The task in this image asks you to "copy these numbers and write a number in each space, still keeping the order." For each set of numbers provided, I can suggest a number that fits in the sequence while maintaining order.

Here are the solutions with explanations:

a) 276 100, 285 365, (missing number), 291 287

• These numbers are increasing. The missing number could logically fit between 285 365 and 291 287.
  A reasonable choice: 288 000.

b) 346 508, 347 000, (missing number), 347 580

• The sequence increases slightly each time. The missing number could be: 347 300.

c) 208 156, 218 386, (missing number), 228 541

• The difference between the numbers is approximately 10,000. A logical choice for the missing number: 223 000.

d) 528 387, 528 598, (missing number), 528 782

• The sequence increases steadily within the 528 000 range. A good fit: 528 700.

e) 811 376, 876 361, (missing number), 904 326

• The missing number lies between 876 361 and 904 326, perhaps around 890 000.

f) 989 532, 991 638, (missing number), 994 762

• Numbers increase gradually, and the missing number could be: 993 000.

Would you like further clarifications or explanations about how the sequences were analyzed?

Questions to Expand:

1. What mathematical strategies can be used to determine a pattern in a sequence?
2. How would you calculate the differences between numbers in a sequence?
3. Can you provide examples of other sequences and fill in missing numbers?
4. How does rounding affect the logical placement of numbers in sequences like these?
5. What are the practical applications of number sequences in real-world scenarios?

Tip:

When working with sequences, always check for a consistent pattern, such as arithmetic or geometric progressions, or subtle rules like rounding or specific intervals!