Math Flashcards
how do you do a SUM in numbers
If you have a long list of numbers to add together, it can be helpful to use a calculator or a spreadsheet program like Microsoft Excel or Google Sheets. In Excel or Google Sheets, you can use the SUM function to add up a range of numbers. For example, if your numbers are in cells A1 through A10, you can use the formula =SUM(A1:A10) to find the sum of those numbers.
how do you divide in numbers
If you’re using a spreadsheet program like Microsoft Excel or Google Sheets, you can use a formula to divide two numbers.
For example, if you wanted to divide the value in cell A1 by the value in cell B1, you could use the formula =A1/B1. This would calculate the result of dividing the value in cell A1 by the value in cell B1.
how do divide in numbers and get the result in a percent
If you’re using a spreadsheet program like Microsoft Excel or Google Sheets, you can use a formula to do this calculation.
For example, if you wanted to find the percentage that the value in cell A1 is of the value in cell B1, you could use the formula =(A1/B1)*100. This would calculate the result of dividing the value in cell A1 by the value in cell B1, and then multiplying the result by 100 to get the answer as a percentage.
how do I do a SUMIF in numbers
In Numbers, you can use the SUMIF function to add up values in a range that meet a certain criteria. Here’s how you can use the SUMIF function:
Select the cell where you want to display the result of the SUMIF function.
Type the equal sign “=” to start the formula.
Type “SUMIF(“ to indicate that you want to use the SUMIF function.
Select the range of cells that you want to evaluate using the criteria. For example, if you want to add up the values in cells A1:A10, select that range.
Type a comma “,” to separate the range from the criteria.
Enter the criteria that you want to use to determine which values to add up. For example, if you want to add up only the values that are greater than 10, you could enter “>10”. If you want to add up only the values that contain the word “apple”, you could enter “apple”. The criteria should be enclosed in quotation marks.
Type another comma “,” to separate the criteria from the range of cells that you want to add up. For example, if you want to add up the values in cells B1:B10, you would select that range.
Close the parentheses “)” and press Enter to calculate the sum of the values that meet the specified criteria.
For example, if you want to add up the values in cells B1:B10 that are greater than 10, you could use the following formula:
=SUMIF(A1:A10,”>10”,B1:B10)
This will add up all the values in cells B1:B10 where the corresponding value in cells A1:A10 is greater than 10.
what is the order of operations in algebra
The order of operations in algebra, also known as the “PEMDAS” rule, is a set of conventions that dictate the sequence in which mathematical operations should be performed. “PEMDAS” stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
This means that when performing a series of operations, you should first simplify any expressions inside parentheses, then evaluate any exponents or radicals, then perform any multiplication or division operations from left to right, and finally perform any addition or subtraction operations from left to right.
For example, in the expression 3 + 4 x 5 - 2, you would first perform the multiplication operation, giving you 3 + 20 - 2. Then you would perform the addition and subtraction operations from left to right, giving you a final answer of 21.
It’s important to remember the order of operations when working with algebraic expressions to ensure that you arrive at the correct answer.
how do you divide fractions
To divide fractions, you can follow these steps:
Flip the second fraction (the divisor) upside down to create its reciprocal. For example, if you want to divide 1/2 by 1/3, the reciprocal of 1/3 is 3/1 (or simply 3).
Multiply the first fraction (the dividend) by the reciprocal of the second fraction (the divisor). So, in the above example, you would multiply 1/2 by 3, which gives you (1/2) * 3 = 3/2.
Simplify the resulting fraction, if possible. In the example above, the fraction 3/2 cannot be simplified any further, so it is the final answer.
Therefore, 1/2 divided by 1/3 is equal to 3/2 or 1.5.
What is the benefit of studying algebra
Learning algebra can provide a range of benefits that extend beyond simply being able to solve mathematical equations. Some of the key benefits of learning algebra include:
Improved problem-solving skills: Algebra teaches you how to analyze problems, break them down into smaller, more manageable parts, and use logical reasoning to find solutions. These skills can be applied in many different areas of life, from personal finance to scientific research.
Increased critical thinking skills: Algebra requires you to think critically about complex concepts and processes, which can improve your ability to analyze and evaluate information in a variety of settings.
Improved logical reasoning: Algebra helps you develop logical reasoning skills, which can help you make more informed decisions and solve problems more effectively.
Career opportunities: Many careers require a solid understanding of algebra, including engineering, finance, computer science, and many others. By mastering algebra, you can open up a wide range of career opportunities.
Personal empowerment: Learning algebra can help you feel more confident and empowered, as you develop a valuable skill set that can help you achieve your goals and solve problems in a variety of areas of your life.
what is a numerator
top number of a fraction
how do you convert a fraction to a decimal
put the numerator inside the division box and the denominator outside and divide
what is Descartes known for in mathematics
René Descartes, also known as Renatus Cartesius, is famous for his contributions to the field of mathematics, particularly for his development of analytical geometry, which is the study of geometry using algebraic symbols and equations.
Descartes is also credited with developing the concept of the Cartesian coordinate system, which is a method for representing geometric figures using numerical coordinates. This system uses a horizontal x-axis and a vertical y-axis to plot points, lines, and curves in two-dimensional space.
His work in mathematics laid the foundation for modern algebraic geometry, and his contributions in the field of philosophy, including his famous statement “Cogito, ergo sum” (I think, therefore I am), had a significant impact on the development of modern Western philosophy.
what is Newton known for in mathematics
Sir Isaac Newton is widely regarded as one of the most influential scientists of all time. He is best known for his contributions to physics and astronomy, including the development of the laws of motion and the law of universal gravitation. However, Newton also made significant contributions to the field of mathematics, particularly in the areas of calculus and optics.
Newton is credited with independently developing calculus, which is a branch of mathematics that deals with the study of rates of change and slopes of curves. His work in calculus laid the foundation for modern mathematical analysis and provided new tools for solving problems in physics, engineering, and other sciences.
Additionally, Newton’s work on optics, including his development of the theory of colors, was instrumental in advancing our understanding of the behavior of light and its interactions with matter. His contributions to mathematics and science as a whole continue to influence and inspire researchers and scholars to this day.
what are the laws of motion
The laws of motion, also known as Newton’s laws of motion, are three fundamental principles developed by Sir Isaac Newton that describe the behavior of objects in motion.
The three laws of motion are:
Law of Inertia: An object at rest tends to stay at rest, and an object in motion tends to stay in motion with a constant velocity unless acted upon by an external force.
Law of Force and Acceleration: The acceleration of an object is directly proportional to the force applied to it, and inversely proportional to its mass. That is, the force on an object equals its mass multiplied by its acceleration (F=ma).
Law of Action and Reaction: For every action, there is an equal and opposite reaction. When an object exerts a force on another object, the second object exerts an equal and opposite force on the first object.
These laws are important in explaining a wide range of physical phenomena, from the motion of planets to the behavior of subatomic particles. They form the basis of classical mechanics, and are essential for understanding the physical world around us.
the doing 2 step equations, what order you do them
first add/subtract, then multiply/divide - opposite of order of operations I’m Algebra
