Answer :

Sure! Let's multiply [tex]\( 5.8 \)[/tex] by [tex]\( 1.69 \)[/tex] step by step.

1. First, ignore the decimal points and multiply the numbers as if they were whole numbers:
- [tex]\( 58 \times 169 \)[/tex]

2. Multiply:
- Let's break it down:
- [tex]\( 58 \times 169 = 58 \times (100 + 60 + 9) \)[/tex]
- [tex]\( 58 \times 100 = 5800 \)[/tex]
- [tex]\( 58 \times 60 = 3480 \)[/tex]
- [tex]\( 58 \times 9 = 522 \)[/tex]
- Now, add these results together:
- [tex]\( 5800 + 3480 + 522 = 9802 \)[/tex]

3. Now, count the total number of decimal places in the original numbers:
- [tex]\( 5.8 \)[/tex] has 1 decimal place.
- [tex]\( 1.69 \)[/tex] has 2 decimal places.
- Together, they have [tex]\( 1 + 2 = 3 \)[/tex] decimal places.

4. Place the decimal point in the result to get 3 decimal places:
- [tex]\( 9802 \)[/tex] becomes [tex]\( 9.802 \)[/tex] when you move the decimal point three places to the left.

So, the answer is [tex]\( 9.802 \)[/tex].

Therefore, [tex]\( 5.8 \times 1.69 = 9.802 \)[/tex].

The correct answer is:
D) 9.802

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Rewritten by : Barada