The image you uploaded is a math worksheet titled
"Two-Digit Tenths by Two-Digit Tenths (E)". It involves multiplying decimal numbers with two digits after the decimal point. Below, I will explain how to solve these problems step by step using one of the examples from the worksheet.
---
Example Problem:
Let's take the first problem from the worksheet:
$$
0.1 \times 0.2
$$
#### Step-by-Step Solution:
1.
Ignore the Decimal Points Initially:
Treat the numbers as whole numbers for multiplication:
$$
1 \times 2 = 2
$$
2.
Count the Total Number of Decimal Places:
- The number \(0.1\) has
1 decimal place.
- The number \(0.2\) has
1 decimal place.
- Total decimal places = \(1 + 1 = 2\).
3.
Place the Decimal Point in the Product:
The product must have a total of 2 decimal places. So, we place the decimal point in the result "2" such that it has 2 decimal places:
$$
0.1 \times 0.2 = 0.02
$$
4.
Final Answer:
$$
0.1 \times 0.2 = 0.02
$$
---
General Method for Solving These Problems:
1.
Multiply the Numbers as Whole Numbers:
Ignore the decimal points and multiply the numbers as if they were whole numbers.
2.
Count the Total Decimal Places:
Add up the number of decimal places in both numbers being multiplied.
3.
Place the Decimal Point:
Place the decimal point in the product such that the total number of decimal places matches the sum calculated in step 2.
---
Additional Examples from the Worksheet:
Let's solve a few more problems from the worksheet to illustrate the method:
#### Example 2:
$$
0.7 \times 0.8
$$
- Multiply as whole numbers: \(7 \times 8 = 56\).
- Total decimal places: \(1 + 1 = 2\).
- Place the decimal point: \(0.7 \times 0.8 = 0.56\).
#### Example 3:
$$
0.9 \times 0.9
$$
- Multiply as whole numbers: \(9 \times 9 = 81\).
- Total decimal places: \(1 + 1 = 2\).
- Place the decimal point: \(0.9 \times 0.9 = 0.81\).
#### Example 4:
$$
0.4 \times 0.5
$$
- Multiply as whole numbers: \(4 \times 5 = 20\).
- Total decimal places: \(1 + 1 = 2\).
- Place the decimal point: \(0.4 \times 0.5 = 0.20\) (which can be simplified to \(0.2\)).
---
Final Answer:
The method described above can be applied to all the problems in the worksheet. If you need solutions for specific problems or further clarification, feel free to ask!
$$
\boxed{0.02}
$$ (for the first example)
Parent Tip: Review the logic above to help your child master the concept of double digit multiplication with decimals worksheet.
