Arithmetic Vocubulary, Definitions, & Facts
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- Q. What is a NATURAL NUMBER?
- A. The counting numbers. Zero is not included.
- Q. What is a WHOLE NUMBER?
- A. Any positive integer or zero. AKA the counting numbers or natural numbers plus zero.
- Q. What is an INTEGER?
- A. Any of the natural numbers (1, 2, 3, etc), the negatives of these numbers, or zero.
- Q. What is a REAL NUMBER?
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A. Any rational or irrational number, or in other words, any number on the number line.
Retronym: Imaginary Number - Q. What is ABSOLUTE VALUE?
- A. The distance of a number from zero.
- Q. What is SCIENTIFIC NOTATION?
- A. The expression of very large or very small numbers in the form n*10^x
- Q. What is a MULTIPLE?
- A. The product of a whole number and any other whole number?
- Q. What is a QUOTIENT?
- A. The answer in division.
- Q. What is a DIVIDEND?
- A. The number to be divided.
- Q. What is a DIVISOR?
- A. The number by which the dividend is divided, or one of two integers what can be exactly divided into another integer - aka a FACTOR.
- Q. What is an EVEN INTEGER?
- A. An EVEN INTEGER is a multiple of 2, or, in other words, any integer that when divided by 2 results in another integer.
- Q. What is an ODD INTEGER?
- A. An ODD INTEGER is NOT a multiple of 2, or, in other words, any integer that when divided by 2 results in a remainder of 1.
- Q. An ODD # multiplied by an ODD # will always equal ________?
- A. Another ODD #.
- Q. An ODD # multiplied by an EVEN # will always equal ________?
- A. An EVEN #
- Q. EVEN #'s can be divided evenly by ________?
- A. Either ODD or EVEN #'s.
- Q. ODD #'s can be divided evenly by ________?
- A. Only another ODD #.
- Q. How is a number converted to SCIENTIFIC NOTATION?
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A.
1) Move the decimal behind the first non-zero integer.
2) Count the number of positions the decimal was moved, which is x.
3. Convert to final form n*10^x - Q. What are the PRIME NUMBERS < 102?
- A. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101.
- Q. How is the LOWEST COMMON DENOMINATOR found.
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A.
1) Reduce each denominator to primes.
2) Find the product of the highest multiple for each prime # in the denominator.
Ex. 1/3 + 1/9 + 1/2; deminators convert to [3]+[3*3]+[2]; 9*2=18 - Q. What is a PRIME NUMBER?
- A. Any whole number > 1 with only two factors, 1 and itself.
- Q. How is the PERCENTAGE INCREASE determined when a value increases to a new value?
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A. ∆%=((FV-PV)/PF)*100
PERCENTAGE CHANGE = ((Future Value-Present Value)Present Value)*100
A positive answer is an increase. - Q. How is the PERCENTAGE DECREASE determined when a value increases to a new value?
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A. ∆%=((FV-PV)/PF)*100
PERCENTAGE CHANGE = ((Future Value-Present Value)Present Value)*100
A negative answer is a decrease. - Q. How is a new value calculated when the old value increases by x% ?
- A. Multiply the old value by (1+x/100).
- Q. How is the new value calculated when the old value decreases by x% ?
- A. Multiply the old value by (1-x/100).