Answer :
To estimate and calculate [tex]\( 10.1 \div 0.2 \)[/tex], let's follow these steps:
1. Understanding the Problem: We need to divide 10.1 by 0.2. This means we are trying to find out how many 0.2 units fit into 10.1.
2. Simplify the Division: A helpful technique for division involving decimals is to eliminate the decimal points by multiplying both numbers by the same factor. In this case, we can multiply both the dividend (10.1) and the divisor (0.2) by 10 to make them whole numbers.
[tex]\[
\text{10.1} \times 10 = 101
\][/tex]
[tex]\[
\text{0.2} \times 10 = 2
\][/tex]
Now, the problem becomes [tex]\( 101 \div 2 \)[/tex].
3. Perform the Division: Dividing 101 by 2 gives:
[tex]\[
101 \div 2 = 50.5
\][/tex]
4. Estimate the Result: The estimated quotient of [tex]\( 10.1 \div 0.2 \)[/tex] is approximately 50.5. This is close to the number given, 50.49999999999999, which by practical purposes rounds to 50.5.
Therefore, the estimated quotient of [tex]\( 10.1 \div 0.2 \)[/tex] is 50.5.
1. Understanding the Problem: We need to divide 10.1 by 0.2. This means we are trying to find out how many 0.2 units fit into 10.1.
2. Simplify the Division: A helpful technique for division involving decimals is to eliminate the decimal points by multiplying both numbers by the same factor. In this case, we can multiply both the dividend (10.1) and the divisor (0.2) by 10 to make them whole numbers.
[tex]\[
\text{10.1} \times 10 = 101
\][/tex]
[tex]\[
\text{0.2} \times 10 = 2
\][/tex]
Now, the problem becomes [tex]\( 101 \div 2 \)[/tex].
3. Perform the Division: Dividing 101 by 2 gives:
[tex]\[
101 \div 2 = 50.5
\][/tex]
4. Estimate the Result: The estimated quotient of [tex]\( 10.1 \div 0.2 \)[/tex] is approximately 50.5. This is close to the number given, 50.49999999999999, which by practical purposes rounds to 50.5.
Therefore, the estimated quotient of [tex]\( 10.1 \div 0.2 \)[/tex] is 50.5.
