Operations - Pre-Algebra

Card 1 of 1476

0

Didn't Know

0

Didn't Know

Knew It

0

1 of 2019 left

Question

Simplify:

$2\left \{ 3+2[1+(3-2)]\right \}$

Tap to reveal answer

Answer

Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:

$2\left \{ 3+2[1+(3-2)]\right \}$

$=2\left \{ 3+2[1+(1)]\right \}$

$=2\left \{ 3+2[2]\right \}$

$=2\left \{ 3+4\right \}$

$=2\left \{ 7\right \}$

← Didn't Know|Knew It →

Question

Simplify:

$3[2+1+(3^2-4+1)]-2\left \{ 3[1+(-2)-(-4)+2^2]\right \}$

Tap to reveal answer

Answer

In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.

$3[2+1+(3^2-4+1)]-2\left \{ 3[1+(-2)-(-4)+2^2]\right \}$

$=3[2+1+(9-4+1)]-2\left \{ 3[1+(-2)-(-4)+4]\right \}$

Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.

$=3[2+1+(6)]-2\left \{ 3[1-2+4+4]\right \}$

$=3[9]-2\left \{ 3[7]\right \}$

$=27-2\left \{ 21\right \}$

← Didn't Know|Knew It →

Question

Simplify:

$2\left \{ 3+2[1+(3-2)]\right \}$

Tap to reveal answer

Answer

Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:

$2\left \{ 3+2[1+(3-2)]\right \}$

$=2\left \{ 3+2[1+(1)]\right \}$

$=2\left \{ 3+2[2]\right \}$

$=2\left \{ 3+4\right \}$

$=2\left \{ 7\right \}$

← Didn't Know|Knew It →

Question

Simplify:

$3[2+1+(3^2-4+1)]-2\left \{ 3[1+(-2)-(-4)+2^2]\right \}$

Tap to reveal answer

Answer

In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.

$3[2+1+(3^2-4+1)]-2\left \{ 3[1+(-2)-(-4)+2^2]\right \}$

$=3[2+1+(9-4+1)]-2\left \{ 3[1+(-2)-(-4)+4]\right \}$

Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.

$=3[2+1+(6)]-2\left \{ 3[1-2+4+4]\right \}$

$=3[9]-2\left \{ 3[7]\right \}$

$=27-2\left \{ 21\right \}$

← Didn't Know|Knew It →

Question

Simplify:

$2\left \{ 3+2[1+(3-2)]\right \}$

Tap to reveal answer

Answer

Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:

$2\left \{ 3+2[1+(3-2)]\right \}$

$=2\left \{ 3+2[1+(1)]\right \}$

$=2\left \{ 3+2[2]\right \}$

$=2\left \{ 3+4\right \}$

$=2\left \{ 7\right \}$

← Didn't Know|Knew It →

Question

Simplify:

$3[2+1+(3^2-4+1)]-2\left \{ 3[1+(-2)-(-4)+2^2]\right \}$

Tap to reveal answer

Answer

In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.

$3[2+1+(3^2-4+1)]-2\left \{ 3[1+(-2)-(-4)+2^2]\right \}$

$=3[2+1+(9-4+1)]-2\left \{ 3[1+(-2)-(-4)+4]\right \}$

Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.

$=3[2+1+(6)]-2\left \{ 3[1-2+4+4]\right \}$

$=3[9]-2\left \{ 3[7]\right \}$

$=27-2\left \{ 21\right \}$

← Didn't Know|Knew It →

Question

Simplify:

$2\left \{ 3+2[1+(3-2)]\right \}$

Tap to reveal answer

Answer

Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:

$2\left \{ 3+2[1+(3-2)]\right \}$

$=2\left \{ 3+2[1+(1)]\right \}$

$=2\left \{ 3+2[2]\right \}$

$=2\left \{ 3+4\right \}$

$=2\left \{ 7\right \}$

← Didn't Know|Knew It →

Question

Simplify:

$3[2+1+(3^2-4+1)]-2\left \{ 3[1+(-2)-(-4)+2^2]\right \}$

Tap to reveal answer

Answer

In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.

$3[2+1+(3^2-4+1)]-2\left \{ 3[1+(-2)-(-4)+2^2]\right \}$

$=3[2+1+(9-4+1)]-2\left \{ 3[1+(-2)-(-4)+4]\right \}$

Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.

$=3[2+1+(6)]-2\left \{ 3[1-2+4+4]\right \}$

$=3[9]-2\left \{ 3[7]\right \}$

$=27-2\left \{ 21\right \}$

← Didn't Know|Knew It →

Question

Solve:

$780\div-12$

Tap to reveal answer

Answer

When dividing a positive number and a negative number, our answer is negative. The quotient is .

← Didn't Know|Knew It →

Question

Tap to reveal answer

Answer

When a plus and minus sign meet, the sign becomes negative. When adding two negative numbers, we treat as an addition problem and add a minus sign in the end. Answer is .

← Didn't Know|Knew It →

Question

Tap to reveal answer

Answer

Just subtract normally. Answer is .

← Didn't Know|Knew It →

Question

Tap to reveal answer

Answer

When two minus signs meet, the sign becomes positive. It becomes an addition problem. Answer is .

← Didn't Know|Knew It →

Question

Solve:

$\left | -6+4\right |\times7=$

Tap to reveal answer

Answer

$\left | -6+4\right |\times7=\left | -2\right |\times7=2\times7=14$

← Didn't Know|Knew It →

Question

Solve:

$-832\div-32$

Tap to reveal answer

Answer

When two negative numbers are being divided, our answer is positive. The quotient is .

← Didn't Know|Knew It →

Question

Solve:

$-144\div-6$

Tap to reveal answer

Answer

When dividing two negative numbers, the answer is positive. Then divide normally. Answer is .

← Didn't Know|Knew It →

Question

Tap to reveal answer

Answer

This is the same as adding two negative numbers. We treat as an addition problem and add the minus sign in the end. Answer is .

← Didn't Know|Knew It →

Question

Solve:

Tap to reveal answer

Answer

The numbers are positive. Just add. The sum is .

← Didn't Know|Knew It →

Question

Tap to reveal answer

Answer

(3+2)=5 is the first operation because parentheses is the first step in order of operations. 5 is then squared because exponents are the second operation. Finally 4 is added to 25, leaving the answer as 29.

← Didn't Know|Knew It →

Question

Solve:

Tap to reveal answer

Answer

A plus and minus sign becomes a minus sign. This is just a subtraction problem. Answer is .

← Didn't Know|Knew It →

Question

Simplify.

Tap to reveal answer

Answer

The 3 is first distributed to (x-4) because multiplication comes before addition in order of operations. This leaves us with 3x-12+6. when the -12 and 6 are added we are left with 3x-6

← Didn't Know|Knew It →

0

Knew It