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Place value to 1,000 and to 1,000,000

Math • Counting & Place Value • Transitional Reasoning • 5 questions

Place value to 1,000 and to 1,000,000 Transitional Reasoning Download PDF

Math · Number Sense & Operations · Math · Counting & Place Value

5 Math practice questions on Place value to 1,000 and to 1,000,000. Questions that build towards applied reasoning.

Questions

  1. 1.

    Four environmental monitoring stations record their annual treated water volumes in cubic meters using different data formats. Station P records an expanded value of 400,000 + 70,000 + 2,000 + 80 cubic meters, Station Q records four hundred seventeen thousand, eighty-two cubic meters, Station R records 4 hundred thousands, 7 thousands, and 28 tens cubic meters, and Station S records 470,280 cubic meters. Which list correctly orders the four stations from least to greatest based on their recorded water volumes?

    • A) Station Q, Station R, Station S, Station P
    • B) Station R, Station S, Station Q, Station P
    • C) Station R, Station Q, Station P, Station S
    • D) Station R, Station Q, Station S, Station P
  2. 2.

    A quality-control engineer at an aerospace facility must recover a faded six-digit calibration code using three recorded place-value specifications. In the thousands period, the digit in the hundred thousands place is 6, the digit in the ten thousands place is 3, and the digit in the thousands place is half the digit in the hundred thousands place. In the units period, the value of the hundreds digit is 500, the tens digit is 4 less than the hundred thousands digit, and the ones digit is the difference between the thousands digit and the tens digit. Which number represents the complete six-digit calibration code?

    • A) 636,521
    • B) 633,521
    • C) 633,542
    • D) 363,521
  3. 3.

    A regional food bank receives donations packaged into standard shipping units: crates of 100,000 items, cartons of 10,000 items, boxes of 100 items, and bags of 10 items. During a seasonal intake, workers log 4 crates, 18 cartons, 25 boxes, and 6 bags, with zero individual items left over. What is the total number of donated items written in standard form?

    • A) 418,256
    • B) 482,560
    • C) 580,560
    • D) 582,560
  4. 4.

    A municipal archive cataloged 853,290 historical records in its database. Due to a transcription error, the digit in the ten thousands place and the digit in the hundreds place were swapped. How does the newly recorded number compare to the original record?

    • A) The new number is 823,590, which is 30,000 less than the original record.
    • B) The new number is 852,390, which is 900 less than the original record.
    • C) The new number is 835,290, which is 18,000 less than the original record.
    • D) The new number is 823,590, which is 29,700 less than the original record.
  5. 5.

    A meteorological station recorded an annual atmospheric particle count displayed as 563,420 on its digital monitor. During a data audit, a researcher compares the contribution of individual digits based on their place value within the recorded measurement. Specifically, the researcher analyzes the digit 6 and the digit 2 in this six-digit number. What is the value of the digit 6, and how many times greater is it than the value of the digit 2?

    • A) The digit 6 represents 6,000, which is 300 times the value of the digit 2.
    • B) The digit 6 represents 60,000, which is 300 times the value of the digit 2.
    • C) The digit 6 represents 60,000, which is 3,000 times the value of the digit 2.
    • D) The digit 6 represents 600,000, which is 30,000 times the value of the digit 2.