Forms
Write 45,207 in expanded form
45,207 = 40,000 + 5,000 + 200 + 7
What is the value of the 7 in 372,456?
The value of the 7 in 372,456 is 70,000
Fill in: 43,093 >/=/< 43,903.
43,093 < 43,903
Round 67 to the nearest 10.
70
Explain why 43,093 is less than 43,903.
Compare hundreds place: 0 < 9, so 43,093 < 43,903
Write 62,093 in word form.
sixty-two thousand, ninety-three
In 698,761, which digit is 10× greater than the 6 in the ten-thousands?
The 6 in the hundred-thousands place (its value, 600,000, is 10× a 6 in the ten-thousands place, 60,000—this highlights the ×10 place relationship)
True or False: 94,350 = 94,350.
True
Round 13,999 to the nearest 10,000.
10,000
Write a number that has a 5 in the thousands place and a 6 in the tens place.
Examples vary: 35,769, 53,426, 205, sixth digit? (Any number with 5 in thousands and 6 in tens works)
What number is 300,000 + 40,000 + 5,000 + 600 + 80 + 3?
345,683
Explain why the 3 in 345,000 is greater than the 3 in 35,000.
In 345,000, the 3 is 300,000 (hundred-thousands). In 35,000, the 3 is 30,000 (ten-thousands). 300,000 is 10× 30,000
Put these in order: 517,634, 516,734, 516,743.
(least → greatest): 516,734; 516,743; 517,634
Write 3 numbers that round to 60,000 when rounded to the nearest 10,000.
Any three from 55,000–64,999 (e.g., 56,321; 60,000; 64,499)
Explain why 300,102 > 300,012.
Compare hundreds place: 1 > 0, so 300,102 > 300,012
True or False: “Twenty thousand, thirty-five” = 20,305.
False (Twenty thousand, thirty-five = 20,035)
Which number has a digit 10× the value of the digit to its right: 45,392 or 24,934?
Neither (in 45,392 and 24,934 no digit is exactly 10× the digit immediately to its right)
Which is greater: 125,889 or 152,889? Explain.
152,889 is greater (ten-thousands place: 5 > 2)
Round 356,000 to the nearest 10,000.
360,000
Rhode Island has about 356,000 acres of forest land. Round this to the nearest 10,000 and explain.
360,000 (356,000 is ≥ 355,000, so round up to nearest 10,000
Write 509,214 in standard, expanded, and word form.
Standard: 509,214
Expanded: 500,000 + 9,000 + 200 + 10 + 4
Word: five hundred nine thousand, two hundred fourteen
Create your own number where one digit is exactly 10× the value of another.
Examples may vary: 110 (100 is 10× 10), 3,300 (3,000 is 10× 300), 44,440 (40,000 is 10× 4,000)
Game attendance: 45,753, 42,250, 43,160, 41,779. Which had the least and the greatest?
Least: 41,779 Greatest: 45,753
Which numbers round to 10,000? (999, 9,999, 11,999, 13,999, 19,999)
9,999; 11,999; 13,999 (round to 10,000)
Create your own comparison problem. Give the answer and justify it.
Example: 462,193 > 459,827 (ten-thousands place: 6 > 5). Justification should state place-by-place comparison.