Master Pre-Algebra: Gain Fundamental Math and Algebra skills

Compare decimals by aligning the place-value chart, compare tenths, hundredths, and thousandths digits from left to right, using zeros as placeholders, then order numbers in ascending or descending order.

Learn to convert fractions to decimals and decimals to fractions using powers of ten, long division, and simplification, with examples like 0.45 to 9/20.

Master pre-algebra teaches addition and subtraction of decimals, showing addends and sum, and minuend, subtrahend, and difference, with steps to line up decimals, use placeholders, carry, and verify by re-adding.

Multiply decimals by treating them as whole numbers, write the problem vertically, and count total decimal places to place the product’s decimal point.

Learn to divide decimals by identifying the dividend, divisor, and quotient, then align decimals and convert the divisor to a whole number with step-by-step examples.

Learn to round decimals to tenths, hundredths, thousands, and whole numbers using the rule: if the next digit is five or more, add one.

Master comparing fractions and mixed numbers by using equal denominators, cross-multiplication for different denominators, and deriving equivalent fractions through greatest common factor and simplest form.

Learn to identify fractions, numerator, and denominator, distinguish similar and dissimilar fractions, and proper, improper, and mixed numbers, and convert between forms, including improper to mixed and vice versa.

Master reducing fractions to their lowest terms by dividing numerator and denominator by common factors. See examples like 20/24 and 18/56 to find the simplified form.

Learn to add and subtract similar fractions with the same denominator by adding or subtracting numerators, copying the denominator, and simplifying to final forms, including mixed numbers.

Learn to multiply and divide fractions by multiplying numerators and denominators, canceling common factors, and simplifying to simplest form; convert mixed numbers to improper fractions, then use reciprocals for division.

Learn to add and subtract mixed numbers by combining the proper fractions, then the whole numbers, and finally simplify the result; when fractions differ, use a common denominator.

Learn to add and subtract dissimilar fractions by finding the least common denominator, converting to equivalent fractions, combining numerators, and simplifying to final forms.

Learn how percents express parts of a whole, explain that percent means per 100, and convert between percent, decimal, and fraction through practical examples.

Explore how ratios express the relationship between quantities with the same units, using the bananas and apples example, and apply ratio form, fraction form, and simplification.

Learn to subtract integers by following a four-step method: copy the minuend, switch the subtraction to addition, flip the subtrahend's sign, and add, handling like and unlike signs.

Master multiplying integers by first multiplying the numbers ignoring signs, then count the negative factors; if the count is odd, the product is negative, if even, it's positive.

Divide integers with a two-step method, then adjust the quotient's sign. Determine that like signs yield a positive quotient and unlike signs yield a negative quotient.

Master the addition of integers by applying rules for like signs and unlike signs, using absolute values and the sign of the greater absolute value to determine sums.

Explore how the absolute value measures distance from zero using the number line and vertical bars, and apply it to find minimum and maximum values in real-world examples.

Explore exponents, including base, power, and how to raise a number to itself. Learn negative exponents as reciprocals and how parentheses can change the result with examples.

Master place value with a place value chart, grouping digits in threes, reading numbers left to right, and understanding how each digit affects totals in money and decimals.

Explore the real number system and its categories—natural, whole, integers, rational—and irrational numbers, with examples like pi and square roots.

Learn to round numbers by choosing a rounding digit, applying the five-or-more rule, copying left digits, and zeroing right digits, with examples like 80,754 and 3165.

Learn expanded notation by expressing numbers as the sum of each digit times its place value, illustrated with examples like 397, 82,043, and 194,706.

Learn divisibility rules to quickly decide if a number is divisible by two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, fourteen, or fifteen.

Master the greatest common factor by understanding factors, identifying common factors, and applying listing, prime factorization, or long-division methods with practical examples.

Identify prime and composite numbers by finding factors and checking divisions, as shown with 15 and 64; note that 17 and 41 are primes, and zero and one are neither.

Learn how to find the least common multiple, the smallest common multiple, using listing, prime factorization, or division methods with examples such as four and six and twenty-four and thirty-six.