Buzz
Comprehensive document for solving 4th-grade math on page 149 with detailed answers and explanations for exercises 1, 2, 3, 4, 5 in the textbook. Assisting students in reviewing and solving exercises related to ratios, finding two numbers when given their sum and ratio. The clear, scientifically detailed presentation of each step also helps teachers and parents discover effective and interesting teaching methods to enhance the learning efficiency of 4th-grade math for their children.
=> Refer to 4th-grade math solutions here: 4th-grade math solutions
Guide to solving 4th-grade math on page 149 with focused practice (Including solution methods)
1. Solve 4th-grade math on page 149 with focused practice, problem 1
Problem:
Write the ratio of a to b, knowing:
a) a = 3, b = 4
b) a = 5m, b = 7m
c) a = 12kg, b = 3 kg
d) a = 6l, b = 8l
Solution Method:
The ratio of a to b is represented as a:b or a/b (where b is not equal to 0).
Answer:
a) The ratio of a to b is: 3/4
b) The ratio of a to b is: 5/7
c) The ratio of a to b is: 12/3 = 4
d) The ratio of a to b is: 6/8 = 3/4
2. Solve 4th-grade math on page 149 with focused practice, problem 2
Problem:
Solution Method:
- Step 1: Illustrate the solution with a diagram divided into equal parts
- Step 2: Find the total number of equal parts
- Step 3: Determine the value of 1 part by dividing the sum of the two numbers by the total number of equal parts
- Step 4: Find the smaller number (multiply the value of one part by the number of parts of the smaller number)
- Step 5: Find the larger number (subtract the smaller number from the sum of the two numbers)
Answer:
3. Solve 4th-grade math on page 149 with focused practice, problem 3
Problem:
Two numbers have a sum of 1080. Find the two numbers, knowing that the second number is 7 times the first number.
Solution Method:
- Step 1. Illustrate: Let the first number be 1 part, then the second number is 7 parts.
- Step 2. Find the total number of equal parts
- Step 3. Determine the value of 1 part by dividing the sum of the two numbers by the total number of equal parts
- Step 4: Find the value of the first number by multiplying the total number of equal parts by 1, find the value of the second number by multiplying the total number of equal parts by 7
Answer:
Based on the problem, the first number is 1/7 of the second number. Thus, we have the following diagram:
According to the diagram, the total number of equal parts is: 1 + 7 = 8 (parts)
The first number is: 1080 : 8 = 135
The second number is: 135 x 7 = 945
Answer: First number: 135
Second number: 945
Problem 4: Solve 4th-grade math on page 149 with focused practice
Problem:
A rectangle has a half-perimeter of 125m, where its width is 2/3 of its length. Find the length and width of the rectangle.
Solution Method:
- Step 1: Illustrate the problem: According to the given information, the rectangle has a width equal to 2/3 of its length. Therefore, if the width is represented by 2 parts, the length will be 3 parts.
- Step 2: Determine the total number of equal parts
- Step 3: Determine the width and length of the rectangle according to the corresponding diagram.
Answer:
According to the diagram, the total number of equal parts is: 2 + 3 = 5 parts
The width of the rectangle is: 125 : 5 x 2 = 50 (m)
The length of the rectangle is: 125 – 50 = 75 (m)
Answer: Length: 75 m; Width: 50 m.
Guidance for solving 4th-grade math problems on page 149 - Concise practice
"""-- END """"
In the solution for the 4th-grade math problems on page 149, students will review the concepts of the sum of two numbers and the ratio of two numbers. They will also learn how to solve problems to find two numbers when given the sum and ratio of those numbers, from question 1 to question 5. Through this, students can easily tackle exercises related to finding two numbers when knowing their sum and ratio.
After the guidance on Math 4 page 149 in the textbook, Concentrated practice, students are invited to refer to the section Solving 4th-grade math problems on page 149 - Concentrated practice that has been pre-solved or preview the section Solving 4th-grade math problems on page 151 to enhance their understanding of 4th-grade Math.
