Place Value
Write 34,005,027 in word form.
Thirty-four million, five thousand, twenty-seven.
Use >, <, or = to compare: 405,023 ___ 405,320. Explain which digit you compared first.
405,023 < 405,320. Compare from leftmost different digit: hundreds (0 vs 3).
Find the sum: 2,653 + 5,729. Estimate first by rounding each addend to the nearest hundred to check your work.
Estimate: 2,700 + 5,700 = 8,400. Exact: 8,382.
Round 8,382 to the nearest hundred. What is the rounded number?
8,382 → 8,400 (nearest hundred).
What is the value of the digit 6 in 45,300,286? Circle the value: 6 ones, 60 thousands, or 600 millions. Explain in one sentence.
In 45,300,286 the 6 is in the ones place so its value is 6 ones (6)
Order these numbers from greatest to least: 45,230; 405,023; 54,032.
Greatest to least: 405,023, 54,032, 45,230.
Find the difference: 402,801 − 324,596. Show your subtraction and give the result.
402,801 − 324,596 = 78,205.
Which equation can best help you estimate the difference between 63,018 and 45,613?
A. 60,000 − 45,000 = 15,000
B. 63,000 − 45,000 = 18,000
C. 63,000 − 46,000 = 17,000
D. 60,000 − 40,000 = 20,000
(Choose the best and explain why.)
Best: B. 63,000 − 45,000 = 18,000 (closest estimate to actual difference).
Write the number one hundred fifty-four million, forty-eight thousand, thirty-five in standard numeric form. Then label the digit in the ten-millions place.
Standard numeric form: 154,048,035. Ten-millions digit: 5 (value 50,000,000)
Which statement correctly puts three numbers in order from least to greatest?
A. 254,507 , 25,457 , 432,650
B. 25,457 , 432,650 , 634,500
C. 634,500 , 432,650 , 254,507
D. 25,457 , 432,650 , 634,500
(Choose the correct letter and explain.)
D. 25,457 , 432,650 , 634,500
Researchers count 17,542 birds and 12,385 land animals. How many more birds than land animals? Show subtraction.
17,542 − 12,385 = 5,157.
Use rounding to estimate the sum 2,653 + 5,729. Then compute the exact sum and compare the estimate to the exact answer. Explain whether the estimate was reasonable.
Estimate: 2,700 + 5,700 = 8,400. Exact: 8,382. Estimate reasonable
In the number 5,462,890, what place is the digit 6 in? Write the place name (hundred thousands, ten thousands, thousands, hundreds, tens, or ones) and its value.
In 5,462,890 the digit 6 is in the hundred-thousands place; its value is 600,000.
Compare 45,300,286 and 45,230,086. Which is greater and why? Identify the first place-value column where they differ.
45,300,286 is greater. They differ in the thousands period: 300,000 vs 230,000.
Solve: 71,406,018 − 31,762. (Show steps and explain any borrowing used.)
71,406,018 − 31,762 = 71,374,256.
Round 154,048,035 to the nearest million. Show the steps you used to decide
154,048,035 rounded to the nearest million is 154,048,000 → then to nearest million = 154,048,000; rounding to the nearest million correctly gives 154,048,000 which is usually simplified to 154,048,000 (teacher note: if asked to the nearest million, round the thousands place 48,035 → 48 → so final = 154,048,000).
Build this number from parts: 70,000,000 + 1,000,000 + 400,000 + 6,000 + 20 + 8. Write the number in standard form and in word form.
Standard form: 71,426,028. Word form: seventy-one million, four hundred twenty-six thousand, twenty-eight.
Create three different 6-digit numbers using the digits 3, 4, 5, 0, 2, 7 (use each digit at most once). Then order your three numbers from least to greatest and explain how place value determined the order.
(Sample) Numbers: 203,457; 304,572; 450,327. Ordered least to greatest: 203,457; 304,572; 450,327.
Write and solve a two-step word problem that uses addition and subtraction with multi-digit numbers (at least one number in the ten-thousands or greater). Show your equation and explain how you estimated to check your answer.
(Teacher to review student-created problems.)
A store counts 45,230 cars, 405,023 trucks, and 54,032 vans in one month. Estimate the total number of vehicles by rounding each number to the nearest ten-thousand, then compute the actual total. Compare estimate to actual and explain the difference
45,230 + 405,023 + 54,032 = 504,285. Estimate (nearest ten-thousand): 50,000 + 410,000 + 50,000 = 510,000. Difference: 5,715 (estimate higher).