Solving Exercises on Page 68 of Grade 5 Mathematics Workbook, Practice

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Solving exercises on page 68 of Grade 5 Mathematics Workbook, Practice - Including solving methods
Solving exercise 1 on page 68 of Grade 5 Mathematics Workbook, Practice
Problem statement: 
Calculate:
a) 5.9 : 2 + 13.06;                                b) 35.04 : 4 - 6.87;
c) 167 : 25 : 4;                                     d) 8.76 x 4 : 8.

Solution method:
- For expressions involving only addition and subtraction or multiplication and division: Perform the calculation from left to right.
- For expressions containing both multiplication/division and addition/subtraction: Perform multiplication/division first, then addition/subtraction.

Answers:
a) 5.9 : 2 + 13.06                            b) 35.04 : 4 - 6.87
= 2.95 + 13.06                                     = 8.76 - 6.87
= 16.01                                                = 1.89
c) 167 : 25 : 4                                 d) 8.76 x 4 : 8
= 6.68 : 4                                             = 35.04 : 8
= 1.67                              &strong;                                               = 4.38.

Solve exercise 2 on page 68 of the 5th-grade math textbook
Problem:
Calculate and compare the results:
a) 8.3 x 0.4 and 8.3 x 10 : 25;
b) 4.2 x 1.25 and 4.2 x 10 : 8;
c) 0.24 x 2.5 and 0.24 x 10 : 4.

Solution method:
Students perform calculations as usual. If the expression contains both multiplication and division, perform the calculation from left to right. Afterward, compare the two results of the two calculations just performed and draw a conclusion.

Answers:
a) 8.3 x 0.4 = 3.32
    8.3 x 10 : 25 = 83 : 25 = 3.32
    Hence, 8.3 x 0.4 = 8.3 x 10 : 25
b) 4.2 x 1.25 = 5.25
   4.2 x 10 : 8 = 42 : 8 = 5.25
     Therefore, 4.2 x 1.25 = 4.2 x 10 : 8
c) 0.24 x 2.5 = 0.6
    0.24 x 10 : 4 = 2.4 : 4 = 0.6
    Hence, 0.24 x 2.5 = 0.24 x 10 : 4.

Solve exercise 3 on page 68 of the 5th-grade math textbook
Problem:
A rectangular piece of garden has a length of 24m, and its width is 2/5 of the length. Calculate the perimeter and area of the garden?

Solution method:
- The problem states: 
+ Length: 24 meters
+ Width: 2/5 of the length
- The problem requires: Calculate the perimeter and area of the garden
- How to solve:
+ First, find the width of the garden by multiplying the length (known) by 2/5.
+ Next, find the perimeter of the garden by applying the formula: Perimeter of a rectangle = (length + width) x 2.
+ Finally, find the area of the garden by applying the formula: Area of a rectangle = length x width.

Answers:
The width of the garden is:
24 x 2/5 = 9.6 (m)
The perimeter of the garden is:
(24 + 9.6 ) x 2 = 67.2 (m)
The area of the garden is:
24 x 9.6 = 230.4 (m²)
Final result: 67.2m; 230.4m².

Solve exercise 4 on page 68 of the 5th-grade math textbook
Problem:
In 3 hours, a motorbike travels 93 km. In 2 hours, a car travels 103 km. How many kilometers more does the car travel per hour compared to the motorbike?

Solution method:
- Step 1: Calculate the distance the motorbike travels in 1 hour by dividing the total distance traveled in 3 hours by 3.
- Step 2: Calculate the distance the car travels in 1 hour by dividing the total distance traveled in 2 hours by 2.
- Step 3: To find out how many kilometers more the car travels per hour than the motorbike, subtract the distance the motorbike travels in 1 hour from the distance the car travels in 1 hour.

Answers:
Each hour, the motorbike travels the distance of:
             93 : 3 = 31 km
Each hour, the car travels the distance of:
           103 : 2 = 51.5 km
Each hour, the car travels more than the motorbike by:
           51.5 - 31 = 20.5 km
            Answer: 20.5 km.

Solve exercise on page 68 of the 5th-grade math textbook, Practice - Concise

Solve exercise 1 on page 68 of the 5th-grade math textbook, Practice

Solve exercise 2 on page 68 of the 5th-grade math textbook, Practice

Solve exercise 3 on page 68 of the 5th-grade math textbook, Practice

In Chapter II, we acquaint ourselves with decimal numbers, where the concept of decimal numbers is extensively used. Check out the hints for solving exercises on page 34, 35 of the 5th-grade math textbook and view the math solutions on page 70 to excel in 5th-grade math.

Solve exercise 4 on page 68 of the 5th-grade math textbook, Practice

The division of a natural number resulting in a decimal is a concept that students have learned in the previous lesson. In the math solutions on page 68, students continue to review the theoretical knowledge as well as practice this type of problem through familiar exercises. The detailed hints and instructions here aim to help students easily solve the math exercises on page 68, obtaining decimal results for the quotient of dividing natural numbers. This preparation is for the upcoming lesson and practice in class. If unsure about their answers or facing difficulties with specific exercises, students can refer to our solutions. They can also find other relevant lessons in different articles.

Master the content of Subtracting two decimal numbers to enhance your problem-solving skills in math.

Here is the suggestion for solving exercises on page 68 of the 5th-grade math textbook, Practice, with detailed explanations. Prepare for the content on Dividing a natural number by a decimal through solving exercises on page 70 of the 5th-grade math textbook and the Practice section on page 70. This will help you excel in 5th-grade math.