Divisibility rules help students quickly determine whether one number can be divided evenly by another without doing long division.
A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8, which means it is an even number.
A number is divisible by 3 if the sum of its digits is divisible by 3.
For divisibility by 4, only the last two digits matter—if those digits are divisible by 4, the whole number is as well.
A number is divisible by 5 if it ends in 0 or 5.
To be divisible by 6, a number must be divisible by both 2 and 3.
A number is divisible by 9 when the sum of its digits is divisible by 9. For divisibility by 10, the rule is simple: the number must end in 0.
Finally, a number is divisible by 8 if the last three digits are divisible by 8 or if the number ends in three zeros. Using these rules allows students to quickly check divisibility and build strong number sense skills.
• Converting a Decimal to a Fraction: The process involves placing the decimal value over one and then multiplying both the numerator and the denominator by a power of 10 to eliminate the decimal. This is determined by the number of places the decimal point needs to be moved to the right.
• Simplifying the Fraction: The resulting fraction is then simplified by dividing both the numerator and the denominator by their common factors until the fraction is in its simplest form.
• Final Result: The conversion of 0.7 to a fraction results in 7/10 after simplification.
• Converting a Decimal to a Fraction: The process involves placing the decimal value over one and then multiplying both the numerator and the denominator by a power of 10 to eliminate the decimal. This is determined by the number of places the decimal point needs to be moved to the right.
• Simplifying the Fraction: The resulting fraction is then simplified by dividing both the numerator and the denominator by their common factors until the fraction is in its simplest form.
• Final Result: The conversion of 0.4 to a fraction results in 2/5 after simplification.
• Converting a Decimal to a Fraction: The process involves placing the decimal value over one and then multiplying both the numerator and the denominator by a power of 10 to eliminate the decimal. This is determined by the number of places the decimal point needs to be moved to the right.
• Simplifying the Fraction: The resulting fraction is then simplified by dividing both the numerator and the denominator by their common factors until the fraction is in its simplest form.
• Final Result: The conversion of 0.125 to a fraction results in 1/8 after simplification.
Summary of my video covering when to use PEMDAS or SADMEP.
• PEMDAS for Simplification and Evaluation: The order of operations, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), is used when simplifying or evaluating expressions. This involves working through the operations from left to right in the PEMDAS order.
• Inverse Order of Operations (SADMEP) for Solving: When solving equations for a variable (like 'x'), the inverse order of operations (SADMEP - Subtraction, Addition, Division, Multiplication, Exponents, Parentheses) is applied. This means starting with addition and subtraction, then moving to multiplication and division, and so on.
• Context Dictates Method: The choice between PEMDAS and SADMEP depends on the problem's goal. Use PEMDAS for simplifying or evaluating expressions, and SADMEP for solving equations to find the value of an unknown variable.
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