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Numbers and Decimals

Numbers and Decimals

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Basic Arithmetic

Inequality symbols explained with examples using the greater than, less than, greater than or equal to, and less than or equal to signs.
Grade 7

Number Line and Comparing Numbers

A number line is a visual tool that represents numbers in order on a straight line. Learn how to use…
Place value chart demonstrating the number 54321 with a breakdown of digits in ten thousands, thousands, hundreds, tens, and ones columns.
Grade 7

Place Value and Rounding Numbers

Place value shows the value of each digit in a number. Round down if the digit is less than 5, and …
Visual explanation of addition 6 + 6 + 6 = 18, highlighting summands and the sum.
Grade 7

Basic Arithmetic and Inverse Operations

Basic arithmetic includes 4 math operations: addition, subtraction, multiplication, and division…
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Factors and Multiples

Illustration explaining divisibility using bananas to represent division of 9 by 2 and 3, showing a remainder with 2 and no remainder with 3.
Grade 7

Divisibility and Divisibility Rules

Learn divisibility rules with clear examples. A number is divisible by 2 if its last digit is even…
Explanation and example of prime numbers, stating that 2 is the smallest prime number.
Grade 7

Prime Numbers and Prime Factorization

Prime numbers have exactly two factors: 1 and the number itself. Learn prime factorization to find…
Explanation that HCF is the biggest factor shared and LCM is the smallest multiple shared.
Grade 8

How to Find HCF and LCM

Highest Common Factor (HCF) is the greatest factor shared by numbers, and Lowest Common Multiple…

Powers and Roots

Explanation of the base 3 and index 4 in 3^4 that it is pronounced "three to the power of four".
Grade 7

Powers and Indices

Learn powers and indices, like 5³, where 5 is the base and 3 is the index or exponent. Discover…
Examples showing the square roots of 9 and 25, explained as non-negative numbers that when squared, return the original number.
Grade 11

Basics of Square Roots

The square root of a number is a non-negative value that, when squared, equals the number that…
Simplifying roots calculations for multiplication and division, with conditions for a and b.
Grade 11

Multiplying and Dividing Square Roots

Learn the formulas for multiplying and dividing square roots and how to use them to simplify root…
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Decimals

Decimals greater than 1 to fractions, showing conversion of 8.25 to 825/100, 165/20, and 33/4, and breaking 8.25 into 8 and 0.25 as 8 + 1/4.
Grade 8

Decimals and Fractions

Decimals are numbers with a whole part and a fractional part separated by a decimal point. Learn to …
Decimal places and place value chart showing number 12.348 with illustrations highlighting tenths, hundredths, and thousandths.
Grade 8

Comparing and Rounding Decimals

Rounding decimals is easy—check the digit to the right of your target place: round up if 5 or more, …
Shifting the decimal point in division and multiplication, showing how the decimal point shifts left for division and right for multiplication.
Grade 8

Movement of the Decimal Point

When multiplying decimals by 10, 100, or 1000, move the decimal point 1, 2, or 3 places to the right…
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Negative Numbers

Rational numbers explained with examples showing that fractions, integers, terminating decimals, and recurring decimals are rational numbers.
Grade 9

Rational Numbers and their location on a Number Line

What are rational numbers, their difference from irrational numbers, and how to represent them on a…
Number line showing negative and positive numbers from -5 to 5, with zero as neutral, labelled "Understanding Negative Numbers".
Grade 9

Adding and Subtracting Negative Numbers

Add and subtract negative numbers using a number line and rules for removing brackets when working…
Sign rules of multiplying and dividing negative numbers, showing odd negative signs give a negative result and even negative signs give a positive result.
Grade 9

Multiplying and Dividing Negative Numbers

Multiply and divide negative numbers using sign rules. Learn how an odd or even number of negatives …

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Basic Arithmetic
Factors and Multiples
Powers and Roots
Decimals
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