Place Value of Multi-Digit Whole Numbers
The number 6,407,215 has a 7 in it. What is the value of the 7?
7,000
Compare using >, <, or =:
4,089,721 ___ 4,098,721
4,089,721 < 4,098,721
Solve:
348,729 + 276,485
625,214
Solve:
800,000 − 374,628
Answer: 425,372
A stadium has 45,625 seats. During the first game, 38,492 seats were filled. How many seats were empty?
7,133 seats
Write 8,030,406 in expanded form.
8,000,000 + 30,000 + 400 + 6
Which number is greater: 7,305,099 or 7,350,009? How do you know?
7,350,009 is greater because the thousands digits are different: 5 thousands > 0 thousands.
Find the missing number:
428,635 + _____ = 700,000
271,365
Find the missing number:
925,000 − _____ = 487,325
Answer: 437,675
A factory made 125,480 toys in January and 138,725 toys in February. It shipped 200,000 toys. How many toys remained?
64,205 toys
A student says that the 5 in 3,572,841 has a value of 5,000. Is the student correct? Explain.
No. The 5 is in the ten-thousands place, so its value is 50,000
Write a number that is greater than 5,400,000 but less than 5,500,000 and has a 7 in the thousands place.
Answers will vary. Example: 5,427,000
A school collected 128,475 cans during one food drive and 246,839 cans during another. How many cans did they collect altogether?
375,314 cans
A library has 750,000 books in its entire system. If 286,475 books are in one branch, how many are in the other branches?
463,525 books
A school has 1,250 students. There are 675 students in grades K–2. How many students are in grades 3–5?
575 students
What number is 100,000 greater than 4,685,209?
4,785,209
A town has 389,425 people. Another town has 398,245 people. How many more people live in the second town?
8,820 people
Estimate 497,825 + 302,194 by rounding each number to the nearest ten thousand. Then find the exact answer.
Estimate: 800,000. Exact answer: 800,019
Estimate 904,821 − 398,276 by rounding each number to the nearest thousand. Then find the exact answer.
Estimate: 507,000. Exact answer: 506,545
A farmer harvested 246,375 apples. He sold 128,950 apples on Monday and 75,625 on Tuesday. How many apples were left?
41,800 apples
Using the digits 2, 4, 6, 7, and 9, make the greatest possible 5-digit number and the least possible 5-digit number. What is the difference between the two numbers?
Greatest: 97,642. Least: 24,679. Difference: 72,963
Arrange these numbers from least to greatest:
6,099,999; 6,909,999; 6,099,099; 6,990,999
6,099,099; 6,099,999; 6,909,999; 6,990,999
A student adds 456,789 + 238,456 and gets 684,245. Without solving the entire problem, explain whether the answer is reasonable.
No. An estimate is about 700,000, so 684,245 is not unreasonable, but the exact answer is 695,245. The student's answer is incorrect.
A student says that 600,000 − 298,765 = 401,235. Without doing the exact calculation first, explain why the answer cannot be correct.
Since 298,765 is almost 300,000, the difference should be about 300,000, not 400,000. The correct answer is 301,235.
A museum had 325,000 visitors last year. This year, it had 48,750 more visitors than last year. The museum wants to reach 400,000 visitors next year. How many more visitors than this year would it need?
This year: 373,750.
400,000 − 373,750 = 26,250 more visitors