Grade Six Mathematics
Hello boys and girls, I hope you had a very productive and interesting week at school. Remember to always stay focused. This week we will begin by examining the answers to last week’s work.
Answers to last week’s work. Place Value Chart Note: Please let the periods be typed just on top of place value chart. The value of the 1 is one hundred million The value of the 3 is 300.
The zero is in the tens place to mark the place value since the number has no tens.
In expanded form, the number can be written as : - (6 -
100 000 000 + 40 000 000 + 5 000 000 + 600 000 + 70 000 + 8 000 + 300 + 9; or
(1 x 100 000 000) + (4 X 10 000 000) + (5x 1 000 000) + X 100 000) + (7x 10 000) + (8 x 1000) + (3 x 100) + (9 x 1) ; or
(1 x 108) + (4 x107) + (5 x 106) + ( 6 x105 ) + ( 7 x104 ) + ( 8 x 103) + ( 3 x 102) + ( 9 x 100)
The number 145 678 309 written in words is: one hundred forty five million, six hundred seventy- eight thousand, three hundred nine.
To separate each period in a number we can use a space or comma. When 1 000 is added to this number, the new number is 145 679 309. The four basic mathematical operations are: - - - - Addition ( + ) Subtraction ( -) Multiplication ( x) Division ( ÷) ( 1 000 000)
Addition and Subtraction Addition and subtraction are two complementary operations. We can actually define subtraction in terms of addition. Addition is simply the combination of distinct sets of like entities (and we must stress the word like). Thus, if we add one set of four squares to another set of five squares, we get a total of nine squares. (Or, if you prefer, substitute anything you like for “squares”—dogs, bananas, people, rocks, or anything else.) this case, the addends or summands are four squares and five squares. The equal sign (=) indicates that what is on its left and what is on its right are equal. On the right side is the sum, which is the result of the addition of the addends or summands. Of course, drawing pictures every time we wanted to represent an addition would be highly annoying (and in some cases impossible). Thus, instead of talking about a certain number of squares, apples, people, inches, or dollars) for instance, we can simply deal with the numbers. 4+5=9 Furthermore, note that the order in which we add the squares makes no difference. Whether we add four squares to five squares or vice versa, the result is always nine squares. Remember: The numbers that are added together are called addends or summands.
In mathematical language, addition is commutative. This means that we can add addends or summands in any order and always get the same result. For example, 4 + 5 + 2 = 11 5 +2 + 4 = 11 2 + 4 + 5 = 11 Here, 9 and 5 are the terms of the operation, and 4 is the difference. Unlike addition, subtraction is not commutative. That is to say, 9 – 5 and 5 – 9 are not the same-in fact, they yield quite different results! (The symbol ≠ below simply means “does not equal.”)