Answer :
To solve the mathematical problems provided by the student, let's address each calculation one by one:
37.9 - 7.84
[tex]37.9 - 7.84 = 30.06[/tex]
Here, we are subtracting 7.84 from 37.9. Line up the decimal points and subtract each digit accordingly.
0.536 \times 10
[tex]0.536 \times 10 = 5.36[/tex]
To multiply by 10, simply move the decimal point one place to the right.
76.2 - 9847
[tex]76.2 - 9847 = -9770.8[/tex]
This subtraction results in a negative number because 76.2 is much smaller than 9847. Perform the subtraction to find the difference.
25.3 - 6.427
[tex]25.3 - 6.427 = 18.873[/tex]
Subtract 6.427 from 25.3 by aligning the decimal points and subtracting accordingly.
3.287 \times 20
[tex]3.287 \times 20 = 65.74[/tex]
Multiply the number by 20. You can first multiply by 2 and then by 10 or directly calculate to get the result.
9.7 \times 3.85
[tex]9.7 \times 3.85 = 37.345[/tex]
To multiply these two decimals, multiply them as whole numbers ignoring the decimal points initially, then place the decimal point in the product by counting the total number of decimal places from both numbers.
I hope this helps you understand how to work through these calculations step-by-step!