Solving exercises on pages 66 and 67 of Math 4 textbook

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Step-by-step guide for solving exercises on pages 66 and 67 Math 4 including the solution method

1. Solve Exercise 1 on pages 66 and 67 in Math 4 textbook

Solution Method:
- Replace the given numbers into the positions of a, b, c in both expressions, calculate to find the correct result
- Note: a x (b + c) = a x b + a x c

2. Solve Exercise 2 on pages 66 and 67 in Math 4 textbook

Problem:
a) Calculate in two ways:
36 x (7 + 3);
207 x (2 + 6)
b) Calculate in two ways (following the example):
Example: 38 x 6 + 38 x 4 = ?
Method 1: 38 x 6 + 38 x 4 = 228 + 152 = 380
Method 2: 38 x 6 + 38 x 4 = 38 x (6 + 4) = 38 x 10 = 380
5 x 38 + 5 x 62; 135 x 8 + 135 x 2

Solution Method:
Apply the knowledge: a x (b + c) = a x b + a x c; calculate carefully to find the most accurate result.

Problem:
Calculate and compare the values of the expressions:
(3 + 5) x 4 and 3 x 4 + 4 x 5
Based on the comparison result, explain how to multiply a sum by a number.

Solution Method:
- For expressions with parentheses, perform calculations inside the parentheses first, outside the parentheses later.
- For expressions involving both addition and multiplication, perform multiplication first, addition later.

Answer:
a has: (3 + 5) x 4 = 8 x 4 = 32
3 x 4 + 4 x 5 = 12 + 20 = 32
The two expressions have equal values, meaning (3 + 5) x 4 = 3 x 4 + 4 x 5.
When multiplying a sum by a number, you can multiply each term of the sum by that number and then add the results.

4. Solve Exercise 4 on pages 66 and 67 in Math 4 textbook

Solution Method:
- Step 1: Break down 11 into the sum of 10 and 1; similarly, break down 101 into the sum of 100 and 1
- Step 2: Apply the calculation method: a x (b + c) = a x b + a x c

Answer:
a) 26 x 11 = 26 x (10 + 1)                                                      b) 213 x 11 = 213 x (10 +1)
= 26 x 10 + 26 x 1                                                                 = 213 x 10 + 213 x 1
= 260 + 26 = 286                                                                   = 2130 + 213 = 2343

Here is the solution for exercises on pages 66, 67 Math 4 in the math exercise section for 4th grade. Students can review the solution for exercises on page 65 Math 4 that was solved earlier or preview the solution for exercises on pages 67, 68 Math 4 to enhance their understanding of Math Grade 4

For further concentration in the next practice, students will need to practice various types of exercises such as Solving Math 4 page 36, 37, Further Concentration Practice as well as Solving Math 4 page 33, 34, Chart Practice according to the Concentration Practice textbook.