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Grade 6 Math · Unit 3

Decimal place value and operations

Use this low-stakes check after studying the unit. It has 8 fresh questions and one written reasoning prompt. No timer, grade, or gate blocks your next lesson.

Choose the best answer

Work without the lesson open if you can. After you check, read each explanation and return to the linked lesson when you want another example.

1. The decimal 2.045 is equivalent to which statement?

Decimal Place Value 6.NS.B.3 Review lesson

2. Which decimal is less than 0.8?

Comparing and Ordering Decimals 6.NS.C.7 Review lesson

3. What is 1.4 + 2.5?

Adding and Subtracting Decimals 6.NS.B.3 Review lesson

4. What is 0.4 × 2?

Multiplying Decimals 6.NS.B.3 Review lesson

5. Divide: 7.2 ÷ 4 = ?

Dividing Decimals by Whole Numbers 6.NS.B.2 · 6.NS.B.3 Review lesson

6. A recipe calls for 3.2 cups of sugar. The chef wants to divide this sugar into 0.8 cup portions. How many portions will the chef have?

Dividing Decimals by Decimals 6.NS.B.3 Review lesson

7. A recipe calls for 1/2 cup of flour. Which decimal represents this amount?

Converting Fractions to Decimals Prerequisite review · 5.NF.B.3 Review lesson

8. Write 0.85 as a fraction in simplest form.

Converting Decimals to Fractions Prerequisite review · 5.NF.B.3 Review lesson

Explain your reasoning · Decimal division

A 4.8-meter ribbon is cut into 6 equal pieces. How long is each piece? Show the division and use multiplication to check the result.

Open a sample approach and scoring guide

One possible approach: 4.8 ÷ 6 = 0.8 meter. Check: 0.8 × 6 = 4.8 meters.

2-point guide: 1 point for 4.8 ÷ 6; 1 point for 0.8 meter and a valid multiplication check.

Try the problem before opening the example. A tutor or teacher can use the guide to discuss your representation and reasoning.

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