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Questions tagged [arithmetic]

Questions on basic arithmetic involving numerical quantities only. Questions involving variable values (other than the result of the operation) should be placed under the (algebra-precalculus) tag. Questions about number theory (sometimes called "arithmetic") should not use this tag and should instead use (number-theory) or (elementary-number-theory).

Arithmetic is defined as operations upon numbers using $4$ main operations along with many others:

addition - the sum of two numbers

subtraction - the difference of two numbers also defined as the addition of negative numbers

multiplication - the area of a rectangle with sides of lengths equal to the two operands

division - the number of times one number can be subtracted from another before equaling zero. Sometimes it will allow decimals and in other cases there will be a remainder left over when a number doesn't go into another evenly

See Arithmetic.

6283 questions
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question in product

can any expert just check my solution You bought a car for $\$2500$ down and made payments of $\$299.50$ each month for $36$ months. (a) Find the amount of the payments over the $36$ months. (b) Find the total cost of the car. I have tried to solve…
leena adam
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Interpreting division

Division is basically an inverse operation of multiplication, therefore it's all about scaling a value by another value. $c = \frac{a}{b}$ But how to interpret it mentally, there are a few ways of going about it: division is a measure how many…
Curiosity
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Why does $\frac{4}{2} = \frac{2}{1}$?

I take for granted that $\frac{4}{2} = \frac{2}{1}$. Today, I thought about why it must be the case. My best answers amounted to $\frac{4}{2}=2$ and $\frac{2}{1}=2$; therefore $\frac{4}{2}=\frac{2}{1}$. However, that explanation seems…
Hal
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What is $57^{46}$ divided by 17?

$$\frac{57^{46}}{17}$$ What is best and quickest way to evaluate an approximate answer to this by hand?
Mayur
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Smallest integer greater than the given number

What is the smallest integer greater than the real number $(\sqrt{5}+\sqrt{3})^{2n}$ (for non-negative integer $n$)? The answer is $(\sqrt{5}+\sqrt{3})^{2n}+(\sqrt{5}-\sqrt{3})^{2n}$. I just checked for $n=1,2$ and $3$ and it works. I don't know how…
idpd15
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Is my book wrong? Fractional word problem.

Question: Mr. Cortez owns a 10 1/2-acre of tract land, and he plans to subdivide this tract into 1/4-acre lots. He must first set aside 1/6 of the TOTAL land for roads. Which of the following expressions shows how many lots this tract will…
Mark
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Arithmetic Problem Prime numbers

Let $p\equiv 2\mod 3$ an odd prime number. Prove that: $p \mid (x^3+y^3) \implies p \mid (x+y)$ , for any integers $x,y$ $p\mid (x+y)(x^2-xy+y^2) \implies p\mid (x+y)$ or $p\mid (x^2-xy+y^2) $ if $p\mid (x+y)$ so problem solved if $p\mid…
Terminator
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Calculating the square root of an integer as an integer with the smallest error

I was recently asked to write an algorithm to find the square root of a given integer, with the solution expressed as an integer with the smallest error. It was unclear to me whether this meant I need to return the integer closest to the actual…
Siam
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Change or cancel flight?

This is a simple problem, but I wanted to hear an answer from someone else. I had a round-trip flight that cost 135 dollars for a recent trip. At the last minute, plans changed and I decided not to go. I called the airlines asking to have 135…
airliner121212121
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What is the condition for example $(number^c)^b=number^{cb}$ to be true?

What is the condition for $(\text{number}^c)^b=\text{number}^{cb}$ to be true? I can't find it on google.ze so I asked it here on math.stackexchange.com.
PrinciPia
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Why is $12\cdot 12=144$ but $8 \cdot 16=128$? (I was asked by a co-worker)

Why is $12\cdot 12=144$ but $8 \cdot 16=128$? a friend thinks it should be the same because $12+12=24$ and $8+16=24$. He said it is only $4$ that is moved to the other side. Please give some sort of reason so I can inform him. thanks
christie
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3rd grade math problem

My niece asked me to help her with a problem, since she and her parents couldn't figure it out. The question was: abcde - fghi = 42137 with a-i being 1-9 (so for example 12345 - 6789), with each digit appearing once. I had no idea how to do this…
SinisterMJ
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What's this function called: $a^2 + b^2 + 2(ab)$?

This is a formula for calculating the 2th power of a number, for example if you want to calculate the 2th power of 5: $\begin{align*} a&= 2\\ b&= 3 \end{align*}$ $ 5^2 = a^2 + b^2 + 2(ab)$ Sorry if that's not the right notation, but you'll get…
Jasper Kennis
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Explanation of minus × minus = plus

I've seen numerous explanation of why two negatives make a positive and I did understand most of them. Now, I found the following explanation : If now we consider the product arising from the multiplication of the two quantities $a-b$, and $c -…
user108343
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Division misconception

I'm having trouble understanding division when the divisor is greater than the dividend, for ex 1/4. I think of division as "how many times can the divisor fit into the dividend evenly". Intuitively, when I see 1/4 in the context of slices of…
jeremy radcliff
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