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Solve the following integer and common fraction problems showing all steps: -23 - (-18), 2(8-3+4), 33 + 42 - 52, sqrt(9) + 16 + 7, (-6+3(-4)-3(4))/((2+3)(-3)), and 10 divided by 5/8.
Mathematics
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22 stepsHere are the solutions to your questions:
3. INTEGERS
Part 3.1· 2 steps
Calculate the following and show all the steps:
Simplify the double negative.
Perform the addition.
The result is .
Part 3.2· 2 steps
Perform the operations inside the parenthesis.
Perform the multiplication.
The result is .
Part 3.3· 3 steps
Calculate the powers.
Substitute the values back into the expression.
Perform addition and subtraction from left to right.
The result is .
Part 3.4· 2 steps
Calculate the square root.
Perform the additions from left to right.
The result is .
Part 3.5· 3 steps
Calculate the numerator.
Calculate the denominator.
Divide the numerator by the denominator.
The result is .
4. COMMON FRACTIONS
Part 4.1· 3 steps
Calculate:
Convert division to multiplication by the reciprocal of the fraction.
Multiply the numbers.
Simplify the fraction.
The result is .
Part 4.2· 2 steps
Simplify:
Take the square root of the numerator and the denominator separately.
Calculate the square roots.
The simplified expression is .
Part 4.3· 3 steps
Simplify:
Calculate the cube root of the first term.
Calculate the square of the second term.
Add the two fractions.
Find a common denominator, which is 12.
The simplified expression is .
Part 4.4· 2 steps
Determine the percentage decrease if a chocolate that cost R10 is marked down to R7.
Calculate the amount of decrease.
Calculate the percentage decrease using the formula
.
The percentage decrease is .
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