Florida Grade 5 Math · Number Sense and Operations

MA.5.NSO.1.3: Composing and decomposing decimals

What this Grade 5 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

What Is Benchmark MA.5.NSO.1.3?

In Grade 5, students break apart (decompose) and build (compose) decimal numbers in more than one way, using the value of each place.

For example, 2.36 can be 2 ones and 36 hundredths, or 23 tenths and 6 hundredths, or 236 hundredths. All of these name the same number.

Official benchmarkCompose and decompose multi-digit numbers with decimals to the thousandths in multiple ways using the values of the digits in each place.

On the FAST test: part of the Grade 5 reporting category Number Sense and Operations with Whole Numbers, which is about 23–29% of the test.

Worked Examples

Worked Example 1

Three Ways to Show 2.36

2.36
  1. 12 ones + 3 tenths + 6 hundredths.
  2. 22 ones + 36 hundredths.
  3. 3236 hundredths, because 2 ones = 200 hundredths.
Answer: 2.36 = 236 hundredths

Worked Example 2

Finding a Missing Part

0.384 = 3 tenths + ___ thousandths
  1. 13 tenths is 0.3, which is 300 thousandths.
  2. 20.384 is 384 thousandths.
  3. 3384 − 300 = 84.
Answer: 84 thousandths

Common Mistakes to Watch For

Using the wrong unit for the leftover part

Wrong:0.384 = 3 tenths + 84 hundredths

After the 3 tenths, the leftover 0.084 is 84 thousandths, not hundredths.

Forgetting the whole number

Wrong:4.7 = 7 tenths

4 ones are 40 tenths, so 4.7 = 47 tenths.

Helpful Math Tip

Ask "how many tenths (or hundredths) is the whole number?" first. 1 one = 10 tenths = 100 hundredths = 1,000 thousandths.

Related Grade 5 Skills

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Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.