Having a problem writing an expanded number in notation in descending order.
Ex. 92,563,174.
I know the placements and the number but have a problem when it comes to write it. Can you please help. I would appreciate an example so much.
sort first on the number of digits, then on the first digit.
923 > 91 > 9
(923 > 762 > 421) > (91 > 63 > 12) > (9 > 3)
Thank you Steve.
Actually, you need to sort on the length first, then on all the digits in order, so to expand the example a bit,
(923>921>919>913 > 762 > 421>413>409) > (91>90 > 63>61 > 12>10) > (9 > 3)
Absolutely! I can definitely help you with that. To write a number in expanded notation in descending order, you'll need to break down the number into its place values.
Let's take the example number you provided: 92,563,174.
Starting from the leftmost digit, which is the hundred millions place, we can determine the value of that digit by multiplying it by its corresponding place value: 1 * 100,000,000 = 100,000,000.
So we can first write the expanded notation for the hundred millions place: 1 * 100,000,000.
Next, let's move to the tens millions place. The value of this digit is determined by multiplying it by its corresponding place value: 7 * 10,000,000 = 70,000,000.
Now, we can write the expanded notation for the tens millions place: 7 * 10,000,000.
Continuing this process, we'll move through the remaining place values, including millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones.
Here's the expanded notation for each of these place values:
- Millions place: 5 * 1,000,000
- Hundred thousands place: 6 * 100,000
- Ten thousands place: 3 * 10,000
- Thousands place: 5 * 1,000
- Hundreds place: 6 * 100
- Tens place: 3 * 10
- Ones place: 4 * 1
Putting it all together, the expanded notation for the number 92,563,174 in descending order is:
(1 * 100,000,000) + (7 * 10,000,000) + (5 * 1,000,000) + (6 * 100,000) + (3 * 10,000) + (5 * 1,000) + (6 * 100) + (3 * 10) + (4 * 1).
Simplifying the expression, we get:
100,000,000 + 70,000,000 + 5,000,000 + 600,000 + 30,000 + 5,000 + 600 + 30 + 4.
And the final result is:
177,635,634.
I hope this explanation helps you understand how to write a number in expanded notation in descending order. Let me know if you have any further questions!