, three,... digits.

Answer:

Solution to problem 2 on page 60 of Math Grade 5 textbook
Problem:
Write the following measurements in square kilometers?
1000ha;          125ha;              12.5ha;            3.2ha;

Solution method:
- Conversion: 1 ha (hectare) = 0.01 km² or in other words: 1 ha = 1/100 km²
- Students apply the formula above to convert the given area measurements from ha to km², simply multiply the given number by 1/100 to get the result needed.

Answer:

Solution to problem 3 on page 60 of Math Grade 5 textbook
Problem:
On a map with a scale of 1:1000000, the distance from Ho Chi Minh City to Phan Thiet measures 19.8cm. What is the actual distance from Ho Chi Minh City to Phan Thiet in kilometers?

Solution method:
Students apply the calculation: 1cm on the map = 1,000,000cm in reality.

Answer:
The map indicates a scale of 1:1000000, meaning every 1cm on the map equals 1,000,000cm in reality.
The distance from Ho Chi Minh City to Phan Thiet is:
19.8 x 1000000 = 19800000 (cm)
19800000 cm = 198km
Answer: 198km.

Solving exercises on page 60 of Math Grade 5 textbook, Practice - Concise

Solution to problem 1 on page 60 of Math Grade 5 textbook, Practice
a) Example:
142.57 x 0.1 = 14.257
Observation: Moving the decimal point of the number 142.57 to the left by one digit, we also get 14.257
531.75 x 0.01 = 5.3175
Observation: Moving the decimal point of the number 531.75 to the left by two digits, we also get 5.3175.
When dealing with a decimal number like 0.1; 0.01; 0.001 ..., we just need to move the decimal point of that number one, two, three ... digits to the left.
b) Mental calculation:
579.8 x 0.1 38.7 x 0.1 6.7 x 0.1
805.13 x 0.01 67.19 x 0.01 3.5 x 0.01
362.5 x 0.001 20.25 x 0.001 5.6 x 0.001
Detailed solution
579.8 x 0.1 = 57.98 38.7 x 0.1 = 3.87
805.13 x 0.01 = 8.0513 67.19 x 0.01 = 0.6719
362.5 x 0.001= 0.3625 20.25 x 0.001= 0.02025
6.7 x 0.1 = 0.67 3.5 x 0.01 = 0.035
5.6 x 0.001 = 0.0056.

Solution to problem 2 on page 60 of Math Grade 5 textbook, Practice

In Chapter II, we get acquainted with decimal numbers, where the concept of decimal numbers is widely used. Let's refer to Solving exercises on page 34, 35 of Math Grade 5 textbook for better understanding of Math for 5th grade.

Solution to exercise 3 on page 60 of Math Grade 5 textbook, Practice

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