Number forms are the different ways of writing whole numbers. See below the six different ways of writing the same whole number.
The following table shows the number forms for a number much bigger than 324. Notice that in the figure above, we do not have a short word form for 324. However, we do have a short word form for the number 645927.
The short word form is used for numbers greater than one thousand.
Number Forms | Example |
Standard form | 645,927 |
Word form or written form | six hundred fourty-five thousand, nine hundred twenty-seven |
Short word form | 645 thousand, 927 |
Expanded form | (6 × 100,000) + (4 × 10,000) + (5 × 1000) + (9 × 100) + (2 × 10) + (7 × 1) |
Exponential form | (6 × 10^{5}) + (4 × 10^{4}) + (5 × 10^{3}) + (9 × 10^{2}) + (2 × 10^{1}) + (7 ×10^{0}) |
Scientific form | 6.45927 × 10^{5} |
Example #1
Show the six different ways of writing 572,048
Solution
Standard form: 572048
Word form: Five hundred seventy-two thousand, forty-eight
Short word form: 572 thousand, 48
Expanded form: (5 × 100000) + (7 × 10000) + (2 × 1000) + (0 × 100) + (4 × 10) + (8 × 1)
Exponential form: (5 × 10^{5}) + (7 × 10^{4}) + (2 × 10^{3}) + (0 × 10^{2}) + (4 × 10^{1}) + (8 × 10^{0})
Scientific form: 5.72048 × 10^{5}
Example #2
Show the six different ways of writing 8,796,532,148
Solution
Standard form: 8,796,532,148
Word form: Eight billion, seven hundred ninety-six million, five hundred thirty-two thousand, one hundred forty-eight
Short word form: 8 billion, 796 million, 532 thousand, 148
Expanded form: (8 × 1000000000) + (7 × 100000000) + (9 × 10000000) + (6 × 1000000) + (5 × 100000) + (3 × 10000) + (2 × 1000) + (1 × 100) + (4 × 10) + (8 × 1)
Exponential form: (8 × 10^{9}) + (7 × 10^{8}) + (9 × 10^{7}) + (6 × 10^{6}) + (5 × 10^{5}) + (3 × 10^{4}) + (2 × 10^{3}) + (1 × 10^{2}) + (4 × 10^{1}) + (8 × 10^{0})
Scientific form: 8.796532148 × 10^{9}
Jan 26, 23 11:44 AM
Jan 25, 23 05:54 AM