Q1: What is 6.4 ÷ 2? (a) 3.2 (b) 4.2 (c) 2.3 (d) 8.4
Solution:
Ans: (a) Explanation: When dividing \(6.4 \div 2\), we divide just like whole numbers. \(64 \div 2 = 32\), so \(6.4 \div 2 = 3.2\). The decimal point stays in the same place as the dividend.
Q2: Emma has 12.5 meters of ribbon. She wants to cut it into 5 equal pieces. How long will each piece be? (a) 2.5 meters (b) 2.0 meters (c) 3.5 meters (d) 1.5 meters
Solution:
Ans: (a) Explanation: To find the length of each piece, we divide \(12.5 \div 5 = 2.5\). Each piece will be 2.5 meters long. The other options come from incorrect decimal placement or calculation errors.
Q3: What is 0.8 ÷ 0.4? (a) 0.2 (b) 2 (c) 0.5 (d) 4
Solution:
Ans: (b) Explanation: When dividing decimals, we can multiply both numbers by 10 to make them whole numbers: \(0.8 \times 10 = 8\) and \(0.4 \times 10 = 4\). Then \(8 \div 4 = 2\). The answer is 2.
Q4: What is 15.6 ÷ 4? (a) 3.9 (b) 4.9 (c) 3.6 (d) 4.1
Solution:
Ans: (a) Explanation: Dividing \(15.6 \div 4\), we get \(156 \div 4 = 39\), so \(15.6 \div 4 = 3.9\). We count one decimal place in the dividend, so the quotient has one decimal place.
Q5: Which expression is equal to 2.4 ÷ 0.6? (a) 24 ÷ 6 (b) 2.4 ÷ 6 (c) 24 ÷ 0.6 (d) 0.24 ÷ 0.6
Solution:
Ans: (a) Explanation: When dividing decimals, we can multiply both the dividend and divisor by the same power of 10. Multiplying both \(2.4\) and \(0.6\) by 10 gives us \(24 \div 6\), which is an equivalent expression.
Q6: What is 7.2 ÷ 0.9? (a) 0.8 (b) 6.3 (c) 8 (d) 80
Solution:
Ans: (c) Explanation: Multiply both numbers by 10: \(7.2 \times 10 = 72\) and \(0.9 \times 10 = 9\). Then \(72 \div 9 = 8\). The answer is 8.
Q7: A recipe calls for 3.6 cups of flour to be divided equally among 3 batches. How much flour is needed for each batch? (a) 1.2 cups (b) 1.8 cups (c) 0.12 cups (d) 10.8 cups
Solution:
Ans: (a) Explanation: Dividing \(3.6 \div 3 = 1.2\). Each batch needs 1.2 cups of flour. Option (b) would be from doubling instead of dividing by 3, and option (c) has the decimal in the wrong place.
Q8: What is 4.5 ÷ 0.5? (a) 0.9 (b) 9 (c) 2.25 (d) 90
Solution:
Ans: (b) Explanation: Multiply both numbers by 10: \(4.5 \times 10 = 45\) and \(0.5 \times 10 = 5\). Then \(45 \div 5 = 9\). The answer is 9.
## Section B: Fill in the Blanks Q9: When dividing a decimal by a whole number, the decimal point in the quotient goes __________ above the decimal point in the dividend.
Solution:
Ans: directly Explanation: In decimal division, the decimal point in the answer is placed directly above the decimal point in the dividend to maintain proper place value.
Q10: To divide by a decimal, you can multiply both the divisor and dividend by the same power of __________ to make the divisor a whole number.
Solution:
Ans: 10 Explanation: Multiplying by powers of 10 (such as 10, 100, or 1000) moves the decimal point to the right, making it easier to divide by converting the divisor to a whole number.
Q11: The result of a division problem is called the __________.
Solution:
Ans: quotient Explanation: In any division problem, the answer or result is called the quotient.
Q12: When you divide 8.4 by 4, the quotient is __________.
Solution:
Ans: 2.1 Explanation: Dividing \(8.4 \div 4\): we calculate \(84 \div 4 = 21\), so \(8.4 \div 4 = 2.1\). The decimal moves one place from the dividend to the quotient.
Q13: In the division problem 5.6 ÷ 0.7, if we multiply both numbers by 10, the new problem becomes __________ ÷ __________.
Solution:
Ans: 56 ÷ 7 Explanation: Multiplying both \(5.6\) and \(0.7\) by 10 moves the decimal point one place to the right, giving us 56 ÷ 7, which is easier to solve.
Q14: The number being divided in a division problem is called the __________.
Solution:
Ans: dividend Explanation: In a division problem, the number being divided is the dividend. For example, in \(12 \div 3\), 12 is the dividend.
## Section C: Word Problems Q15: A farmer harvested 18.9 kilograms of apples and wants to pack them equally into 3 baskets. How many kilograms of apples will be in each basket?
Solution:
Ans: Step 1: Divide the total weight by the number of baskets: \(18.9 \div 3\) Step 2: \(189 \div 3 = 63\) Step 3: Since the dividend has one decimal place, \(18.9 \div 3 = 6.3\) Final Answer: 6.3 kilograms
Q16: Marcus ran 10.5 miles in 3 hours at a steady pace. How many miles did he run per hour?
Solution:
Ans: Step 1: Divide total miles by total hours: \(10.5 \div 3\) Step 2: \(105 \div 3 = 35\) Step 3: Since the dividend has one decimal place, \(10.5 \div 3 = 3.5\) Final Answer: 3.5 miles per hour
Q17: A piece of wood is 14.4 inches long. If it is cut into pieces that are each 1.2 inches long, how many pieces will there be?
Solution:
Ans: Step 1: Divide the total length by the length of each piece: \(14.4 \div 1.2\) Step 2: Multiply both numbers by 10: \(144 \div 12\) Step 3: \(144 \div 12 = 12\) Final Answer: 12 pieces
Q18: Sarah spent $27.60 on 6 identical notebooks. How much did each notebook cost?
Solution:
Ans: Step 1: Divide the total cost by the number of notebooks: \(27.60 \div 6\) Step 2: \(2760 \div 6 = 460\) Step 3: Since the dividend has two decimal places, \(27.60 \div 6 = 4.60\) Final Answer: $4.60
Q19: A water tank contains 32.5 liters of water. If this water is poured equally into containers that each hold 2.5 liters, how many containers will be filled?
Solution:
Ans: Step 1: Divide the total amount by the capacity of each container: \(32.5 \div 2.5\) Step 2: Multiply both numbers by 10: \(325 \div 25\) Step 3: \(325 \div 25 = 13\) Final Answer: 13 containers
Q20: A rope is 22.4 meters long. If it needs to be cut into 0.8-meter sections for a project, how many sections can be made?
Solution:
Ans: Step 1: Divide the total length by the length of each section: \(22.4 \div 0.8\) Step 2: Multiply both numbers by 10: \(224 \div 8\) Step 3: \(224 \div 8 = 28\) Final Answer: 28 sections
The document Worksheet (with Solutions): Divide Decimals is a part of the Grade 5 Course Math Grade 5.
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