Place Value & Number Sense
Write 406,035 in expanded form.
400,000 + 6,000 + 30 + 5
Round 67,849 to the nearest thousand.
68,000
Find the sum. 47,835 + 16,924 = ?
64,759
Which is greater: 405,709 or 405,790?
405,790
A store sold 12,450 items on Monday and 9,875 items on Tuesday. How many items did the store sell altogether on both days?
22,325 items
What is the value of the 8 in 582,417?
80,000
Round 345,678 to the nearest ten thousand.
350,000
Find the difference. 92,004 - 37,586 = ?
54,418
Put these numbers in order from least to greatest: 92,405, 92,450, 90,245, 90425.
90,245, 90,425, 92,405, 92,450
A park had a total of 50,000 visitors in one week. Of those visitors, 18,675 visited on Saturday. How many visitors came to the park on the other six days of the week?
31,325 visitors
Write the smallest six-digit number using 3, 2, 0, 9, 7, 5 exactly once.
203,579
Estimate 48,650 + 32,490 by rounding each number to its highest place value.
50,000 + 30,000 = 80,000
Find the sum. 286,759 + 148,674 = ?
435,433
Which symbol makes this true: 508,099 __ 508,090? Explain using place value.
> because 99 is greater than 90
A school ordered 24,750 pencils at the beginning of the school year. Students used 8,965 of those pencils. The school then ordered 6,500 additional pencils. How many pencils does the school have now?
22,285 pencils
In the number 446,210, what is the value of each 4? How do their values compare?
The first 4 is in the hundred thousands place, so its value is 400,000.
The second 4 is in the ten thousands place, so its value is 40,000.
400,000 is 10 times as great as 40,000.
A student rounds 249,999 to the nearest hundred thousand and says 300,000. Is the student correct? Explain.
No. The correct answer is 200,000 because the digit in the ten thousands place is 4. Since 4 is less than 5, the digit in the hundred thousands place stays the same, and all the digits to its right become zeros.
Find the difference. 600,000 - 287,965 = ?
312,035
Using digits 1, 3, 5, 7, 8, 9 exactly once, make the greatest six-digit even number.
975,318
A museum sold 36,485 tickets in June and 29,975 tickets in July. The museum's goal was to sell a total of 70,000 tickets during those two months. How many more tickets would the museum have needed to sell to reach its goal?
3,540 tickets
Solution:
36,485 + 29,975 = 66,460 tickets sold
70,000 − 66,460 = 3,540 tickets needed
A number has 7 hundred-thousands, 12 thousands, 4 hundreds and 9 ones. Write it in standard form.
712,409
Give two different six-digit numbers that both round to 600,000 to the nearest hundred thousand, but one rounds to 570,000 and the other to 640,000 to the nearest ten thousand.
572,000 and 642,000
A number plus 178,456 equals 500,000. What is the missing number? Show how to check.
321,544; 321,544 + 178,456 = 500,000
A six-digit number has 4 in the hundred-thousands place, 0 in the ten-thousands place, 7 in the hundreds place, and 2 in the ones place. Its thousands digit is 3 more than its tens digit. Find the greatest possible number.
409,762 (thousands = 9, tens = 6)
A school is participating in a fundraising competition. The school starts with 125,000 points and earns an additional 38,475 points. It then uses 49,680 points to purchase rewards. The school's goal is to finish with at least 120,000 points. How many more points does the school need to earn to reach its goal?
6,205 points
Solution:
125,000 + 38,475 = 163,475 points
163,475 − 49,680 = 113,795 points
120,000 − 113,795 = 6,205 points needed