Perfect Your Math Fundamentals (Pre-Algebra)

Explore integers as the building blocks of operations, including positive, negative, and zero; learn to read the number line, compare values, and arrange integers in ascending order.

Learn to add and subtract integers by applying sign rules, subtracting smaller from larger, and grouping positives and negatives, with multiple-number examples.

Explore multiplication and division of integers by applying sign rules: same signs yield positive results, different signs yield negative results, with even or odd counts determining the final sign.

Discover how to find multiples and the lowest common multiple using listing multiples and prime factorization, with practical examples.

Learn how to find the lcm using the division method by repeatedly dividing by the smallest prime factor, then multiplying the prime factors to obtain the lcm.

Learn to find the highest common factor using the division method to solve word problems, such as largest tile size, longest measuring tape, and tin capacities.

Explore fractions by defining numerator and denominator, classify them as proper, improper, mixed, unity fractions, and decimal and vulgar fractions, with circle, square, and triangle examples.

Add and subtract fractions by converting to like fractions, finding common denominators, and reducing to lowest terms; convert improper fractions to mixed numbers and back.

Learn how to multiply and divide fractions by converting mixed numbers to improper fractions, canceling common factors, multiplying numerators and denominators, and using reciprocals for division.

Demonstrates how to find fractions of quantities, such as three quarters of four hundred pounds, by dividing a whole into equal parts and applying simple calculations.

Convert numbers from expanded form to decimal form, practicing reading decimals such as 5.63, 13.146, and 0.562 (or 562 thousandths), and reinforcing place value across hundreds, thousands, and decimals.

Learn to convert decimals to fractions and mixed numbers, placing zeros for decimal places, and reducing to lowest terms.

Master the order of operations by applying PEMDAS: compute inside parentheses first, evaluate exponents, then handle multiplication and division from left to right, followed by addition and subtraction.

Master the order of operations with bodmas by solving nested brackets, exponents, and left-to-right multiplication, division, addition, and subtraction through step-by-step practice problems.

Explore solving expressions with BODMAS, tackling brackets of various types and applying left-to-right rules for division, multiplication, addition, and subtraction.

Identify whether numbers are rational or irrational by applying identities and simplifying expressions with pi, square roots, and decimals to reveal rationality or irrationality.

Explore the difference between rational and irrational numbers and how to find rationals between 4 and 6. Show that rational times irrational is irrational; two irrationals can be rational.

Explore terminating decimals with a finite number of digits after the decimal and non-terminating recurring decimals with infinite repeating blocks, including dot notation to mark the repeating sequence.

Learn how rounding makes calculations easier and helps estimates. See examples like 862 rounded to 60, 99, and 2000, and learn about repeating and irrational decimals.

Master rounding techniques by using place value, target digit, and the next-digit rule to decide rounding down or up, replacing smaller places with zeros.

Master rounding to significant figures by identifying the first significant digit, counting zeros between digits, and applying rules for decimals and whole numbers to achieve precise estimates.