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While subtracting тИТ2 from 10тИТ3тАЛ, the resultant value is:
1107тАЛ
1103тАЛ
154тАЛ
153тАЛ
1107тАЛ
Subtracting a negative is the same as adding a positive; convert -2 to a fraction with a denominator of 10, which is -20/10, then add to -3/10 to get 17/10.
We need to subtract -2 from -3/10.
Result=10тИТ3тАЛтИТ(тИТ2)
Subtracting a negative is the same as adding a positive; convert -2 to a fraction with a denominator of 10, which is -20/10, then add to -3/10 to get 17/10.
Many students subtract 2 instead of adding 2, or incorrectly calculate the sign of the result by ignoring that subtracting a negative value results in addition.
Set up the subtraction
The operation is 'subtract -2 from -3/10', which is written as:
10тИТ3тАЛтИТ(тИТ2)
Simplify the signs
Subtracting a negative number is equivalent to adding a positive number:
10тИТ3тАЛ+2
Find common denominator
Convert 2 to a fraction with a denominator of 10:
2=1020тАЛ
Perform the addition
Add the fractions:
10тИТ3тАЛ+1020тАЛ=1017тАЛ
Convert to mixed fraction
Convert 17/10 to a mixed number:
1017тАЛ=1107тАЛ
A is correct because the result of the calculation 10тИТ3тАЛ - (-2) simplifies to 1107тАЛ.
Understanding operations with negative fractions is fundamental for algebra, where variables often replace numbers in these exact formats.
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