I am a 6 digit number between 600 000 and 700 000.My ones digit and tens digit have no values.One of my digits has a value of 600 000.My ten thousands digit is one more than my thousands digit but if both digits are multiplied,the product is the same as the digit in the hundred thousands place.My hundreds digit is the sum of my thousands digit and tens digit.What number am i?______
so. what have you got so far?
How can a digit have no value?
665,830 my answer
Let's break down the given clues step by step to find the 6-digit number.
1. The ones digit and tens digit have no values.
This means that these two digits are zero.
2. One of the digits has a value of 600,000.
Since we are looking for a 6-digit number, the only digit that can have a value of 600,000 is the hundred thousands place.
3. The ten thousands digit is one more than the thousands digit, and their product is the same as the digit in the hundred thousands place.
Let's consider the possible values for the ten thousands and thousands digits. Since their product gives 600,000, the possible pairs are (600, 1000), (300, 2000), or (200, 3000). However, the ten thousands digit is one more than the thousands digit, so only (200, 3000) is valid.
4. The hundreds digit is the sum of the thousands digit and tens digit.
Since the thousands digit is 3000 and the tens digit is 200, the sum is 3200.
Now we have all the digits: 2 in the 10 thousands place, 3 in the thousands place, 2 in the hundreds place, and 0 in the ones and tens place.
Therefore, the number is 230,200.
To find the number described, let's break down the given information step by step:
1. "I am a 6 digit number between 600 000 and 700 000."
This tells us that the number is in the range from 600,000 to 699,999.
2. "My ones digit and tens digit have no values."
Since the ones and tens digits have no values, they must both be zero.
3. "One of my digits has a value of 600 000."
This means one of the digits in the number is 600,000. The only digit that can be this value is the hundred thousands digit.
4. "My ten thousands digit is one more than my thousands digit but if both digits are multiplied, the product is the same as the digit in the hundred thousands place."
From this, we can gather that the dilemma lies between the ten thousands and thousands digit. Since multiplying these two digits gives the same value as the digit in the hundred thousands place (600,000), there are two possibilities: (1, 600) or (2, 300). However, we know that the hundred thousands digit is 600, so the correct option is (2, 300).
5. "My hundreds digit is the sum of my thousands digit and tens digit."
Since the thousands digit is 0 and the tens digit is also 0, the hundreds digit must be 0.
Putting all the information together, we find that the mystery number is 630,000.