Practice A

Consolidation for Lessons 1–5

Use place-value reasoning, comparisons and number lines. Continue to patterns after you can explain your answers.

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Practice A · 16 questions

Problems

A mixed assessment of the competencies developed so far.

P1 Write 6,042 in words.
Show answer and reasoning
Answer: six thousand forty‑two
Read the thousands group, then the remaining hundreds/tens/ones: six thousand forty‑two.
P2 Write “five thousand seventy‑nine” using digits.
Show answer and reasoning
Answer: 5,079
The words describe 5,000 + 70 + 9, which is 5,079.
P3 In 7,385, what is the value of the digit in the hundreds place?
Show answer and reasoning
Answer: 300
The hundreds digit is 3; each unit has value 100, so its value is 3 × 100 = 300.
P4 In 8,046, what is the value of the digit in the tens place?
Show answer and reasoning
Answer: 40
The tens digit is 4; each unit has value 10, so its value is 4 × 10 = 40.
P5 Expand 9,052 into the sum of its nonzero place values.
Show answer and reasoning
Answer: 9,000 + 50 + 2
Use thousands, hundreds, tens, ones in order. Zero-value places may be omitted: 9,000 + 50 + 2.
P6 What number is 4 thousands + 3 hundreds + 8 tens + 1 ones?
Show answer and reasoning
Answer: 4,381
Add 4,000 + 300 + 80 + 1 = 4,381.
P7 How many complete hundreds are in 5,400?
Show answer and reasoning
Answer: 54
Each hundred is worth 100. Divide 5,400 by 100: there are 54 complete hundreds.
P8 Insert <, >, or =: 5,301 ___ 5,310.
Show answer and reasoning
Answer: <
Compare digits from the highest place that differs. 5,301 < 5,310.
P9 Arrange from least to greatest: 8,070, 8,700, 8,007, 8,077.
Show answer and reasoning
Answer: 8,007 < 8,070 < 8,077 < 8,700
Compare the thousands place first, then hundreds, tens, and ones: 8,007, 8,070, 8,077, 8,700.
P10 A number line begins at 1,250 and each tick increases by 250. What is the value at tick 3 after the start?
Show answer and reasoning
Answer: 2,000
Add 3 intervals of 250: 1,250 + 3 × 250 = 2,000.
P11 A number line runs from 3,000 to 4,500 in 5 equal intervals. What is the step per interval?
Show answer and reasoning
Answer: 300
The total distance is 1,500. Divide by 5 equal intervals: 300.
P12 What number is exactly halfway between 6,300 and 6,900?
Show answer and reasoning
Answer: 6,600
The distance is 600, so add half (300) to 6,300.
P13 Write one number between 5,009 and 5,011.
Show answer and reasoning
Answer: 5,010
The only whole number strictly between these consecutive bounds is 5,010.
P14 What is the value of the second 2 in 2,224?
Show answer and reasoning
Answer: 200
From left to right the second 2 is in the hundreds place.
P15 Explain whether 5 thousands + 12 hundreds + 3 ones equals 6,203.
Show answer and reasoning
Answer: Yes
5,000 + 1,200 + 3 = 6,203.
P16 How many equal 100-unit intervals are needed to go from 4,200 to 5,000?
Show answer and reasoning
Answer: 8
Distance 800 ÷ 100 = 8 spaces.

Continue to Number Patterns →Answer key