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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 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…
Simplifying roots calculations for multiplication and division, showing ?a × ?b = ?(a×b) and ?a ÷ ?b = ?(a÷b), 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…
Understanding the nth root and fractional indices with equations showing how fractional indices relate to nth roots.
Grade 11

The nth Root and Fractional Indices

Calculating nth roots, the relationship between roots and fractional indices, and provides practical…
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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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