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Answer :
To solve the division problem [tex]\(3.6 \div 100.8\)[/tex], we can follow these steps:
1. Understand the Division: We are dividing 3.6 by 100.8. This is asking how many times 100.8 fits into 3.6.
2. Set Up the Division: Treat this as a simple division problem. It's similar to long division, where you'll determine how many times the divisor (100.8) fits into the dividend (3.6).
3. Division Process:
- Think of the numbers in terms of their decimal placements. Since we are dividing two decimal numbers, it might be easier to deal with whole numbers by moving the decimal places.
- To get there, multiply both the dividend and the divisor by 10 (or a suitable power of 10) to make both numbers whole. Here, multiplying by 10 changes the division to [tex]\(36 \div 1008\)[/tex].
4. Perform the Division:
- [tex]\(36 \div 1008\)[/tex] can be seen as the fraction [tex]\(\frac{36}{1008}\)[/tex].
- Reduce the fraction if possible to simplify the problem. In this case, since both 36 and 1008 are divisible by 12, simplifying the fraction gives us [tex]\(\frac{3}{84}\)[/tex].
- Divide the numbers to get the result as a decimal value.
5. Result:
- When you divide 3 by 84, you get approximately 0.03571428571428571.
- So, 3.6 divided by 100.8 equals approximately 0.0357 when rounded to four decimal places.
Therefore, the result of [tex]\(3.6 \div 100.8\)[/tex] is approximately 0.0357.
1. Understand the Division: We are dividing 3.6 by 100.8. This is asking how many times 100.8 fits into 3.6.
2. Set Up the Division: Treat this as a simple division problem. It's similar to long division, where you'll determine how many times the divisor (100.8) fits into the dividend (3.6).
3. Division Process:
- Think of the numbers in terms of their decimal placements. Since we are dividing two decimal numbers, it might be easier to deal with whole numbers by moving the decimal places.
- To get there, multiply both the dividend and the divisor by 10 (or a suitable power of 10) to make both numbers whole. Here, multiplying by 10 changes the division to [tex]\(36 \div 1008\)[/tex].
4. Perform the Division:
- [tex]\(36 \div 1008\)[/tex] can be seen as the fraction [tex]\(\frac{36}{1008}\)[/tex].
- Reduce the fraction if possible to simplify the problem. In this case, since both 36 and 1008 are divisible by 12, simplifying the fraction gives us [tex]\(\frac{3}{84}\)[/tex].
- Divide the numbers to get the result as a decimal value.
5. Result:
- When you divide 3 by 84, you get approximately 0.03571428571428571.
- So, 3.6 divided by 100.8 equals approximately 0.0357 when rounded to four decimal places.
Therefore, the result of [tex]\(3.6 \div 100.8\)[/tex] is approximately 0.0357.
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