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Place value worksheets

Practice on what each digit in a number is worth: name the place, give the value, write a number in expanded form or read one back from it. Choose how many digits and print with an answer key.

Grade 1–Grade 5 · every refresh draws a new set · answer key included

Name Date

Place value worksheets

Write what the underlined digit is worth.

1.
In 847, the digit 4 is worth
2.
In 912, the digit 2 is worth
3.
In 357, the digit 7 is worth
4.
In 160, the digit 6 is worth
5.
In 336, the digit 6 is worth
6.
In 637, the digit 7 is worth
7.
In 897, the digit 9 is worth
8.
In 465, the digit 4 is worth
9.
In 729, the digit 9 is worth
10.
In 596, the digit 9 is worth
11.
In 512, the digit 1 is worth
12.
In 784, the digit 8 is worth
13.
In 407, the digit 4 is worth
14.
In 348, the digit 3 is worth
15.
In 698, the digit 8 is worth
16.
In 768, the digit 6 is worth
Sheetsmith · sheetsmith.online · set 4fwjy3Sheet 1 of 2

Place value worksheets — answer key

Write what the underlined digit is worth.

1.
In 847, the digit 4 is worth40
2.
In 912, the digit 2 is worth2
3.
In 357, the digit 7 is worth7
4.
In 160, the digit 6 is worth60
5.
In 336, the digit 6 is worth6
6.
In 637, the digit 7 is worth7
7.
In 897, the digit 9 is worth90
8.
In 465, the digit 4 is worth400
9.
In 729, the digit 9 is worth9
10.
In 596, the digit 9 is worth90
11.
In 512, the digit 1 is worth10
12.
In 784, the digit 8 is worth80
13.
In 407, the digit 4 is worth400
14.
In 348, the digit 3 is worth300
15.
In 698, the digit 8 is worth8
16.
In 768, the digit 6 is worth60
Sheetsmith · sheetsmith.online · set 4fwjy3Sheet 2 of 2

16 problems · US Letter · answer key — 2 sheets, page breaks marked in the preview

Worksheet
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Set 4fwjy3 — this address always prints this exact worksheet.

What this worksheet is for

Place value is the idea every later topic leans on: the 4 in 3,417 is not a four, it is four hundred, and a pupil who has not internalised that will struggle with column addition long before fractions arrive. The four question types on this page approach it from different directions — naming the place, giving the value, breaking a number apart into expanded form and putting one back together — because a child can often do one of those while not really understanding the other three. Mixed puts all four on one page, which is closer to a test than to practice.

Who it suits

Grade 1 to Grade 5, ages six to eleven. Two and three digit numbers belong in the first two years; four digits with thousands is Grade 3 and 4 work; five and six digits suit Grade 5 revision.

How to use the settings

Set the number of digits to match what the class has met — six-digit numbers are not harder to reason about, but they are harder to read, and a pupil who miscounts the places gets everything wrong for the wrong reason. Start with naming the place, which only asks for vocabulary, then move to the value, which asks for the vocabulary and the multiplication together. Expanded form is the best preparation for column addition, because it is the same decomposition written horizontally.

What goes wrong

The classic wrong answer names the digit instead of its value: asked what the 4 in 3,417 is worth, a pupil writes 4. The second common fault is counting places from the left, which works for two-digit numbers and quietly fails for everything longer. Expanded form exposes a third one — dropping the zeros, so 3,047 comes out as 3,000 + 4 + 7.

Questions

What is expanded form?
It is the number written as the sum of what each digit is worth: 3,417 becomes 3,000 + 400 + 10 + 7. Places holding a zero are left out of the sum, which is why 3,047 is 3,000 + 40 + 7.
Why is the digit named in the question rather than underlined?
Because an underline does not survive a photocopy as reliably as words do, and a pupil reading the question aloud has something to say. The answer is the same either way.
Which digits should I start with?
Three. Two-digit numbers only have tens and ones, so a pupil can be right by guessing between two answers; three digits force the vocabulary to be known rather than deduced.
Does this cover decimals?
Not yet — this page stops at whole numbers. Tenths and hundredths belong with the decimals worksheets, where the same vocabulary continues to the right of the point.