4th Grade Place Value to One Million Worksheet Solutions (PDF)

Grade 4 · Common Core State Standards: 4.NBT.A.1, 4.NBT.A.2
Exercise 1 – Value of a digit
Write the digits by place: 5 thousands, 8 hundreds, 6 tens, 2 ones.
The 8 is in the hundreds place, so its value is \(8 \times 100 = 800\).
800
Exercise 2 – Name the place
Count places from the right: 9 ones, 1 tens, 4 hundreds, 3 thousands, 7 ten thousands.
The 7 is in the ten thousands place.
Exercise 3 – Value in a big number
The chart shows 6 in the ten thousands column.
\(6 \times 10{,}000 = 60{,}000\)
60,000
Exercise 4 – Ten times as much
Multiply by 10: \(400 \times 10 = 4{,}000\).
Check: the 4 moves one place to the left, from hundreds to thousands.
4,000
Exercise 5 – Compare two sevens
The diagram shows ten bars of 70 in 700.
\(700 \div 70 = 10\)
10 times as much
Exercise 6 – Two sixes in a row
First 6: \(600{,}000\). Second 6: \(60{,}000\).
\(600{,}000 \div 60{,}000 = 10\)
10 times as much
Exercise 7 – Expanded form
6 thousands, 2 hundreds, 0 tens, 5 ones.
\(6{,}000 + 200 + 5\)
\(6{,}000 + 200 + 5\)
Exercise 8 – Standard form from expanded
4 ten thousands, 3 thousands, 6 hundreds, 0 tens, 8 ones.
\(43,608\)
Exercise 9 – Word form
Read each period. 52 thousand, then 14.
fifty-two thousand, fourteen
Exercise 10 – Standard form from words
306 thousand and 40. The hundreds place has no value, so it is 0, and the ones place is 0.
\(306{,}000 + 40 = 306{,}040\)
\(306,040\)
Exercise 11 – Compare thousands
Thousands and hundreds match (4 and 5). In the tens place, 0 is less than 9.
\(4{,}509 < 4{,}590\)
Exercise 12 – Compare six-digit numbers
The digits match through the hundreds place (1, 2, 0, 3). In the tens place, 6 is greater than 4.
\(120{,}364 > 120{,}346\)
Exercise 13 – Order from least to greatest
The ten thousands digits are 5, 5, and 5, so compare the thousands: 6, 6, and 8. Therefore \(58,062\) is greatest.
For \(56,820\) and \(56,082\), the hundreds are 8 and 0, so \(56,082\) is less.
\(56,082\), \(56,820\), \(58,062\)
Exercise 14 – Read the chart
The chart reads 2, 0, 8, 4, 1, 5 from left to right: \(208,415\).
The highlighted 4 is in the hundreds column, so its value is \(4 \times 100 = 400\).
\(208,415\); 400
Exercise 15 – Stadium crowd
\(12,486\): 1 ten thousand, 2 thousands, 4 hundreds, 8 tens, 6 ones.
The 2 is worth \(2 \times 1{,}000 = 2{,}000\).
Word form: twelve thousand, four hundred eighty-six.
2,000; twelve thousand, four hundred eighty-six
Exercise 16 – Mystery number
Standard form: 8, 3, 0, 7, 2 gives \(83,072\).
Expanded form: \(80{,}000 + 3{,}000 + 70 + 2\) (the hundreds place is 0, so there is no hundreds term).
\(83,072\) = \(80{,}000 + 3{,}000 + 70 + 2\)
Exercise 17 – City populations
Oak Hill starts 89, so it is least. The other three start 98.
Compare the hundreds: Maple Grove has 4, Cedar Falls has 0, Pine Bluff has 5. Greatest first: Pine Bluff (5), Maple Grove (4), Cedar Falls (0).
Pine Bluff \(98,504\), Maple Grove \(98,450\), Cedar Falls \(98,054\), Oak Hill \(89,540\)
Exercise 18 – Odometer rolls over
\(99{,}999 + 1 = 100{,}000\).
The 1 is in the hundred thousands place, so its value is \(100,000\).
Check: \(100,000\) is ten times \(10,000\).
100,000; 100,000
Exercise 19 – Who is right?
Count places in \(350,260\): 3 hundred thousands, 5 ten thousands, 0 thousands, 2 hundreds, 6 tens, 0 ones.
The 5 is worth \(5 \times 10{,}000 = 50{,}000\), so Noah is correct and Mei is not. Mei used the thousands place by mistake.
Noah is correct; the 5 is worth 50,000.
Exercise 20 – Stickers by ten
Carton: \(4{,}000 \times 10 = 40{,}000\).
Pallet: \(40{,}000 \times 10 = 400{,}000\).
Word form: four hundred thousand.
400,000; four hundred thousand
All Grade 4 chapters: Grade 4 math.
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