Worked Example 1
Multiplying by 0.1
45.6 × 0.1
- 1Multiplying by 0.1 is the same as dividing by 10.
- 2Each digit moves one place to the right.
- 345.6 → 4.56.
Answer: 4.56
Florida Grade 5 Math · Number Sense and Operations
MA.5.NSO.2.5: Multiplying and dividing by 0.1 and 0.01
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.2.5?
In Grade 5, students multiply and divide decimals to the tenths by 0.1 and 0.01, such as 45.6 × 0.1 or 3.2 ÷ 0.01.
The key idea: multiplying by 0.1 is the same as dividing by 10, so each digit moves one place to the right. Dividing by 0.1 is the same as multiplying by 10, so each digit moves one place to the left. With 0.01, digits move two places.
Official benchmarkMultiply and divide a multi-digit number with decimals to the tenths by one-tenth and one-hundredth with procedural reliability.
On the FAST test: part of the Grade 5 reporting category Number Sense and Operations with Fractions and Decimals, which is about 23–29% of the test.
Worked Examples
Worked Example 2
Dividing by 0.01
3.2 ÷ 0.01
- 1Dividing by 0.01 is the same as multiplying by 100.
- 2Each digit moves two places to the left.
- 33.2 → 320.
Answer: 320
Common Mistakes to Watch For
Thinking dividing always makes a number smaller
Wrong:3.8 ÷ 0.1 = 0.38
Dividing by a number less than 1 makes the answer bigger. 3.8 ÷ 0.1 = 38 (how many tenths are in 3.8).
Moving the wrong number of places
Wrong:6.5 × 0.01 = 0.65
0.01 is one hundredth, so digits move two places: 6.5 × 0.01 = 0.065.
Helpful Math Tip
Think about money: 0.1 of a dollar is a dime, 0.01 is a penny. How many dimes are in $3.80? 38. That is 3.8 ÷ 0.1.
Related Grade 5 Skills
Make Florida Math Practice More Fun
Help your child build math confidence with original interactive questions aligned with Florida's B.E.S.T. Mathematics Standards.
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.