Year 8 Mathematics Common Test, Scotch College

Evaluating expressions is a fundamental skill in mathematics that involves simplifying expressions to obtain a numerical value. It is crucial in real-world problems, such as finance, science, and engineering, where calculations are used to make predictions, analyze data, and make informed decisions.

To simplify fractions, you can divide both the numerator and the denominator by their greatest common divisor (GCD). Another method is to cancel out any common factors between the numerator and the denominator.

A decimal is a number that has a fractional part, whereas a mixed number is a combination of a whole number and a fraction. To convert a decimal to a mixed number, you can divide the decimal part by the denominator and simplify the fraction.

<p>Rounding numbers is a useful skill in mathematics that involves approximating a number to a specified number of decimal places. It is used in various real-world applications, such as finance, science, and engineering, where exact calculations are not necessary.</p> Signup and view all the answers

<p>The factors of a number are the whole numbers that divide the number exactly without leaving a remainder. The lowest common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. You can find the LCM by listing the multiples of each number and finding the smallest common multiple.</p> Signup and view all the answers

<p>Prime numbers are whole numbers that are divisible only by themselves and 1. They are important in mathematics because they are used to build all other numbers through multiplication. You can identify prime numbers by checking if they have only two factors: 1 and themselves.</p> Signup and view all the answers