Place Value
In the number 6,482, what is the value of the digit 4?
400
Round 347 to the nearest ten.
350. The ones digit is 7, so round up.
Compare using <, >, or =: 4,729 ▫ 4,792.
4,729<4,792
Add: 326+241.
567
Subtract: 785−342.
443
Write 7,305 in expanded form.
7,000+300+5
Round 6,249 to the nearest hundred.
6,200. The tens digit is 4, so round down.
Compare using <, >, or =: 63,405 ▫ 63,045.
63,405>63,045
Add: 4,208+3,571.
7,779
Subtract: 8,604−3,271.
5,333
In the number 55,555, how is the value of the digit in the thousands place related to the value of the digit in the hundreds place?
The thousands-place digit has a value that is 10 times the value of the hundreds-place digit: 5,000=10500.
Round 48,650 to the nearest thousand.
49,000. The hundreds digit is 6, so round up.
Complete each comparison: 7,821 ▫ 7,812, 45,600 ▫ 45,600, and 98,210 ▫ 98,201.
7,821>7,812, 45,600=45,600, and 98,210>98,201.
Add: 2,786+4,659.
7,445
Subtract: 7,002−3,586.
3,416
Write 40,000+6,000+300+20+9 in standard form.
46,329
Round 276,431 to the nearest ten thousand.
280,000. The thousands digit is 6, so round up.
Order these numbers from least to greatest: 32,405, 23,450, 32,045, and 24,350.
23,450, 24,350, 32,045, 32,405
Add 3,487+5,216. Then estimate the sum by rounding each addend to the nearest hundred.
Exact sum: 8,703.
Subtract 9,214−4,678. Then estimate the difference by rounding each number to the nearest hundred.
Exact difference: 4,536.
In the number 8,080,808, what is the value of each digit 8, and how are the values related?
From left to right, the values are 8,000,000, 80,000, and 800. Each value is 100 times the value of the next 8 to its right.
Round 364,782 to the nearest hundred and to the nearest thousand. Which estimate is closer to the original number?
To the nearest hundred, 364,800. To the nearest thousand, 365,000. The nearest-hundred estimate is closer because its difference is 18, while the nearest-thousand estimate differs by 218.
Which number is greatest: 506,789, 560,789, or 506,879? Explain using place value.
560,789 is greatest because it has 6 in the ten-thousands place, while the other numbers have 0 in that place.
A school library received 2,485 books in September and 1,736 books in October. In November, it received 2,109 more books. How many books did the library receive altogether?
2,485+1,736=4,221
4,221+2,109=6,330
The library received 6,330 books altogether.
A warehouse had 12,500 boxes. It shipped 4,275 boxes on Monday and 3,968 boxes on Tuesday. How many boxes remained?
4,275+3,968=8,243
12,500−8,243=4,257
There were 4,257 boxes remaining.