Worked Example 1
Finding a Digit's Value
The 7 in 4.372
- 1Name the places: 4 ones, 3 tenths, 7 hundredths, 2 thousandths.
- 2The 7 is in the hundredths place.
- 3So its value is 7 hundredths, or 0.07.
Answer: 0.07
Florida Grade 5 Math · Number Sense and Operations
MA.5.NSO.1.1: Decimal place value
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.1.1?
In Grade 5, students learn how the value of a digit changes when it moves to a different place in a decimal number, all the way to the thousandths.
The key idea: each place is 10 times the value of the place to its right. Moving a digit one place to the left makes it 10 times as much; moving it one place to the right makes it 110 as much.
Official benchmarkExpress how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.
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 2
Moving One Place Left
Compare the 3 in 0.3 and in 0.03
- 1In 0.3, the 3 is in the tenths place: 0.3.
- 2In 0.03, the 3 is in the hundredths place: 0.03.
- 3The tenths place is one place to the left, so 0.3 is 10 times 0.03.
Answer: 0.3 is 10 times as much as 0.03
Common Mistakes to Watch For
Thinking a digit farther right is worth more
Wrong:0.005 > 0.05
Places to the right of the decimal point get smaller. 0.05 is 10 times as much as 0.005.
Mixing up tenths and hundredths
Wrong:The 6 in 2.06 is 6 tenths
The first place after the decimal point is tenths, the second is hundredths. The 6 in 2.06 is 6 hundredths, or 0.06.
Helpful Math Tip
Use a place value chart with ones, tenths, hundredths, and thousandths. Writing each digit in its column makes it easy to see how many places a digit has moved.
Related Grade 5 Skills
Make Florida Math Practice More Fun
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Start Practicing FreeIndependent 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.