How to multiply integers - Algebra 1

Multiply the rate of travel (210 mi/hr) by the time traveled (5 hours), and you get the total distance, 1050 miles.

distance = rate * time

distance = (210mi/hr)(5hr)

distance = 1050mi

To find the volume of a cube, you cube the side length, raising it to the thrid power. 5 cubed is 125.

(5ft)3 = 5ft*5ft*5ft = 125ft3

We must set up a proportion. Since x varies directly with y, when y is multiplied by 2, x is also multiplied by 2. 26 times 2 is 52.

Direct variation:

9 * 9 = 81, and thus 9 is the square root of 81. It is true that (–9) * (–9) = 81, but it is a convention that "the square root" refers to the positive value. Had the question asked for "a square root" or "the square roots" of 81, –9 would be acceptable.

When multiplying two negative numbers, the negatives cancel each other out, leaving a positive solution, thus, we can think of (–16)(–2) as (16)(2), which is 32.

(–16) * (–2)

(–1)(16) * (–1)(2)

(–1)(–1) * (16)(2)

(1) * (16)(2)

16 * 2

32

= =

=
=

While all of the answers could result in an odd answer, only guarantees an odd answer. Since any integer multiplied by 2 is even, adding 1 will always give the next consecutive odd integer.

Multiply the absolute values to get the magnitude of the answer.

Remember the following rules:

Positive * negative = negative

Positive * positive = positive

Negative * negative = positive

Since we are dealing with a positive and a negative, our answer will be negative.

In this problem, you need to use the proper order of operations to find the correct answer: PEMDAS (Parentheses, Exponents, Multiplication-Division, Addition-Subtraction).

Exponents show up first in this problem, so the first step is to simplify:

This results in:

The next step is the multiplication:

This results in:

The next step is to do the remaining addition and subtraction from left to right.

499 is your final answer.

Find the factors of 128 to simplify the term.

We can rewrite the expression as the square roots of these factors.

Simplify.

The third root of is

and when added to the square root of 64, which is 8, you should get 11.

First, distribute the exponents to the numerators and denominators:

.

Then, rewrite the problem in expanded form:

Next, rewrite the problem so that you only have prime factors in both numerators and denominators:

.

Last, simplify by "canceling out" like terms, leaving you with

and multiply across both numerators and denominators, which will give you .

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.

Start by finding factors for the radical term.

We can rewrite the radical using these factors.

Simplify the first term.