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Multiplication: how to do Multiplying Integers
To multiply integers, follow these steps:
1. Determine the sign of the product by multiplying the signs of the factors.
2. Write the absolute values of the numbers as numerators in a fraction.
3. Multiply the numerators and denominators together using standard multiplication rules.
4. If the result is positive, include the original signs from step 1. If the result is negative, change the sign of both the numerator and denominator.For example:
– 5 x 7 = (5)(7) = 35
– -6 x 9 = (-6)(9) = -54
– -8 x 4 = (-8)(4) = -32Here’s an online resource that explains integer multiplication in more detail: https://www.mathsisfun.com/numbers/multiplying-integers.html
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Multiplication: how to do Multiplying Fractions
To multiply fractions, you can follow these steps:
1. Multiply the numerators (the top numbers) together.
2. Multiply the denominators (the bottom numbers) together.
3. Write the product of the numerators over the product of the denominators.For example, let’s say we want to multiply the fractions 1/4 and 2/3:
1. Multiply the numerators: 1 * 2 = 2
2. Multiply the denominators: 4 * 3 = 12
3. Write the product of the numerators over the product of the denominators: 2/12We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which in this case is 2:
2/12 = (2/2)/(12/2) = 1/6
So, 1/4 multiplied by 2/3 equals 1/6.
Here is an online resource that provides more information and examples on multiplying fractions:
https://www.mathsisfun.com/fractions/multiply-fractions.html
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Multiplication: how to do Multiplying Decimals
To multiply decimals, follow these steps:
1. Align the decimal points of the numbers being multiplied so that they line up vertically.
2. Multiply the digits in each column, ignoring the decimal point for now.
3. Write down the product of each column under the corresponding columns of the original numbers.
4. Add the decimal points to the products from step 3 to get the final answer.Here’s an example:
0.75 x 0.2 = ?
aligning the decimal points:
0.75
x 0.2multiplying the digits in each column:
1 (ignore)
5 x 2 = 10
7 x 0 = 0
carrying the 1 from the previous column:
10 + 1 = 11writing down the product of each column:
1.10adding the decimal points to the products from step 3:
0.75 x 0.2 = 0.15
You can also use a calculator or online tool to perform multiplication with decimals. Here is an example using an online tool: <https://www.onlinemathlearning.com/multiplying-decimals-calculator.html>
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- Multiplication: Epreuve de Mathématiques I. Étudier et représenter graphiquement la fonction f définie par f(x) = x² – 6x + 5 II. Sachant que sin(x+y) = sinxcosy + sinycosx, déterminer sin 2x. III. On donne la fonction f(x) = (x-3) / (x²-9). Calculer la limite de f quand x tend vers 3. IV. Résoudre dans ℕ l’équation : An = 8 – 3n V. On considère la fonction f de ℝ vers ℝ définie par : f(x) = ax² + 3x – 2 Déterminer la dérivée f'(x) de f(x). En déduire f'(1). Sachant que f'(1) = 2a + 3, déterminer le réel a. Pour quelle(s) valeur(s) de a a-t-on f'(1) = 0 ? N.B. IV et V sont au choix.
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