Chapter review

Thirty original problems spanning every Chapter 1 competency

Open-book preparation is appropriate. Use this review before attempting the independent practice examination.

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Review · 30 questions

Problems

A mixed assessment of the competencies developed so far.

R1 Write 4,062 in words.
Show answer and reasoning
Answer: four thousand sixty‑two
Read the thousands group, then the remaining hundreds/tens/ones: four thousand sixty‑two.
R2 Write “nine thousand fifteen” using digits.
Show answer and reasoning
Answer: 9,015
The words describe 9,000 + 10 + 5, which is 9,015.
R3 In 7,450, what is the value of the digit in the tens place?
Show answer and reasoning
Answer: 50
The tens digit is 5; each unit has value 10, so its value is 5 × 10 = 50.
R4 In 8,029, what is the value of the digit in the hundreds place?
Show answer and reasoning
Answer: 0
The hundreds digit is 0; each unit has value 100, so its value is 0 × 100 = 0.
R5 Expand 6,307 into the sum of its nonzero place values.
Show answer and reasoning
Answer: 6,000 + 300 + 7
Use thousands, hundreds, tens, ones in order. Zero-value places may be omitted: 6,000 + 300 + 7.
R6 What number is 6 thousands + 11 hundreds + 2 tens + 4 ones?
Show answer and reasoning
Answer: 7,124
Add 6,000 + 1,100 + 20 + 4 = 7,124.
R7 How many complete hundreds are in 8,500?
Show answer and reasoning
Answer: 85
Each hundred is worth 100. Divide 8,500 by 100: there are 85 complete hundreds.
R8 Insert <, >, or =: 5,299 ___ 5,300.
Show answer and reasoning
Answer: <
Compare digits from the highest place that differs. 5,299 < 5,300.
R9 Insert <, >, or =: 9,009 ___ 9,090.
Show answer and reasoning
Answer: <
Compare digits from the highest place that differs. 9,009 < 9,090.
R10 Arrange from least to greatest: 4,305, 4,053, 4,530, 4,350.
Show answer and reasoning
Answer: 4,053 < 4,305 < 4,350 < 4,530
Compare the thousands place first, then hundreds, tens, and ones: 4,053, 4,305, 4,350, 4,530.
R11 A number line runs from 1,600 to 2,800 in 4 equal intervals. What is the step per interval?
Show answer and reasoning
Answer: 300
The total distance is 1,200. Divide by 4 equal intervals: 300.
R12 A number line begins at 4,700 and each tick increases by 125. What is the value at tick 4 after the start?
Show answer and reasoning
Answer: 5,200
Add 4 intervals of 125: 4,700 + 4 × 125 = 5,200.
R13 What is halfway between 7,250 and 7,750?
Show answer and reasoning
Answer: 7,500
Distance 500; half is 250 above 7,250.
R14 Find the next two numbers: 2,400, 2,575, 2,750, 2,925, ___, ___.
Show answer and reasoning
Answer: 3,100, 3,275
The same signed step, +175, connects consecutive terms. Continue twice.
R15 Complete the pattern: 8,900, ___, 8,400, 8,150.
Show answer and reasoning
Answer: 8,650
The first and third terms span two equal steps: (8,400 − 8,900) ÷ 2 = -250 per step.
R16 Find the next two numbers: 6,900, 6,675, 6,450, 6,225, ___, ___.
Show answer and reasoning
Answer: 6,000, 5,775
The same signed step, -225, connects consecutive terms. Continue twice.
R17 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.
R18 Round 7,500 to the nearest thousand.
Show answer and reasoning
Answer: 8,000
It lies between 7,000 and 8,000; the midpoint is 7,500. With halfway values rounded up, choose 8,000.
R19 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.
R20 Round 4,851 to the nearest hundred.
Show answer and reasoning
Answer: 4,900
It lies between 4,800 and 4,900; the midpoint is 4,850. With halfway values rounded up, choose 4,900.
R21 Round 7,485 to the nearest ten.
Show answer and reasoning
Answer: 7,490
It lies between 7,480 and 7,490; the midpoint is 7,485. With halfway values rounded up, choose 7,490.
R22 Round 9,996 to the nearest ten.
Show answer and reasoning
Answer: 10,000
It lies between 9,990 and 10,000; the midpoint is 9,995. With halfway values rounded up, choose 10,000.
R23 A whole number rounds to 5,000 to the nearest thousand. What is the smallest whole number it could have been?
Show answer and reasoning
Answer: 4,500
The interval of whole numbers rounding to 5,000 starts halfway below, at 4,500, and ends at 5,499 (with halfway values rounded up).
R24 A whole number rounds to 7,200 to the nearest hundred. What is the smallest whole number it could have been?
Show answer and reasoning
Answer: 7,150
The interval of whole numbers rounding to 7,200 starts halfway below, at 7,150, and ends at 7,249 (with halfway values rounded up).
R25 Write the least four-digit number using the digits 0, 2, 6, 8 exactly once.
Show answer and reasoning
Answer: 2,068
Thousands digit cannot be zero; use 2 first, then the remaining digits ascending.
R26 How many complete tens are in 5,760?
Show answer and reasoning
Answer: 576
5,760 ÷ 10 = 576; distinguish count of tens from the tens digit.
R27 What is the correct thousand-rounding of 4,450?
Show answer and reasoning
Answer: 4,000
The thousand midpoint is 4,500; 4,450 is below it.
R28 How many intervals are there among six consecutive tick marks?
Show answer and reasoning
Answer: 5
Intervals are gaps between adjacent marks, so one fewer than the number of ticks.
R29 Round 2,764 to the nearest ten, hundred, and thousand.
Show answer and reasoning
Answer: 2,760; 2,800; 3,000
Use 2,764 for each requested place; compare with the relevant midpoints.
R30 A number is 150 more than 4,850. What is it?
Show answer and reasoning
Answer: 5,000
4,850 + 150 = 5,000; crosses a thousand boundary.

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