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What happens to the decimal point in the quotient when the dividend is increased 1000 times but the divisor remains unchanged?
The decimal point moves 3 places to the right.
What happens to the remainder part of the quotient as the dividend increases by 1?
it decreases
What happens to the quotient when you divide a fraction by a fraction?
The quotient is larger than the original fraction.
What happens to the quotient when you divide a fraction by a fraction and why?
To divide by a fraction, it is inverted and multiplied.You can see this by using the example 2/3 ÷ 3/7:Write the division as a fraction with the first fraction as the numerator and the second fraction as the denominator;Convert this new fraction into an equivalent fraction by multiplying both numerator and denominator by the divisor turned upside down (with the denominator as the numerator and the numerator as the denominator)Do the multiplication in the denominator as normalSimplify the denominator and the overall fraction2/3 ÷ 3/7 = (2/3)/(3/7)(2/3)/(3/7) × (7/3)/(7/3) = (2/3 × 7/3)/(3/7 × 7/3)(2/3 × 7/3)/(3/7 × 7/3) = (2/3 × 7/3)/((3×7)/(7×3) = (2/3 × 7/3)/(21/21)(2/3 × 7/3)/(21/21) = (2/3 × 7/3)/1 = (2/3 × 7/3) ÷ 1 = 2/3 × 7/3Thus 2/3 ÷ 3/7 = 2/3 × 7/3 which can be done by normal multiplication.When a fraction is so inverted it is called the reciprocal of the fraction*.Through this inversion of the divisor, and conversion to a multiplication you can now see what happens to the dividend to create the quotient:Ignoring the sign:if divisor < 1, its reciprocal > 1 → quotient > dividendif divisor = 1, its reciprocal = 1 → quotient = dividendif divisor > 1, its reciprocal < 1 → quotient < dividend----------------------* strictly speaking the reciprocal of a fraction (or any number) is 1 divided by the fraction. Following the above, eg:1 ÷ 3/7 = 1/(3/7) = (1×(7/3))/((3/7)×(7/3) = (7/3)/(21/21) = (7/3)/1 = 7/3 ÷ 1 = 7/3This also follows from whole numbers being the same as a fraction with a denominator of 1, eg:1 ÷ 24 = 1 ÷ 24/1 = 1 × 1/24 = 1/24 → reciprocal of 24 is 1/241 ÷ (1/24) = 1 × 24/1 = 24/1 = 24 → reciprocal of 1/24 is 24.
What happens when you divide using prime numbers?
The answer depends on whether or not the divisor is divisible evenly by the prime.
What happens to a quotient when the dividend remains the same and the divisor decreases?
The quotient increases.
What happens to the quotient when the dividend and divisor are mutiplied by the same number?
As long as the number is not zero, the quotient remains unchanged. If the multiplier is zero then the quotient is undefined.
What happens to the decimal point in the quotient when the dividend is increased 1000 times but the divisor remains unchanged?
The decimal point moves 3 places to the right.
Why even divided by odd equal even?
Odd numbers do NOT have a factor of 2. When an Even number is divided by an Odd number with no remainder, the prime factors of the divisor cancel out the prime factors of the dividend, but there will be no prime 2 to cancel the prime factor of 2 in the dividend leaving the the quotient to have a factor of 2, and so will be Even. --------------------------------------------------------- Alternatively, consider what happens when you multiply Odd and Even numbers: Odd × Odd = Odd Odd × Even = Even Even × Even = Even The result is Even ONLY if at least one of the numbers multiplied together is Even. Thus if you divide an Even number by an Odd number, the result must be Even. Also consider that Odd times Odd is Odd. Multiplication is the inverse of division, so if you have: dividend ÷ divisor = quotient then dividend = quotient × divisor Now, if the divisor is Odd and the quotient is Odd, the the Dividend MUST be Odd (since Odd × Odd = Odd). Thus if the Dividend is Even and the Divisor is Odd, then the Quotient must be Even.
What happens to the quotient as the divisor gets larger?
It gets smaller.
What happens to the remainder part of the quotient as the dividend increases by 1?
it decreases
What is a Java program that finds the greatest common factor of two integers?
The easiest way to find the greatest common denominator of two integers with a computer program is to use the Euclidean algorithm. Of the most popular methods of finding the GCD of two numbers, the Euclidean algorithm does it with the least amount of work and requires the least amount of code.In order to understand the Euclidean algorithm, you'll need to know a few division terms:The dividend is the number to be divided.The divisor is the number being divided by.The quotient is the number of times the divisor divides into the dividend.The remainder is the amount "left over" when the divisor cannot go into the dividend an integral number of times.18A divided by 12B gives a quotient of 1C and a remainder of 6D. A is the dividend, B is the divisor, C is the quotient, and D is the remainder.The Euclidean algorithm works like this:Check if either of the two integers is 0. If so, there is no solution (Ø), as a number cannot share a GCD with zero. Besides, division by zero is a big no-no.Check if either of the two integers is 1. If so, 1 is the GCD.Divide the larger of the two integers by the smaller.Divide the divisor of the previous division operation by the remainder of the previous operation.Repeat step four until the remainder equals zero. When the remainder equals zero, the divisor of the last operation is the GCD.If you still don't get it, try looking at the Euclidean algorithm in action:Find the GCD of 84 and 18.Check to see if either 84 or 18 is equal to 0. Nope. Continue on...Check to see if either 84 or 18 is equal to 1. Nope. Continue on...Since 84 is larger than 18, divide 84 by 18. Quotient is 4, remainder is 12.Take the divisor of the last operation (18) and divide it by the remainder of the last operation (12). Quotient is 1, remainder is 6.Take the divisor of the last operation (12) and divide it by the remainder of the last operation (6). Quotient is 2, remainder is 0.When the remainder is 0, the divisor of the last operation is the GCD. So the GCD in this case is 6.You should now have a good grasp of how the Euclidean algorithm works. Now we need to turn it into code. We'll need three variables, all of them integers:int divisor, dividend, remainder;The purpose of the variables is self-explanatory. Next, we need to make a few decisions. We need to decide if the dividend or the divisor is 0. If that test is passed, then we need to decide if the dividend or the divisor is 1. If that test is passed, then we need make sure that dividend is larger than divisor.if(dividend 1) {printf("The GCD is 1.\n");}// Make sure the dividend is greater than the divisor.if(divisor > dividend) {remainder = dividend;dividend = divisor;divisor = remainder;}// Calculate the GCD.while(remainder != 0) {remainder = dividend % divisor;dividend = divisor;divisor = remainder;}// Display the answer to the user.printf("The GCD is %i.\n", dividend);}And the GCD lived happily ever after. The end.
What happens to the quotient when you divide a fraction by a fraction?
The quotient is larger than the original fraction.
In a division problem what happens to the quotient when the dividend increases?
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What happens to the quotient when you divide a fraction by a fraction and why?
To divide by a fraction, it is inverted and multiplied.You can see this by using the example 2/3 ÷ 3/7:Write the division as a fraction with the first fraction as the numerator and the second fraction as the denominator;Convert this new fraction into an equivalent fraction by multiplying both numerator and denominator by the divisor turned upside down (with the denominator as the numerator and the numerator as the denominator)Do the multiplication in the denominator as normalSimplify the denominator and the overall fraction2/3 ÷ 3/7 = (2/3)/(3/7)(2/3)/(3/7) × (7/3)/(7/3) = (2/3 × 7/3)/(3/7 × 7/3)(2/3 × 7/3)/(3/7 × 7/3) = (2/3 × 7/3)/((3×7)/(7×3) = (2/3 × 7/3)/(21/21)(2/3 × 7/3)/(21/21) = (2/3 × 7/3)/1 = (2/3 × 7/3) ÷ 1 = 2/3 × 7/3Thus 2/3 ÷ 3/7 = 2/3 × 7/3 which can be done by normal multiplication.When a fraction is so inverted it is called the reciprocal of the fraction*.Through this inversion of the divisor, and conversion to a multiplication you can now see what happens to the dividend to create the quotient:Ignoring the sign:if divisor < 1, its reciprocal > 1 → quotient > dividendif divisor = 1, its reciprocal = 1 → quotient = dividendif divisor > 1, its reciprocal < 1 → quotient < dividend----------------------* strictly speaking the reciprocal of a fraction (or any number) is 1 divided by the fraction. Following the above, eg:1 ÷ 3/7 = 1/(3/7) = (1×(7/3))/((3/7)×(7/3) = (7/3)/(21/21) = (7/3)/1 = 7/3 ÷ 1 = 7/3This also follows from whole numbers being the same as a fraction with a denominator of 1, eg:1 ÷ 24 = 1 ÷ 24/1 = 1 × 1/24 = 1/24 → reciprocal of 24 is 1/241 ÷ (1/24) = 1 × 24/1 = 24/1 = 24 → reciprocal of 1/24 is 24.
If an investor buys stock on the ex-dividend date will that individual receive the dividend?
No, the definition of ex-dividend date is trading without the dividend. Any stock purchased "ex-dividend" date is not entitled to the dividend. AND equally as importantly OFFSETTING this - is the insatnt that happens the stock price is reduced by the amiunt of the dividend being paid. NO you cannot "steal" a dividend - that is buy it the day before the divideden gets paid (or ownership date actually) - and sell the day after - all you do is get the dividend and the equally lower stock value.
What about a situation where the quotient is less than one?
It happens - quite often.
