Answer :
Sure, let's carefully examine the relationships between the given digits in the numbers 6,600 and 44,000.
### The [tex]$6$[/tex]s in 6,600:
1. First Digit '6' in the Thousands Place:
- The value of the first '6' is found by considering its place value.
- It is in the thousands place, so its value is [tex]\( 6 \times 1000 = 6000 \)[/tex].
2. Second Digit '6' in the Hundreds Place:
- The second '6' is in the hundreds place.
- Although it contributes to the number's overall value, we focus on the first '6' for this problem. The second '6' in 600 matters less for the specific value we're discussing here.
### The 4s in 44,000:
1. First Digit '4' in the Ten-Thousands Place:
- The value of the first '4' is determined by its position.
- It is in the ten-thousands place, so its value is [tex]\( 4 \times 10,000 = 40,000 \)[/tex].
2. Second Digit '4' in the Thousands Place:
- The value of the second '4' is found by its position.
- It is in the thousands place, so its value is [tex]\( 4 \times 1000 = 4000 \)[/tex].
### Summary:
- For the number 6,600:
- The first '6' (thousands place) represents a value of 6000.
- For the number 44,000:
- The first '4' (ten-thousands place) represents a value of 40,000.
- The second '4' (thousands place) represents a value of 4000.
So, the overall values contributed by these digits in their respective places are 6000 for the '6' in 6,600, and 40,000 and 4000 for the '4's in 44,000.
### The [tex]$6$[/tex]s in 6,600:
1. First Digit '6' in the Thousands Place:
- The value of the first '6' is found by considering its place value.
- It is in the thousands place, so its value is [tex]\( 6 \times 1000 = 6000 \)[/tex].
2. Second Digit '6' in the Hundreds Place:
- The second '6' is in the hundreds place.
- Although it contributes to the number's overall value, we focus on the first '6' for this problem. The second '6' in 600 matters less for the specific value we're discussing here.
### The 4s in 44,000:
1. First Digit '4' in the Ten-Thousands Place:
- The value of the first '4' is determined by its position.
- It is in the ten-thousands place, so its value is [tex]\( 4 \times 10,000 = 40,000 \)[/tex].
2. Second Digit '4' in the Thousands Place:
- The value of the second '4' is found by its position.
- It is in the thousands place, so its value is [tex]\( 4 \times 1000 = 4000 \)[/tex].
### Summary:
- For the number 6,600:
- The first '6' (thousands place) represents a value of 6000.
- For the number 44,000:
- The first '4' (ten-thousands place) represents a value of 40,000.
- The second '4' (thousands place) represents a value of 4000.
So, the overall values contributed by these digits in their respective places are 6000 for the '6' in 6,600, and 40,000 and 4000 for the '4's in 44,000.
