Solve the exercises on pages 147 and 148 in the Math 5 textbook.

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Solving Exercise 5 on pages 147 and 148 in the Math 5 textbook, focusing on reviewing natural numbers. Find the suitable digits for filling in the blanks.

Solution Guide for Exercise 5 on pages 147 and 148 in the Math 5 textbook

Problem:
Find the appropriate digits to complete the following:
a) ...43 divisible by 3;
b) 2...7 divisible by 9;
c) 81... divisible by both 2 and 5;
d) 46... divisible by both 3 and 5.

Solution Approach:
- Divisibility indicator for 3: The sum of the digits must be divisible by 3 => The number is divisible by 3.
- Divisibility indicator for 9: The sum of the digits must be divisible by 9 => The number is divisible by 9.
- Divisibility indicator for both 2 and 5: The last digit is 0 => The number is divisible by both 2 and 5.
- Divisibility indicator for both 3 and 5: The sum of the digits must be divisible by 3 and the last digit is 5 => The number is divisible by both 3 and 5.

Answer:
a) ....43 is divisible by 3, so ....+ 4 + 3 = .... + 7 is divisible by 3. Therefore, the blank can be filled with one of the digits: 2, 5, 8.
b) Similarly, 2 + ....+ 7 = 9 +.... is divisible by 9. Therefore, the blank can be filled with 0 or 9.
c) For 81..., to be divisible by both 2 and 5, ... must be 0. Therefore, write 0 in the blank.
d) Since 46.... is divisible by 5, .... can be 0 or 5.
- If .... is 0, then 4 + 6 + 0 = 10 is not divisible by 3: reject.
- If .... is 5, then 4 + 6 + 5 = 15 is divisible by 3: select.
Therefore, write the digit 5 in the blank.

Here is the solution guide for Exercise 5 on page 148 in the Math 5 textbook, focusing on concentrated practice. Additionally, this section contains 4 more exercises: Solve Exercise 1 on pages 147 and 148 in Math 5, Solve Exercise 2 on pages 147 and 148 in Math 5, Solve Exercise 3 on pages 147 and 148 in Math 5, and Solve Exercise 4 on pages 147 and 148 in Math 5. Let's explore the solution guide for Math Grade 5 pages 147, 148 to excel in the subject of Math Grade 5.

Frequently Asked Questions

What are the divisibility rules for numbers in the Math 5 textbook?

The divisibility rules for numbers in the Math 5 textbook include: for divisibility by 3, the sum of the digits must be divisible by 3; for 9, it must be divisible by 9; for both 2 and 5, the last digit must be 0; and for both 3 and 5, the sum of the digits must be divisible by 3 while the last digit must be 5.

How do you determine suitable digits for filling in blanks in Exercise 5?

To determine suitable digits for filling in the blanks in Exercise 5, apply the divisibility rules. For example, for ...43 to be divisible by 3, you can fill the blank with 2, 5, or 8, ensuring that the sum of digits remains divisible by 3.

What is the solution for 81... to be divisible by both 2 and 5?

For 81... to be divisible by both 2 and 5, the blank must be filled with 0, as it is the only digit that ensures the number ends with 0, satisfying the condition for divisibility by both 2 and 5.

Which digit can be placed in 46... to maintain divisibility by 3 and 5?

In 46..., the blank can be filled with either 0 or 5. However, filling it with 5 satisfies both conditions: the last digit is 5 for divisibility by 5, and the sum of digits becomes 15, which is divisible by 3.

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