Grade Six Mathematics
1. 1. 2. 3. 2. 4. 3. 5. 4. 6. 5. 7. 6. 8. Hello Boys and Girls! I hope that you were able to complete last week’s work successfully. This week, we will look at the Number System and Standard Form.
The Number System
A digit is one of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. All numbers are made up of one or more digits. Numbers such as 2 have one digit, whereas numbers such as 89 have two digits. To understand what a number really means, you need to understand what the digits represent in a given number.
The position of each digit in a number tells its value and place value. We can use a like the one below to easily see the place value for each digit. The place values for the digits in 691 572 403 are shown in this chart. The face value is the digit that we see - the actual value of a digit. In the number 691 572 403: Face value of 1 = 1 Place value of 1 = millions Value or total value of 1 = 1 000 000 or One million.
Standard Form Periods and Standard Form
The standard form of a number refers to a type of notation in which digits are separated into groups of three. These groups of three digits are known as periods. For example, 893 450 243 has three periods, with three digits in each period.
Converting Standard Form to Word Names We often use word names to write numbers. A word name for 42 is “forty-two.” The total number of weeks in a year, 52, is written as “fifty-two.”
For whole numbers with three digits, use the word “hundred” to describe how many hundreds there are in the number. For example, for the number of days in a normal year, 365, the digit 3 is in the hundreds place. The word name for the number is “three hundred sixty-five.”
For whole numbers with four digits, begin the name with the number of thousands, followed by the period name, as in the example below.
For word names of greater numbers, begin at the left with the greatest period. For each period, write the one- to three-digit number in the period, and then the period name. See the example below. Another example is: Now, look at the questions and answers below. Your challenging task will be to state how the answers were calculated.