Curriculum placement
Grade 5. This describes the skill, not a learner estimate.
Decimal place value through thousandths
Read compare and round decimals through thousandths
Problem types
- Number words and place-value units
- Value of a decimal digit
- Decimal from expanded form
- Compare decimals to thousandths
- Round a decimal
- Find an original decimal
- Write the number from its expanded form
- Choose the expanded form of a number
- Select the numbers that round to a value
- Round a decimal to two places
- Build a decimal from its place values
Builds on
- Comparing decimals to hundredths
- Rounding whole numbers
- Place value of large whole numbers · Earlier idea
Rounding a whole number looks at the digit just right of the rounding place. The same rule rounds a decimal to the nearest tenth or hundredth, with places that are worth one tenth as much each step to the right.
- Comparing three-digit numbers · Earlier idea
Comparing three-digit numbers digit by digit from the left extends to comparing decimals to thousandths.
- Ten more and ten less · Earlier idea
Each place is one tenth of the place to its left, so ten less at one place and one tenth of the next place use the same pattern.
Leads to
- The four operations with decimals
- Powers of 10 and place value · See it applied
Every place in a number is ten times the place to its right, so the place values 1,000, 100, 10, 1, 0.1 and 0.01 are powers of ten. Writing a number as digit-times-place-value sums is the base for multiplying and dividing by powers of ten.
- Percent of a number · Extend the idea
A percent is hundredths, so a decimal to the hundredths place is read as a percent.
Related skills
- Approximating roots · Related idea
Rounding a decimal to the nearest tenth and reading a square root to the nearest tenth both ask which tenth mark is closest to a value.
- Telling rationals from irrationals · Related idea
A rational number has a decimal that ends or repeats, and irrational numbers have decimals that do neither, which place value helps classify.
- Multi-step word problems · Shared foundations
Open the interactive map to explore lessons and skill connections.