Kathryn
09-10-2011, 11:57 AM
This is how I teach my students to work these, and it works really well. If the puzzle says that there are 3 digits in the number, try writing 3 lines on your paper and putting possible numbers under each. Mark out numbers as you go ‘til you get the answer. Check this out to see what I mean: http://www.kathrynsdigitaldesigns.com/images/How-to-work-KDD.jpg
Whole number – a number such as 1487 or 215; cannot have fractions, decimals, or exponents (just your regular run-of-the-mill number ;-))
Digits – the numerals used to make up the whole number. In 3590, the digits are 3, 5, 9, and 0. The whole number is 3590. In this example...
the ones digit is 0
the tens digit is 9
the hundreds digit is 5
the thousands digit is 3
Sum – answer in addition
Difference – answer in subtraction
Product – answer in multiplication
Quotient – answer in division
Period - the three digits together between the commas in a number
Even numbers end with either 0, 2, 4, 6, or 8.
Odd numbers end in either 1, 3, 5, 7, or 9.
A square number is the product you get when you multiply two equal integers (whole numbers). e.g. 9 is a square number because 9=3x3.
A square root is the number that is multiplied by itself to get a square number.
(In 3x3=9, 9 is the square and 3 is the square root.)
The cube is the product when you multiply a number by itself twice. (5x5x5=125)
A cube root is the number that is multiplied by itself twice to get a cube.
(In 5x5x5=125, 125 is the cube of 5, and 5 is the cube root of 125.)
Prime numbers are numbers that are greater than 1 that are not divisible by any whole number except itself and 1. Some primes are 7, 11, and 23. 2 is the only even prime number.
Palindromic numbers are numbers that are the same forward and backwards such as 2442 or 676.
Divisibility Rules:
You can tell if a number is divisible by …
2 - if it is an even number.
3 - if you add up its digits and that number is divisible by 3.
4 - if the last two digits makes a number that is divisible by 4. For example, 35,624 is divisible by 4 because 24 is divisible by 4.
5 - if it ends in 0 or 5.
6 - if it is divisible 2 and 3 (see rules above).
9 - if you add up its digits and that number is divisible by 9.
(There are rules for 7 and 8 as well, but they’re more complicated, so it’s probably easier to just divide to see if it’s divisible.)
Math really is fun! Try this and you'll see! :love
Whole number – a number such as 1487 or 215; cannot have fractions, decimals, or exponents (just your regular run-of-the-mill number ;-))
Digits – the numerals used to make up the whole number. In 3590, the digits are 3, 5, 9, and 0. The whole number is 3590. In this example...
the ones digit is 0
the tens digit is 9
the hundreds digit is 5
the thousands digit is 3
Sum – answer in addition
Difference – answer in subtraction
Product – answer in multiplication
Quotient – answer in division
Period - the three digits together between the commas in a number
Even numbers end with either 0, 2, 4, 6, or 8.
Odd numbers end in either 1, 3, 5, 7, or 9.
A square number is the product you get when you multiply two equal integers (whole numbers). e.g. 9 is a square number because 9=3x3.
A square root is the number that is multiplied by itself to get a square number.
(In 3x3=9, 9 is the square and 3 is the square root.)
The cube is the product when you multiply a number by itself twice. (5x5x5=125)
A cube root is the number that is multiplied by itself twice to get a cube.
(In 5x5x5=125, 125 is the cube of 5, and 5 is the cube root of 125.)
Prime numbers are numbers that are greater than 1 that are not divisible by any whole number except itself and 1. Some primes are 7, 11, and 23. 2 is the only even prime number.
Palindromic numbers are numbers that are the same forward and backwards such as 2442 or 676.
Divisibility Rules:
You can tell if a number is divisible by …
2 - if it is an even number.
3 - if you add up its digits and that number is divisible by 3.
4 - if the last two digits makes a number that is divisible by 4. For example, 35,624 is divisible by 4 because 24 is divisible by 4.
5 - if it ends in 0 or 5.
6 - if it is divisible 2 and 3 (see rules above).
9 - if you add up its digits and that number is divisible by 9.
(There are rules for 7 and 8 as well, but they’re more complicated, so it’s probably easier to just divide to see if it’s divisible.)
Math really is fun! Try this and you'll see! :love