Answer :
Sure! Let's find the product of [tex]\( 10.7 \times 35.9 \)[/tex].
Here’s a step-by-step approach to solve the problem:
1. Understand the multiplication of decimal numbers:
- We are multiplying two decimal numbers: 10.7 and 35.9.
2. Set up the multiplication:
- We can write the numbers one below the other aligning the decimal points:
```
10.7
× 35.9
```
3. Ignore the decimal points temporarily:
- Treat the numbers as [tex]\( 107 \)[/tex] and [tex]\( 359 \)[/tex].
4. Multiply the numbers as if they are whole numbers:
- Perform the multiplication of 107 and 359:
```
107
× 359
__________
963 (107 9)
7490 (107 50)
32100 (107 * 300)
__________
38413 <- Sum of these partial products
```
5. Place the decimal point in the product:
- Count the total number of decimal places in the original numbers (10.7 has 1 decimal place, and 35.9 has 1 decimal place for a total of 2 decimal places).
- Place the decimal point in the product so that it has 2 decimal places:
```
384.13
```
Therefore, the product of [tex]\( 10.7 \times 35.9 \)[/tex] is [tex]\( 384.13 \)[/tex].
However, the more precise result from our previous calculation yields [tex]\( 384.12999999999994 \)[/tex]. But for simplicity and practical purposes, it would often be rounded to [tex]\( 384.13 \)[/tex].
So, the final answer is:
[tex]\[ 10.7 \times 35.9 = 384.13 \][/tex]
Here’s a step-by-step approach to solve the problem:
1. Understand the multiplication of decimal numbers:
- We are multiplying two decimal numbers: 10.7 and 35.9.
2. Set up the multiplication:
- We can write the numbers one below the other aligning the decimal points:
```
10.7
× 35.9
```
3. Ignore the decimal points temporarily:
- Treat the numbers as [tex]\( 107 \)[/tex] and [tex]\( 359 \)[/tex].
4. Multiply the numbers as if they are whole numbers:
- Perform the multiplication of 107 and 359:
```
107
× 359
__________
963 (107 9)
7490 (107 50)
32100 (107 * 300)
__________
38413 <- Sum of these partial products
```
5. Place the decimal point in the product:
- Count the total number of decimal places in the original numbers (10.7 has 1 decimal place, and 35.9 has 1 decimal place for a total of 2 decimal places).
- Place the decimal point in the product so that it has 2 decimal places:
```
384.13
```
Therefore, the product of [tex]\( 10.7 \times 35.9 \)[/tex] is [tex]\( 384.13 \)[/tex].
However, the more precise result from our previous calculation yields [tex]\( 384.12999999999994 \)[/tex]. But for simplicity and practical purposes, it would often be rounded to [tex]\( 384.13 \)[/tex].
So, the final answer is:
[tex]\[ 10.7 \times 35.9 = 384.13 \][/tex]
