SAT Math › Elementary Operations
Evaluate the expression.
Follow the correct order of operations: parenthenses, exponents, multiplication, division, addition, subtraction.
First, evaluate any terms in parenthesis.
Next, evaluate the exponent.
Divide.
Finally, add.
Evaluate: .
Step 1: Recall PEMDAS...
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Step 2: Perform the evaluation in separate pieces...
Step 3: Replace the values and keep the signs..
Step 4: Evaluate:
Add:
To solve , make sure the digits are aligned with the correct placeholder. It is also possible to add term by term.
The correct answer is:
Add in modulo 7:
In modulo 7 arithmetic, a number is congruent to the remainder of its division by 7.
Therefore, since and
,
,
and the correct response is 3.
Evalute the expression:
Follow the correct order of operations: parentheses, exponents, multiplication, division, addition, subtraction. (This is typically abbreviated as PEMDAS. Note that both multiplication and division, and addition and subtraction, are equal to each other in terms of rank, so when both are present, solving the equation proceeds from left to right).
First, simplify anything in parentheses.
Next, simplify any terms with exponents.
Now, perform multiplication.
Since all we are left with is addition and subtraction, we perform simplification from left to right.
Thus, our answer is:
Add the numbers:
Add the ones digits.
Add the tens digit with the carryover.
The answer is:
Add the numbers:
Add the ones digits.
Add the tens digits using the one as the carryover.
Combine this number with the ones digit of the first number solved.
The answer is:
Add the following numbers:
Add the ones digits.
Carry the one and add the tens digits.
Combine this number with the ones digit of the first number.
The answer is:
Add the numbers:
Add the ones digits.
Carry the two, and add the tens digits.
Carry the two, and add the hundreds places.
Combine all ones digits.
The answer is:
Add the numbers:
Add the ones digits.
Carry the one, and add the tens digits.
Carry the two, and add the hundreds digits.
Combine this number with the ones digit of the other numbers.
The answer is: