Divide. Also, estimate to see if the answer is reasonable.
$5.2 \overline{)37.44}$
Answer (2)
Estimate the quotient by rounding: 37.44 ≈ 35 and 5.2 ≈ 5 , so 35 ÷ 5 = 7 .
Perform the division: 37.44 ÷ 5.2 = 7.2 .
Compare the actual quotient with the estimated quotient to check for reasonableness.
The result of the division is 7.2 .
Explanation
Setting up the problem We need to divide 37.44 by 5.2 and then estimate to check if our answer is reasonable. Let's start by setting up the division problem:
Estimating the quotient To estimate, we can round the numbers to make the division easier. Round 5.2 to 5 and 37.44 to 35. Now we can estimate the result of the division:
Calculating the estimated quotient The estimated quotient is: 35 ÷ 5 = 7
Preparing for actual division Now, let's perform the actual division: 37.44 ÷ 5.2 . To make it easier, we can multiply both the dividend and the divisor by 10 to remove the decimal in the divisor: 37.44 ÷ 5.2 = 374.4 ÷ 52
Calculating the actual quotient Now we perform the division 374.4 ÷ 52 . The result of this division is 7.2.
Checking for reasonableness Now, let's compare the actual quotient (7.2) with the estimated quotient (7). They are very close, so our answer is reasonable.
Final Answer Therefore, the result of the division 37.44 ÷ 5.2 is 7.2 .
Examples
In real life, you might use division with decimals when splitting a bill at a restaurant. For example, if the total bill is $37.44 and you are splitting it among 5.2 people (5 adults and one child who eats half portion), you would divide $37.44 by 5.2 to find out how much each person owes. Estimating beforehand helps ensure the calculated split is fair and reasonable.
We estimated the division of 37.44 by 5.2 by rounding to get a quotient of about 7. The actual division calculated to 7.2, which is close to our estimate and confirms it's reasonable. Thus, the answer is 7.2.
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