The image depicts a mathematical problem-solving scenario where two calculations are presented. Let's solve both problems step by step.
---
Problem 1:
$$
5 \times 35 \div \frac{1}{2} \times 7 =
$$
#### Step-by-Step Solution:
1.
Start with the multiplication and division from left to right (following the order of operations):
- First, calculate \( 5 \times 35 \):
$$
5 \times 35 = 175
$$
2.
Next, divide by \( \frac{1}{2} \):
- Dividing by \( \frac{1}{2} \) is equivalent to multiplying by its reciprocal, which is 2:
$$
175 \div \frac{1}{2} = 175 \times 2 = 350
$$
3.
Finally, multiply by 7:
- Now, multiply the result by 7:
$$
350 \times 7 = 2450
$$
#### Final Answer for Problem 1:
$$
\boxed{2450}
$$
---
Problem 2:
$$
9.2 \times 8.9 =
$$
#### Step-by-Step Solution:
1.
Multiply the numbers as if they were whole numbers:
- Ignore the decimal points initially and multiply \( 92 \times 89 \):
$$
92 \times 89 = 8188
$$
2.
Count the total number of decimal places in the original numbers:
- The number \( 9.2 \) has 1 decimal place.
- The number \( 8.9 \) has 1 decimal place.
- Total decimal places = \( 1 + 1 = 2 \).
3.
Place the decimal point in the product:
- Since there are 2 decimal places in total, place the decimal point in \( 8188 \) such that there are 2 digits after the decimal point:
$$
9.2 \times 8.9 = 81.88
$$
#### Final Answer for Problem 2:
$$
\boxed{81.88}
$$
---
Summary of Answers:
1. \( 5 \times 35 \div \frac{1}{2} \times 7 = \boxed{2450} \)
2. \( 9.2 \times 8.9 = \boxed{81.88} \)
These solutions follow the standard rules of arithmetic, including the order of operations and proper handling of decimals.
Parent Tip: Review the logic above to help your child master the concept of kumon math test.
