Comprehensive guide to solving grade 4 math exercises on pages 176, 177. Detailed solutions including solving methods and answers to help students review concepts such as reading statistical data tables, finding three consecutive natural numbers knowing their sum, fraction operations, finding unknowns, ratio difference problems, and more.
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Guidance for Solving Grade 4 Math on Pages 176, 177 (Including Solution Methods)
1. Exercise 1: Solving Grade 4 Math on Pages 176, 177
Problem:
The areas of four provinces (according to 2003 data) are given in the following table:
List the provinces in order of decreasing area.
Solution Method:
- Compare the representative values for the area measurements and arrange them in ascending order
Answer:
The provinces are arranged in the table in ascending order as follows: Dak Lak, Gia Lai, Lam Dong, Kon Tum.
2. Exercise 2: Solving Grade 4 Math on Pages 176, 177
Problem:
Calculate:
Solution Method:
- Apply the rule for evaluating expression values:
+ If the expression involves addition, subtraction, multiplication, or division of fractions, perform the operations from left to right
+ If the expression involves addition, subtraction, multiplication, and division of fractions, perform the calculations according to the rule of multiplication and division first, followed by addition and subtraction
+ To add (subtract) fractions with the same denominator, add (subtract) the numerators while keeping the denominator unchanged. To add (subtract) fractions with different denominators, make the denominators equivalent before adding (subtracting) the fractions.
+ To multiply fractions, multiply the numerators by the numerators and the denominators by the denominators; to divide fractions, divide the dividend by the reciprocal of the divisor.
Answer:
3. Exercise 3: Grade 4 Math Concentrated Practice on Pages 176, 177
Problem:
Find x:
Solution Method:
- To find x, students need to use the following knowledge:
+ To find the subtracted number, take the minuend + the difference of the two numbers
+ To find the divisor, take the dividend divided by the quotient
Answer:
4. Exercise 4: Grade 4 Math Concentrated Practice on Pages 176, 177
Problem:
Find three consecutive natural numbers whose sum is 84.
Solution Method:
- Step 1: Consecutive natural numbers are usually spaced 1 unit apart. Thus, we can visualize it as follows: Consider the first number (the smallest) as a segment, then the second natural number will be 1 unit greater than the first number, and the third natural number will be 2 units greater than the first number.
- Step 2: Calculate the value of the first number = (Sum of three numbers - 3)/3
- Step 3: Calculate the values of the second number, third number based on the value of the first number
Answer:
Additional Note: It can also be solved as follows:
Observation: The average of three consecutive natural numbers is the middle number.
The middle number of those three natural numbers is:
84 ÷ 3 = 28
Those three numbers are: 27, 28, and 29.
5. Exercise 5: Grade 4 Math Concentrated Practice on Pages 176, 177, SGK
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Thus, we have explored the solutions and methods to solve exercises 1, 2, 3, 4, 5 in the 4th-grade math textbook pages 176, 177 collectively. Next, you can refer to exercises in the 4th-grade math textbook page 177 for focused practice or review exercises in 4th-grade math textbook page 176 to consolidate knowledge and enhance problem-solving skills efficiently.
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