The question has no sensible answer because its proposition is not true. Multiplication is commutative, division is not, so the rules are NOT the same.
p/q * r/s = (p*r)/(q*s)
Step 1 Make the whole number a fraction by making it ?/1 Step 2 Make the mixed number a improper fraction by multiplying the denominator by the whole number and then adding the numerator and putting that on top of the original denominator. Step 3 SOLVE using basic multiplying fractions rules Step 4 SIMPLIFY
Dividing fractions involves flipping the second fraction (taking its reciprocal) and then multiplying. For example, to divide ( \frac{a}{b} ) by ( \frac{c}{d} ), you convert it to ( \frac{a}{b} \times \frac{d}{c} ). In contrast, multiplying fractions directly involves multiplying the numerators and the denominators together without any changes. Thus, while both operations involve fractions, the process and the mathematical rules applied are distinctly different.
Oh, what a lovely question! Indian mathematicians like Aryabhata, Brahmagupta, and Bhaskara II made significant contributions to the understanding of rational numbers. They explored various properties of fractions, decimals, and ratios, helping us appreciate the beauty and harmony of mathematics. Just like in painting, each mathematician added their unique brushstroke to the canvas of knowledge, creating a masterpiece that we still admire today.
By using the divisibility rules, I can tell that 864 is divisible by 2, 3, 4, 6, 8 and 9. By dividing those numbers into 864 I can create factor pairs, any of which I can use to start the tree. 864 432,2 216,2,2 108,2,2,2 54,2,2,2,2 27,2,2,2,2,2 9,3,2,2,2,2,2 3,3,3,2,2,2,2,2
Multiplying and dividing integers and rational numbers follow the same fundamental rules. In both cases, the product of two numbers is determined by multiplying their absolute values and applying the appropriate sign rules. Similarly, division involves inverting the divisor and multiplying, maintaining the same sign conventions. Thus, the processes are consistent, with rational numbers simply extending the concept to fractions.
The rules are the same.
p/q * r/s = (p*r)/(q*s)
no answer
The rules for dividing negative numbers is the same as multiplying them. A negative number multiplied/divided by a negative number is positive and a negative number multiplied/divided by a positive number is negative.
In mathematics, negative numbers follow specific rules for operations. When adding two negative numbers, the result is negative (e.g., -3 + -2 = -5). When multiplying or dividing two negative numbers, the result is positive (e.g., -2 × -3 = 6). However, multiplying or dividing a negative number by a positive number yields a negative result (e.g., -4 × 2 = -8).
When multiplying or dividing numbers, the result should have the same number of significant figures as the factor with the fewest significant figures. When adding or subtracting numbers, the result should have the same number of decimal places as the number with the fewest decimal places.
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One use is shorthand for large numbers, eg the mass of the earth is 5960000000000000000000000 kg , which can be expressed as: 5.96 * 1024 kg there are also rules for multiplying / dividing exponential numbers
It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
When multiplying numbers, the rules for signs are straightforward: the product of two positive numbers is positive, and the product of two negative numbers is also positive. However, when multiplying a positive number by a negative number, the result is negative. In summary, multiplying numbers with the same sign yields a positive result, while multiplying numbers with different signs results in a negative product.