The first digit of two different numbers is in the hundreds millions place. Both numbers contain the same digits. Can you determine the greater of the two numbers and Explain.
Just start with the left-most digit of each number, and compare corresponding digits. The first time one is greater than the other, that number is the greater.
You know that, say, 6 > 2
So, if your two numbers are something like
7836219
7832...
you can immediately see that the first is greater, no matter what follows from there on to the right.
To determine the greater of two numbers where the first digit is in the hundreds millions place and both numbers contain the same digits, you need to compare the remaining digits in the two numbers.
Let's assume the two numbers are A and B.
Since both numbers contain the same digits, the remaining digits after the hundreds millions place will be in the tens, thousands, and millions places.
To compare A and B, start from the left side of the hundreds millions place and compare the remaining digits one by one.
If at any position (tens, thousands, or millions) in the two numbers, one number has a larger digit than the other, then that number is greater. This is because the greater digit will contribute more to the value of the overall number.
For example, let's assume A = 304,567,891 and B = 205,678,914.
Starting from the left side of the hundreds millions place, we compare the digits one by one:
A: 3 - B: 2 (A is greater because 3 is greater than 2)
A: 0 - B: 0 (continue to the next digit)
A: 4 - B: 5 (B is greater because 5 is greater than 4)
Since B has a greater digit in the millions place, B is the greater number.
In this case, B = 205,678,914 is the greater number.
Therefore, by comparing the digits after the hundreds millions place, you can determine which of the two numbers is greater.