Solve (10² - 2·5) ÷ 3²: Complete Order of Operations

Question

Calculate and indicate the answer:

(102−2⋅5):32 (10^2-2\cdot5):3^2

Video Solution

Solution Steps

00:08 Let's begin by solving the problem step by step.
00:12 First, handle the roots and exponents. Always do these first.
00:18 Remember, an exponent means multiplying the number by itself. The number of times is given by the exponent.
00:25 Calculate those exponents, then plug them into your exercise.
00:30 Next, we solve any multiplication and division before moving on to addition and subtraction.
00:36 Now, let's calculate the exponent using this method and substitute the result back in.
00:42 Remember, always tackle what's inside the parentheses first.
00:47 Now, compute the division part, which we call the quotient.
00:51 And that's how we arrive at the solution to the question. Well done!

Step-by-Step Solution

Previously mentioned in the order of operations that exponents come before multiplication and division which come before addition and subtraction (and parentheses always come before everything),

Let's calculate first the value of the expression inside the parentheses (by calculating the values of the terms inside the parentheses first) :

(102−2⋅5):32=(100−10):32=90:32=9032 (10^2-2\cdot5):3^2 = (100-10):3^2 =90:3^2=\frac{90}{3^2} where in the second stage we simplified the expression in parentheses, and in the next stage we wrote the division operation as a fraction,

Next we'll calculate the value of the term in the fraction's numerator by performing the exponent, and in the next stage we'll perform the division (essentially reducing the fraction):

9032=9̸09̸=10 \frac{90}{3^2} =\frac{\not{90}}{\not{9}}=10 Therefore the correct answer is answer D.

Answer

10

More Questions

Related Subjects

The Order of Operations Order of Operations: Roots Order of Operations: Exponents Order of Operations - Exponents and Roots

Question Types

Powers and Roots: Using parentheses