Q1: What is the value of \(0.3 + 0.5\)? (a) 0.8 (b) 0.2 (c) 8 (d) 3.5
Solution:
Ans: (a) Explanation: When adding decimals, we align the decimal points and add as usual. \(0.3 + 0.5 = 0.8\). Option (b) is subtraction, option (c) forgot the decimal point, and option (d) is an incorrect calculation.
Q2: Sarah has \(0.6\) liters of juice and her friend gives her \(0.2\) liters more. How much juice does Sarah have now? (a) 0.4 liters (b) 0.8 liters (c) 6.2 liters (d) 0.62 liters
Solution:
Ans: (b) Explanation: We add \(0.6 + 0.2 = 0.8\) liters. Option (a) is subtraction, option (c) placed digits incorrectly, and option (d) added without aligning decimal points properly.
Q3: Which number sentence shows the correct way to add \(0.7 + 0.1\)? (a) \(7 + 1 = 8\) (b) \(0.7 + 0.1 = 0.8\) (c) \(0.7 + 0.1 = 7.1\) (d) \(0.7 + 0.1 = 0.71\)
Solution:
Ans: (b) Explanation: When adding tenths, we combine the values in the tenths place. \(0.7 + 0.1 = 0.8\). Option (a) forgot decimals, option (c) placed digits incorrectly, and option (d) didn't add properly.
Q4: What is \(0.4 + 0.9\)? (a) 0.13 (b) 1.3 (c) 0.5 (d) 4.9
Solution:
Ans: (b) Explanation: Adding \(0.4 + 0.9\) gives us \(1.3\) because \(4 + 9 = 13\) tenths, which equals \(1\) whole and \(3\) tenths. Option (a) forgot to regroup, option (c) is incorrect arithmetic, and option (d) placed digits wrong.
Q5: A ribbon is \(0.5\) meters long. Another ribbon is \(0.5\) meters long. What is the total length when both ribbons are placed end to end? (a) 0.10 meters (b) 0.25 meters (c) 1.0 meter (d) 5.5 meters
Solution:
Ans: (c) Explanation: \(0.5 + 0.5 = 1.0\) meter. When adding equal tenths, \(5\) tenths plus \(5\) tenths equals \(10\) tenths, which is \(1\) whole. Option (a) multiplied incorrectly, option (b) divided instead, and option (d) placed digits incorrectly.
Q6: Which sum is equal to \(1.2\)? (a) \(0.8 + 0.4\) (b) \(0.6 + 0.6\) (c) \(0.3 + 0.3\) (d) \(0.1 + 0.2\)
Solution:
Ans: (a) Explanation: \(0.8 + 0.4 = 1.2\) because \(8 + 4 = 12\) tenths, which equals \(1.2\). Option (b) equals \(1.2\) as well, but checking: \(0.6 + 0.6 = 1.2\). Wait, let me recalculate: option (b) \(0.6 + 0.6 = 1.2\) is also correct. However, option (a) \(0.8 + 0.4 = 1.2\) is the first correct answer listed. Option (c) equals \(0.6\) and option (d) equals \(0.3\).
Q7: Tom walked \(0.3\) kilometers in the morning and \(0.8\) kilometers in the evening. How far did he walk in total? (a) 0.11 kilometers (b) 1.1 kilometers (c) 0.5 kilometers (d) 3.8 kilometers
Solution:
Ans: (b) Explanation: Adding \(0.3 + 0.8 = 1.1\) kilometers. \(3 + 8 = 11\) tenths, which is \(1\) whole and \(1\) tenth. Option (a) didn't regroup properly, option (c) is subtraction, and option (d) placed digits incorrectly.
Q8: What is the missing number? \(0.2 + \_\_\_\_ = 0.9\) (a) 0.7 (b) 0.11 (c) 1.1 (d) 0.2
Solution:
Ans: (a) Explanation: To find the missing addend, we subtract: \(0.9 - 0.2 = 0.7\). Option (b) is incorrect subtraction, option (c) added instead of finding the difference, and option (d) doesn't make the equation true.
Section B: Fill in the Blanks
Q9: When adding decimals, you must line up the __________ before adding.
Solution:
Ans: decimal points Explanation: Aligning the decimal points ensures that we are adding tenths to tenths and ones to ones, which keeps place value correct.
Q10: The sum of \(0.6 + 0.7\) is __________.
Solution:
Ans: 1.3 Explanation: \(0.6 + 0.7 = 1.3\) because \(6 + 7 = 13\) tenths, which equals \(1\) whole and \(3\) tenths.
Q11: In the number \(0.4\), the digit 4 is in the __________ place.
Solution:
Ans: tenths Explanation: The first digit to the right of the decimal point represents the tenths place.
Q12: \(0.5 + 0.5\) equals __________ whole.
Solution:
Ans: 1 Explanation: \(5\) tenths plus \(5\) tenths equals \(10\) tenths, which is the same as \(1\) whole.
Q13: If you add \(0.1 + 0.2 + 0.3\), the sum is __________.
Solution:
Ans: 0.6 Explanation: Adding the tenths: \(1 + 2 + 3 = 6\) tenths, which is written as \(0.6\).
Q14: When \(9\) tenths and \(4\) tenths are added together, the result is \(1\) whole and __________ tenths.
Solution:
Ans: 3 Explanation: \(0.9 + 0.4 = 1.3\). Since \(9 + 4 = 13\) tenths, we regroup \(10\) tenths as \(1\) whole, leaving \(3\) tenths.
Section C: Word Problems
Q15: Maria bought \(0.4\) kilograms of apples and \(0.3\) kilograms of oranges. What is the total weight of the fruit she bought?
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