This grade 4 place worksheet answer key solves all 22 problems of the place value to one million worksheet step by step.
Every problem on the place value worksheet is solved here step by step. Check each answer, then reread the step where a number was found. The figures show the place-value chart, so you can see why each digit has its value.
Grade 4 Place Worksheet Answer Key: problems 1–5
Problem 1: Value of a digit
The 8 is in the hundreds place. Its value is \(8 \times 100 = 800\).
The value of the digit 8 is 800.
Problem 2: Value in a larger number
Count the places from the right: 0 is ones, 7 is tens, 1 is hundreds, 2 is thousands, 5 is ten thousands. The 5 is in the ten thousands place.
\(5 \times 10{,}000 = 50{,}000\)
The value of the 5 is 50,000.
Problem 3: Ten times as much
Think of the multiplication \(? \times 10 = 30\). Since \(3 \times 10 = 30\), the number is 3. Check with division: \(30 : 10 = 3\).
The number is 3.
Problem 4: Multiply by ten
\(4 \times 10 = 40\) and \(40 \times 10 = 400\). Check: \(400 \times 10 = 4{,}000\), which matches the last box.
The missing numbers are 40 and 400.
Problem 5: Two sevens
The left 7 is in the thousands place: \(7 \times 1{,}000 = 7{,}000\). The right 7 is in the hundreds place: \(7 \times 100 = 700\).
\(700 \times 10 = 7{,}000\)
The left 7 is 10 times as much as the right 7.
Grade 4 Place Worksheet Answer Key: problems 6–10
Problem 6: Write the number name
Read the thousands period: 4 thousand. Then the ones period: 305 is three hundred five. There are 0 tens, so no tens word is used.
four thousand three hundred five
Problem 7: Write the numeral
Twenty-six thousand is 26 in the thousands period. Nine hundred forty is 940 in the ones period. Join them with a comma.
26,940
Problem 8: Expanded form
7 is in the thousands place: 7,000. 2 is in the hundreds place: 200. 4 is in the tens place: 40. 8 is in the ones place: 8.
\(7{,}000 + 200 + 40 + 8\)
Problem 9: From expanded form
Put each value in its place: 4 ten thousands, 3 thousands, 5 hundreds, 0 tens, 6 ones. The tens place has no value in the sum, so it holds a 0.
\(40{,}000 + 3{,}000 + 500 + 6 = 43{,}506\)
The numeral is 43,506.
Problem 10: Compare four-digit numbers
The thousands digits match (5), and the hundreds digits match (2). In the tens place, 8 is greater than 4.
\(5{,}284 > 5{,}248\)
Grade 4 Place Worksheet Answer Key: problems 11–15
Problem 11: Compare five-digit numbers
Line up the places. The ten thousands and thousands digits match. In the hundreds place, 0 is less than 1.
\(63{,}019 < 63{,}109\)
Problem 12: Different lengths
124,500 has 6 digits and starts with a nonzero digit. 99,999 has only 5 digits. The number with more digits is greater.
\(124{,}500 > 99{,}999\)
Problem 13: Order from least to greatest
4,523 has only 4 digits, so it is the least. The other three have 5 digits and share 45 on the left. Compare the hundreds digits: 2, 3, 2. The two numbers with 2 hundreds are 45,230 and 45,203. Compare their tens: 3 is greater than 0, so 45,203 is less than 45,230. 45,320 has 3 hundreds, so it is greatest.
4,523; 45,203; 45,230; 45,320
Problem 14: Count the disks
Read the number of disks in each column: 2 ten thousands, 6 thousands, 0 hundreds, 4 tens, 3 ones. Value: \(20{,}000 + 6{,}000 + 0 + 40 + 3 = 26{,}043\).
Numeral: 26,043. Name: twenty-six thousand forty-three.
Problem 15: Four sixes
From left to right the 6s are in the thousands, hundreds, tens, and ones places.
The values are 6,000; 600; 60; and 6. Each is 10 times the one to its right.
Grade 4 Place Worksheet Answer Key: problems 16–20
Problem 16: Ten hundred thousands
The 1 in 1,000,000 is in the millions place. The hundred thousands place is one place to its right, so the 1 is 10 times as much as 1 hundred thousand.
\(10 \times 100{,}000 = 1{,}000{,}000\)
10 hundred thousands make 1,000,000.
Problem 17: Change a digit
The 8 is in the thousands place. A 9 in that place is worth 9,000 instead of 8,000. The new number is 49,205.
\(49{,}205 – 48{,}205 = 1{,}000\)
The new number is 49,205. It is 1,000 greater.
Problem 18: Attendance
Both numbers have 5 digits. The ten thousands, thousands, and hundreds digits match (5, 2, 3). In the tens place, 8 is greater than 0.
\(52{,}380 > 52{,}308\)
There were more fans on Saturday.
Problem 19: Town populations
Oak Ridge has 4 digits, so it is the least. Cedar Creek starts with 8 ten thousands, more than the 1 ten thousand in Maple Falls and Pine Hill, so it is greatest. Maple Falls and Pine Hill both start 18, so compare the hundreds: 2 hundreds is less than 4 hundreds.
Cedar Creek (81,042), Pine Hill (18,420), Maple Falls (18,240), Oak Ridge (8,924)
Problem 20: Find the mistake
Maya wrote only the leading digits and left out the zeros. The 3 is worth 300,000, the 4 is worth 40,000, and the 5 is worth 5. The thousands, hundreds, and tens places are empty, so they need zeros.
\(300{,}000 + 40{,}000 + 5 = 340{,}005\)
The correct numeral is 340,005.
Grade 4 Place Worksheet Answer Key: problems 21–22
Problem 21: True or false
In 45,000 the 4 is in the ten thousands place: \(4 \times 10{,}000 = 40{,}000\). In 4,500 the 4 is in the thousands place: \(4 \times 1{,}000 = 4{,}000\).
\(4{,}000 \times 10 = 40{,}000\)
Jamal is correct.
Problem 22: Greatest and least
For the greatest number, put the greatest digit in the greatest place: 8, 5, 3, 2, 0 gives 85,320. For the least number, the 0 cannot go first, because then the number would have only 4 digits. Put the least nonzero digit, 2, first, then 0, 3, 5, 8.
Greatest: 85,320. Least: 20,358.
How to use this grade 4 place worksheet answer key
Read this grade 4 place worksheet answer key after trying each problem yourself, and redo any problem you missed.
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Grade 4 Place Value to One Million worksheet answer key
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