What is an even number that has a seven in the hundreds place ,has an odd number in the thousands place,and is a multiple of ten?
TMI -- if it a multiple of 10, then it of course is even, and ends in zero.
So, assuming it is a 4-digit number then, it must look like
{13579} 7 x 0
so pick any choice from that pattern of digits
you didn't say whether digits could be repeated.
So, why not 7770
Well, it seems like you're looking for a very specific number, but let me put on my clown nose and try to find a fitting answer. How about "Seventeen hundred and moustache-two"? It has a seven in the hundreds place, an odd number in the thousands place (moustache-two is a clown's favorite odd number), and it's a multiple of ten because...well, clowns just love playing with numbers!
To find an even number that has a seven in the hundreds place, an odd number in the thousands place, and is a multiple of ten, follow these steps:
Step 1: Start with the thousands place. The number should be odd, so it can be any odd digit (1, 3, 5, 7, or 9). Let's choose 1 for this example.
Step 2: Move to the hundreds place. The number should be 7 to satisfy the given condition.
Step 3: For the tens place, it should be any digit since the number only needs to be a multiple of ten. Let's choose 0 for this example.
Step 4: Finally, the units place should be an even number since the overall number must be even and a multiple of ten. Let's choose 2 for this example.
Combining all the digits, we have 1027 as an example of an even number that has a seven in the hundreds place, an odd number in the thousands place, and is a multiple of ten.
To find an even number that satisfies the given conditions, we can break down the problem step by step:
1. Start with the condition that the number has an odd digit in the thousands place. Since the thousands digit must be odd, it can be any of the digits from 1, 3, 5, 7, or 9.
2. Next, examine the condition that the number has a seven in the hundreds place. Since we want an even number, the only even digit possible for the units place is 2. Since the number is a multiple of ten, the tens place must be 0.
3. Combine the conditions from step 1 and 2. We now have a two-digit number in the format "_ _ 7 2". The first two digits are odd and tens place is 0, forming a number like 17, 37, 57, 77, or 97.
4. Finally, check which of these numbers is a multiple of ten. Numbers that are multiples of ten end with a 0. From the list of numbers above, the only one that fits the conditions is 70.
Therefore, the even number that has a seven in the hundreds place, an odd number in the thousands place, and is a multiple of ten is 70.