Exercises 1, 2, 3, 4, and 5 in part 1 and 1, 2 in part 2 of Math 4 exercise book pages 117, 118, 119 Workbook 2 are all guided solutions in the document Solving 4th-grade math problems from pages 117, 118, 119 in VBT workbook 2, Self-assessment, Exercise 175. Please refer to them to see the method and reinforce your knowledge after learning.
Solving Grade 4 Math Problems Pages 117, 118, 119 VBT Workbook 2, Self-assessment, Exercise 175
Part 1 - 1. Solve exercise 1 - Math exercise book for 4th grade Workbook 2 page 117
Question:
The value of the digit 8 in the number 985,672 is:
A. 8
B. 800
C. 8000
D. 80,000
Solving Method
Identify the place value of the digit 8 and then determine its value.
Answer
The digit 8 in the number 985,672 belongs to the ten-thousands place, so the value of the digit 8 in the number 985,672 is 80,000.
Choose answer D.
Part 1 - 2. Solve exercise 2 - Math exercise book for 4th grade Workbook 2 page 117
Question:
Which 3/5 of the circles have been highlighted?
Solving Method
Determine the fraction representing the portion of each circle that has been highlighted: the fraction representing the highlighted portion has the numerator as the number of colored cells and the denominator as the total number of equal cells.
Answer
Figure A has highlighted 3/5 of the circles
Figure B has highlighted 1/2 of the circles
Figure C has highlighted 3/4 of the circles
Figure D has highlighted 1 circle
Choose answer A
Part 1 - 3. Solve exercise 3 - Math exercise book for 4th grade Workbook 2 page 118
Question:
Perform addition: 4/5 + 4/5. Which calculation method is correct?
Solving Method
To add two fractions with the same denominator, add the numerators together and keep the denominator unchanged.
Answer
Circle C.
Part 1 - 4. Solve exercise 4 - Math exercise book for 4th grade Workbook 2 page 118
Question:
Which fraction is equivalent to 5/6?
Choose B
Choose B
Choose C
Choose D
Apply the basic property of fractions: If both the numerator and denominator of a fraction are multiplied by the same natural number other than 0, the result is a fraction equivalent to the given fraction.
Choose B
Choose B
Choose B
Part 1 - 5. Solve exercise 5 - Math exercise book for 4th grade Workbook 2 page 118
Question:
A rectangular classroom has a width of about
A. 5 decimeters
B. 50 meters
C. 5 millimeters
D. 5 meters
Solving Method
Based on practical knowledge to predict the width of the rectangular classroom.
Answer
To measure the width of the classroom, people usually use the meter unit.
So a rectangular classroom has a width of about 5 meters.
Choose D.
Part 2 - 1. Solve exercise 1 - Math exercise book for 4th grade Workbook 2 page 118
Question:
Calculate:
Solution Method
- To subtract two fractions with different denominators, we first find a common denominator for the two fractions, then subtract them after having a common denominator.
- To multiply two fractions, multiply the numerators together and the denominators together.
- If an expression involves both addition and division, perform the division first, then perform the addition.
Answer
Part 2 - 2. Solve Exercise 2 - Math Exercise Book for 4th Grade Workbook 2 Page 119
Question:
A rectangular piece of land has a half perimeter of 64 meters, with the width being 3/5 of the length. Calculate the area of that piece of land.
Solving Method
1. Diagram: consider the width as consisting of 3 equal parts, then the length consists of 5 parts accordingly.
2. Find the total number of equal parts.
3. Find the value of 1 part by dividing the sum of two numbers by the total number of equal parts.
4. Find the length (multiply the value of one part by the number of parts representing the length).
5. Find the width (subtract the length from half of the perimeter, ...).
6. Find the area = length x width.
Note: Steps 3 and 4 can be combined into one step; you can find the width first and then find the length afterward.
Solution
According to the problem, the total number of equal parts:
3 + 5 = 8 (parts)
The length of the plot of land is:
The width of the plot of land is:
64 : 8 x 5 = 40 (m)
The width of the plot of land is:
64 - 40 = 24 (m)
The area is calculated as follows:
40 x 24 = 960 (m2)
Answer: 960 m2
