Dividing and Squaring Numbers

The video tutorial explains how to evaluate an expression by substituting given values for variables and simplifying the result using the order of operations. It demonstrates the process of substitution, simplification of the numerator and denominator, and division to achieve a whole number. The tutorial also verifies the result using a graphing calculator, emphasizing the importance of parentheses in calculations.

What values are substituted for a and b in the expression?

• a = 26, b = 30

• a = -26, b = -30

• a = 26, b = -30

• a = -26, b = 30

What is the first step in evaluating the expression after substitution?

• Add the values of a and b

• Square the values of a and b

• Divide a by b

• Multiply a and b

What is the result of squaring negative twenty-six?

• 726

• 676

• 576

• 626

What is the sum of the squares of a and b?

• 1376

• 1476

• 1676

• 1576

What is the result of adding negative twenty-six and thirty?

• 6

• 4

• 8

• 2

What is the simplified result of 1576 divided by 4?

• 364

• 394

• 374

• 384

What is the divisibility rule for 4 used in the simplification?

• The last digit is divisible by 4

• The last two digits are divisible by 4

• The sum of the digits is divisible by 4

• The number is even

How many fours are there in fifteen during the division process?

• 5

• 2

• 3

• 4

What is the purpose of using a graphing calculator in this context?

• To calculate the square roots

• To check the initial values

• To find the common factors

• To verify the final result

What is the final verified result of the expression?

• 374

• 364

• 384

• 394