look at the pattern of shaded numbers. Use place value to describe how the numbers change
501 502 503 504 505 506 507 508 509 510
511 512 513 514 515 516 517 518 519 520
521 522 523 524 525 526 527 528 529 530
531 532 533 534 535 536 537 538 539 540
541 542 543 544 545 546 547 548 549 550
shaded numbers are (509 517 525 533 541)
each is 8 more than the previous one.
To describe how the numbers change in the shaded column, we need to observe the pattern in their place values.
In the given sequence, the shaded numbers are:
509, 517, 525, 533, 541
Let's analyze the pattern in their place values:
1. The units digit (ones place) increases by 8 each time: 9, 7, 5, 3, 1.
2. The tens digit (tens place) remains constant at 0.
3. The hundreds digit (hundreds place) increases by 1 each time: 5, 5, 5, 5, 5.
Based on this observation, we can conclude that the shaded numbers change by adding 1 to the hundreds place, subtracting 2 from the ones place, and keeping the tens place constant at 0.
Therefore, we can obtain the shaded numbers by starting with 509 and applying the following steps repeatedly:
1. Add 1 to the hundreds place.
2. Subtract 2 from the ones place.
Now, let's verify this pattern with the remaining shaded numbers:
509 + 1 - 2 = 508
508 + 1 - 2 = 507
507 + 1 - 2 = 506
506 + 1 - 2 = 505
As we can see, the pattern holds true for each subsequent shaded number in the given sequence.