Practice B

Consolidation for patterns and rounding

Review Lessons 6–9 and the interplay between different rounding places.

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Practice B · 16 questions

Problems

A mixed assessment of the competencies developed so far.

P1 Find the next two numbers: 2,150, 2,325, 2,500, 2,675, ___, ___.
Show answer and reasoning
Answer: 2,850, 3,025
The same signed step, +175, connects consecutive terms. Continue twice.
P2 Find the next two numbers: 8,700, 8,450, 8,200, 7,950, ___, ___.
Show answer and reasoning
Answer: 7,700, 7,450
The same signed step, -250, connects consecutive terms. Continue twice.
P3 Complete the pattern: 3,300, ___, 3,750, 3,975.
Show answer and reasoning
Answer: 3,525
The first and third terms span two equal steps: (3,750 − 3,300) ÷ 2 = 225 per step.
P4 Round 3,499 to the nearest thousand.
Show answer and reasoning
Answer: 3,000
It lies between 3,000 and 4,000; the midpoint is 3,500. With halfway values rounded up, choose 3,000.
P5 Round 3,500 to the nearest thousand.
Show answer and reasoning
Answer: 4,000
It lies between 3,000 and 4,000; the midpoint is 3,500. With halfway values rounded up, choose 4,000.
P6 Round 9,550 to the nearest hundred.
Show answer and reasoning
Answer: 9,600
It lies between 9,500 and 9,600; the midpoint is 9,550. With halfway values rounded up, choose 9,600.
P7 Round 9,450 to the nearest hundred.
Show answer and reasoning
Answer: 9,500
It lies between 9,400 and 9,500; the midpoint is 9,450. With halfway values rounded up, choose 9,500.
P8 Round 4,785 to the nearest ten.
Show answer and reasoning
Answer: 4,790
It lies between 4,780 and 4,790; the midpoint is 4,785. With halfway values rounded up, choose 4,790.
P9 Round 9,004 to the nearest ten.
Show answer and reasoning
Answer: 9,000
It lies between 9,000 and 9,010; the midpoint is 9,005. With halfway values rounded up, choose 9,000.
P10 A whole number rounds to 6,200 to the nearest hundred. What is the smallest whole number it could have been?
Show answer and reasoning
Answer: 6,150
The interval of whole numbers rounding to 6,200 starts halfway below, at 6,150, and ends at 6,249 (with halfway values rounded up).
P11 Round 6,498 to the nearest ten and nearest thousand.
Show answer and reasoning
Answer: 6,500 and 6,000
It rounds up to the nearest ten, but is below 6,500 so rounds down to the nearest thousand.
P12 Why is 4,450 to the nearest thousand 4,000, though nearest hundred is 4,500?
Show answer and reasoning
Answer: Different rounding places have different midpoints
4,450 is below the thousand midpoint (4,500), but at the hundred midpoint (4,450). Use the original number for both.
P13 Give the greatest whole number that rounds to 3,000 to the nearest thousand.
Show answer and reasoning
Answer: 3,499
3,500 is the first value rounding to 4,000.
P14 Find the smallest number that rounds to 9,200 to the nearest hundred.
Show answer and reasoning
Answer: 9,150
9,150 is halfway between 9,100 and 9,200, so it rounds upward.
P15 What is one more than 9,999?
Show answer and reasoning
Answer: 10,000
Regroup 10 ones, tens, hundreds, and thousands across the boundary.
P16 A pattern decreases 125 each time, starting at 1,000. What is its fifth term?
Show answer and reasoning
Answer: 500
Fifth term is four steps after the first: 1,000 − 4 × 125 = 500.

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