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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Subtraction - visualization

Subtraction is perhaps best viewed as removing objects from a set. For instance, if I have \$10, and I give away \$5, I have \$5. I can visualize removing \$5 from the original \$10. But, for instance, in the following expression: $$ \triangle…
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Finding a 6 digit number

The sum of digits of a six digit number is $41$. At first we omit its leftmost digit and subtract it from the original number. Then we omit the two leftmost digits and add it with the result. Next we omit the three leftmost digits and subtract it…
rah4927
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Pages 6 and 27 are on the same (double) sheet of a newspaper, how many pages are there in the news paper altogether

I was never really good at maths, trying to get back into it. I have this question: Pages 6 and 27 are on the same (double) sheet of a newspaper, what are the page numbers on opposite sides of the sheet and how many pages are there in the…
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A number N in base 10, is 503 in base b and 305 in base b + 2. What is the product of the digits of N?

Pls help me with A number N in base 10, is 503 in base b and 305 in base b + 2. What is the product of the digits of N? I amen't solve it. Help needed
user877927
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Is there an other way for it?

Consider two equations: $x+y=2$$y+z=4$ Find the value of $(x+z)$.($x,y,z$ all are positive real numbers) My Approach: $\because x+y=2 \Longrightarrow y=0$ or $y=1$. Case 1: taking $y=0$$ \Longrightarrow$ $x=2$ ; $z=4$.$\therefore x+z = 2+4 =…
Some 1
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Business sales math

Ok. I am trying to put together a 5-year revenue projection. I only have the following data: Units Sold in Year 1: 20 Units Sold in Year 2: 80 Units Sold in Year 3: 200 Now I need to use this data to figure out: What monthly growth rate to use…
keruilin
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Finding how many times one number fits into the other

Is there a way to tell - for example - how many $60$s are there in a number that cannot be divided by $60$, like $183$? I know that we should remove all numbers after the decimal point but how can we tell this mathematically?
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What is a simple formula that can create the patterns $+1 +2 +3 +4$, or $+1 +3 +5 +7$, or $+1 +4 + 7 +10$, etc.

Originally I was looking for some simpler more intuitive way to appreciate the value of squaring something. I looked for how much it was increasing by every time I add $+1$ to the size of what was being squared. so in other words $3$ squared is $+5$…
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What have I done wrong in solving this problem with indices rules?

The question asks to simplify: $$\left(\dfrac{25x^4}{4}\right)^{-\frac{1}{2}}.$$ So I used $(a^m)^n=a^{mn}$ to get $$\dfrac{25}{4}x^{-2} = \dfrac{25}{4} \times \dfrac{1}{x^2} = \frac{25}{4x^2} = \frac{25}{4}x^{-2}$$ However, this isn't the answer,…
ODP
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How do I solve this logical reasoning problem?

A mart has $10^7$ items in stock. It has collected billing data for $10^{10}$ customer transactions. Each individual bill can have at most $10$ distinct items on it. The owner of the mart wants to optimise the company inventory and wants a list of…
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Foodservice calculation question. Converting weights

The question is: A 5-pound bag of cocoa powder costs $25.35. One cup of cocoa powder weighs 4 ounces. How much would 2 teaspoons cost? I first converted the 5 pounds to ounces by multiplying by 16 to get 80. Then I took the 80 ounces and divided…
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BODMAS issue causing consternation.. should be simple.

OK, so my daughter is doing an aptitude assessment for a job. A question came up on a 'practise test'. What is $|-4| + |4| - 4 + 4 $? Personally, I was taught $BODMAS$ where you do Addition before Subtraction. So this would lead to : $(4+4) - (4+4)…
Mark
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How was BODMAS rule defined?

This is a bit naive question bu help me out here. We know that in Arithmetic, we follow the BODMAS rule where first preference is given to Brackets then Exponent then Division and so on. My question is how did we arrive at the conclusion to give…
Jdeep
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Generalizing multiplication by 9 pattern

Playing a little bit around with the multiplication by 9 (for learning purpose), I found that there is an interesting pattern. I started with the common multiplications: with 0 > 'a' < 11 and being the operand multiplied by 9 and 'o' being the…
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Dynamic Height Resizing of Multiple Elements

Good afternoon, I'm hoping to get some help/adice or a nudge in the right direction on the following problem: I'm using a programme where I define a container and inside that container I'm placing three elements. First element is an image that…
Mark
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