What Are the Solutions to These Basic Arithmetic Problems?

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In summary, Arithmetic is a branch of mathematics that deals with numbers and their operations. It includes basic operations such as addition, subtraction, multiplication, and division. The properties of numbers in arithmetic include commutativity, associativity, distributivity, identity, and inverse. These properties dictate how numbers behave when combined using the basic operations. Arithmetic differs from algebra in that it focuses on specific numbers and their operations, while algebra deals with general symbols and equations. Some real-life applications of arithmetic include tasks like counting money, calculating measurements, and keeping track of time, as well as more complex fields such as finance, engineering, and science. To improve arithmetic skills, practice and repetition are key, and using visual aids and online resources can also be
  • #1
beefy
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8(6-5) +10 equal?4(-2)to the 2nd degree plus 8 (-2) + 3(-2) + 6 equal?
3
(1/3) (9) equals?

598%/ 26% what is answer?
 
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  • #2
beefy said:
8(6-5) +10 equal?4(-2)to the 2nd degree plus 8 (-2) + 3(-2) + 6 equal?
3
(1/3) (9) equals?

598%/ 26% what is answer?

1) 8(6-5)+10= ?

This is a basic use of the order of operations or PEMDAS as it is commonly taught. You should start by simplifying inside the parentheses, then multiply and lastly add. What do you get?

2) I'm not exactly sure what is being taken to the 2nd degree. You need to be very precise with parenthesis! 4(-2) to the 2nd degree could mean \(\displaystyle \left( 4(-2) \right)^2\) or \(\displaystyle 4 \times (-2)^2\) Which one is it? For the second part of this, +8(-2)+3(-2)+6, multiply first then add or subtract.

3) You wrote this:

4(-2)to the 2nd degree plus 8 (-2) + 3(-2) + 6 equal?
3
(1/3) (9) equals?

On the second line, where does that "3" belong? Is that part of a problem or number 3?

4) 598%/26%

Let's say that we have 100 apples. Then 598% of those apples is 5.98*100. Similarly 26% of those 100 apples is 0.26*100. Once we find those and divide what do you get?
 
  • #3
beefy said:
8(6-5) +10 equal?
8(1)+ 10= 18, of course. I think I learned that kind of arithmetic in third or fourth grade.
4(-2)to the 2nd degree plus 8 (-2) + 3(-2) + 6 equal?
Assuming the "2nd degree" refers only to the "(-2)", that is 4(4)+ 8(-2)+ 3(-2)+ 6= 16- 16- 6+ 6= 0.

3
(1/3) (9) equals?
That "3" is misplaced. Assuming you meant (1/3)3(9), that is (1/27)(9)= 1/9.

598%/ 26% what is answer?
Percentages are NOT numbers and standard arithmetic operations are not defined on percentages. You can interpret percentages as meaning percentages of a specific base, so converting to numbers. That is what Jameson did but that is just one possible interpretation of the question- which is, itself, meaningless.
 

FAQ: What Are the Solutions to These Basic Arithmetic Problems?

What is arithmetic?

Arithmetic is a branch of mathematics that deals with the properties and operations of numbers. It includes basic operations such as addition, subtraction, multiplication, and division.

What are the properties of numbers in arithmetic?

The properties of numbers in arithmetic include commutativity, associativity, distributivity, identity, and inverse. These properties dictate how numbers behave when combined using the basic operations.

What is the difference between arithmetic and algebra?

Arithmetic deals with specific numbers and their operations, while algebra deals with general symbols and equations. In arithmetic, the goal is to find a specific numerical solution, whereas in algebra, the goal is to find the general solution for any given set of values.

What are some real-life applications of arithmetic?

Arithmetic is used in everyday tasks such as counting money, calculating measurements, and keeping track of time. It is also used in more complex fields such as finance, engineering, and science.

How can I improve my arithmetic skills?

The best way to improve arithmetic skills is through practice and repetition. You can also use visual aids, such as number lines or manipulatives, to better understand the concepts. Online resources and educational games can also be helpful in improving arithmetic skills.

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