5th Grade Multiplying and Dividing Decimals Quiz: 10 Questions with Explanations Home 5th Grade Math Worksheets, Lessons and Tests (Free PDF) 5th Grade Multiplying and Dividing Decimals Quiz: 10 Questions with Explanations
Answer these 10 multiple-choice questions on multiplying and dividing decimals. Each question has one correct answer. Use scratch paper to multiply, divide, or estimate, and read the explanation after each answer.
Grade 5 · Common Core State Standards: 5.NBT.B.7
Question 1 The grid model shows a decimal product. What is it?
4 columns 6 rows overlap Blue is 4 columns and orange is 6 rows. A \(0.4 \times 0.6 = 2.4\)B \(0.4 \times 0.6 = 0.024\)C \(0.4 \times 0.6 = 24\)D \(0.4 \times 0.6 = 0.24\)The overlap has 4 x 6 = 24 squares out of 100, so the product is 0.24. The mistake is placing the decimal point wrongly.
Question 2 Which is the product of \(5.2 \times 0.3\)?
A 1.56B 15.6C 0.156D 15652 x 3 = 156. The factors have 1 + 1 = 2 decimal places, so the product is 1.56.
Question 3 What is \(0.25 \times 0.8\)?
A 0.02B 0.2C 2D 0.00225 x 8 = 200 with 3 decimal places is 0.200, which equals 0.2. Many students forget that trailing zeros can be dropped.
Question 4 The tape diagram shows 9.6 shared equally. What is the value of each part?
? ? ? ? 9.6 Four equal parts. A 2.04B 24C 0.24D 2.496 / 4 = 24, and keeping the decimal point in line gives 2.4. Writing 2.04 inserts an extra zero.
Question 5 A 0.8B 0.008C 0.08D 856 / 7 = 8. Since 0.56 has hundredths, the answer is 8 hundredths, or 0.08.
Question 6 A 0.7B 7C 70D 1.75Multiply both by 10: 35 / 5 = 7. Dividing by a number less than 1 gives a larger quotient.
Question 7 Which expression has the same value as \(4.2 \div 0.06\)?
A \(42 \div 6\)B \(420 \div 6\)C \(4.2 \div 6\)D \(4{,}200 \div 6\)0.06 has 2 decimal places, so multiply both numbers by 100: 4.2 becomes 420 and 0.06 becomes 6.
Question 8 Mei buys 1.5 pounds of cheese at $4.80 per pound. How much does she pay?
A $7.20B $6.30C $72.00D $0.721.5 x 4.80 = 7.20. Adding the numbers gives $6.30, which is the typical mistake.
Question 9 A rectangle is 2.4 feet by 1.5 feet. What is its area?
2.4 ft 1.5 ft A rectangle. A 3.6 square feetB 3.9 square feetC 36 square feetD 0.36 square feet24 x 15 = 360 with 2 decimal places is 3.60, so the area is 3.6 square feet. Adding the sides gives 3.9, which is perimeter work.
Question 10 A 7.2-mile trail has a sign every 0.9 mile. How many equal sections does the trail have?
A 80 sectionsB 0.8 sectionC 8 sectionsD 6.3 sections7.2 / 0.9 = 72 / 9 = 8. Subtracting gives 6.3, which is the wrong operation.
Remember
The product of two decimals has as many decimal places as both factors together.
A hundredths grid shows 0.3 times 0.4 as 12 squares, which is 0.12.
When dividing by a whole number, keep the decimal point in line.
Multiplying both numbers by 10, 100, or 1,000 does not change a quotient.
Estimate first to check where the decimal point belongs.
All Grade 5 chapters: Grade 5 math .
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