Maths Library

Decimal Place Value: Grade 5 math

Pupils explore the place value of digits in numbers containing tenths, hundredths, and thousandths. The worksheet covers partitioning, reading values, and identifying the value of underlined digits.

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What this covers

Decimal Place Value is taught in Grade 5 (age 10 to 11) as a main teaching focus. It sits in the Decimals strand.

Worked example

What is the value of the digit 7 in 4.375

  1. Identify the position of 7: it is two places to the right of the decimal point.
  2. The second place after the decimal point represents hundredths.
  3. State the value: 7 hundredths or 0.07.

Answer: 0.07

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Identifying tenths in numbers with one decimal place
  2. Identifying hundredths and partitioning numbers up to two decimal places
  3. Identifying thousandths and expanded form with up to three decimal places
  4. Multiplying and dividing decimals by 10, 100, or 1000
  5. Complex partitioning and place value puzzles with mixed whole and decimal parts

Common mistakes

  • Thinking 0.07 is larger than 0.7 because hundredths sound larger than tenths
  • Treating decimal digits as a separate whole number after the decimal point

Curriculum links

Indicative matches to Common Core State Standards. Check wording and codes against the official document.

  • 5.NBT.A.3 Read, write, and compare decimals to thousandths based on place value representations.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Decimal Place Value

Grade 5 math

Qs
6
Marks
12
NameDateScore / 12
1.
What is the value of the digit 2 in 7.92?
[2]
2.
What is the value of the digit 1 in 8.21?
[2]
3.
What is the value of the digit 1 in 7.1?
[2]
4.
What is the value of the digit 2 in 9.42?
[2]
5.
What is the value of the digit 8 in 8.338?
[2]
6.
What is the value of the digit 1 in 3.51?
[2]

Answer key

  1. 0.02The 2 is in the hundredths place; Its value is 0.02
  2. 0.01The 1 is in the hundredths place; Its value is 0.01
  3. 0.1The 1 is in the tenths place; Its value is 0.1
  4. 0.02The 2 is in the hundredths place; Its value is 0.02
  5. 0.008The 8 is in the thousandths place; Its value is 0.008
  6. 0.01The 1 is in the hundredths place; Its value is 0.01