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image_path = '/mnt/data/1735905718699o8g67avk.jpg' image = Image.open(image_path)

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Exercise 1:

Read out the following operations, and for every operation name each number's function.
a. $1,209 + 118 = 1,327$
b. $135 + (-132) = 3$
c. $2 - (-25) = 27$
d. $52 - 65 = -13$
e. $9 \times 26 = 234$
f. $-111 \times 99 = -10,989$
g. $36 \div 9 = 4$
h. $1375 \div (-25) = -55$

Exercise 2:

Fill the blank spaces with the right words.
a. The ___ of three and seven is twenty-one.
b. The operation that uses the symbol $-$ is called ___.
c. 14 is the ___ of 13, and the predecessor of 13 is ___.
d. The result of division is called ___.
e. Three multiplied by five equals ___.
f. In $123,456,789$, the hundred thousands digit is ___, and 9 is the ___.
g. We select a number $htu$, as $100h + 10t + u$, where $h$ represents the ___, $t$ represents the ___, and $u$ represents the ___ digit.
h. When we ___ two numbers, for example, seven plus thirteen, the answer (twenty) is called ___.

Exercise 3:

Read out the following fractions.
a. $\frac{2}{5}$
b. $\frac{3}{4}$
c. $\frac{5}{8} + \frac{5}{4} = \frac{32}{8}$
d. $2 \frac{1}{2} - \frac{9}{2} = 3 \frac{2}{5}$
e. $\frac{1}{9} + \frac{1}{8} = \frac{17}{24}$
f. $13,945,614$
g. $43.554$
h. $6.9 \times 2.2 = 15.18$
i. $72.4 \times 61.5 = 4452.62$

Exercise 4:

Fill the blank spaces with the right words.
a. In the fraction seven ninths, ___ is the numerator, and ___ is the denominator.
b. The ___ of two-thirds and a half is four over three.
c. An integer plus a fraction makes a ___.

Exercise 5:

Read the following conversation.
A: I have two numbers, 36 and 42. Can you say their factors?
B: The factors of 36 are $1, 2, 3, 4, 6, 9, 12, 24,$ and $36$. The factors of 42 are $1, 2, 3, 6, 7, 14, 21,$ and $42$.
A: So, what are their common factors?
B: They are $1, 2, 3,$ and $6$.
A: And what is the greatest common divisor of 36 and 42?
B: It's $6$.

Make a small conversation about GCD or LCM of other numbers.

Would you like me to solve any specific section, provide answers, or clarify any part? Let me know!

Relative Questions:

1. What is the importance of understanding operations and their properties?
2. How do you determine the greatest common divisor (GCD) efficiently?
3. Why is understanding fractions critical in mathematics?
4. Can you explain the concept of place value in numbers like $123,456,789$?
5. How do we convert between mixed fractions and improper fractions?

Tip:

When solving word problems involving operations, always identify the key terms (e.g., "sum," "product," "difference") to determine the correct mathematical operation.