Q1: What is the place value of the digit 7 in the decimal number 3.576? (a) Tenths (b) Hundredths (c) Thousandths (d) Ones
Solution:
Ans: (b) Explanation: In the decimal number 3.576, the digit 7 is in the hundredths place. The first digit after the decimal point is tenths (5), the second digit is hundredths (7), and the third digit is thousandths (6).
Q2: Which decimal is equivalent to the fraction \(\frac{3}{10}\)? (a) 0.3 (b) 0.03 (c) 3.0 (d) 0.003
Solution:
Ans: (a) Explanation: The fraction \(\frac{3}{10}\) means 3 parts out of 10 equal parts, which is written as 0.3 in decimal form. The 3 is in the tenths place.
Q3: Which of the following decimals is the largest? (a) 0.45 (b) 0.5 (c) 0.405 (d) 0.54
Solution:
Ans: (d) Explanation: Comparing the decimals: 0.45 = 0.45, 0.5 = 0.50, 0.405 = 0.405, and 0.54 = 0.54. When we compare tenths first, 0.5 and 0.54 both have 5 tenths. Then comparing hundredths, 0.54 has 4 hundredths while 0.5 has 0 hundredths, making 0.54 the largest.
Q4: What is \(0.6 + 0.25\)? (a) 0.85 (b) 0.31 (c) 8.5 (d) 0.65
Solution:
Ans: (a) Explanation: To add decimals, line up the decimal points:
0.60
+ 0.25
______
0.85
The sum is 0.85.
Q5: Which fraction is equal to 0.75? (a) \(\frac{75}{10}\) (b) \(\frac{7}{5}\) (c) \(\frac{3}{4}\) (d) \(\frac{75}{1000}\)
Solution:
Ans: (c) Explanation: The decimal 0.75 can be written as \(\frac{75}{100}\). When simplified by dividing both numerator and denominator by 25, we get \(\frac{3}{4}\).
Q6: What is \(1.2 - 0.7\)? (a) 0.5 (b) 1.9 (c) 0.6 (d) 1.5
Solution:
Ans: (a) Explanation: To subtract decimals, line up the decimal points:
1.2
- 0.7
____
0.5
The difference is 0.5.
Q7: How do you write five and twenty-three hundredths as a decimal? (a) 5.23 (b) 5.023 (c) 52.3 (d) 0.523
Solution:
Ans: (a) Explanation: "Five" is the whole number part, and "twenty-three hundredths" means 23 in the hundredths place. This is written as 5.23.
Q8: Which comparison is correct? (a) 0.8 <> (b) 0.6 > 0.60 (c) 0.9 > 0.7 (d) 0.4 <>
Solution:
Ans: (c) Explanation: Checking each option:
(a) 0.8 is greater than 0.08, so this is incorrect.
(b) 0.6 and 0.60 are equal, so this is incorrect.
(c) 0.9 is greater than 0.7, so this is correct.
(d) 0.4 is greater than 0.04, so this is incorrect.
Section B: Fill in the Blanks
Q9: In the decimal 4.82, the digit 8 is in the __________ place.
Solution:
Ans: tenths Explanation: The first position after the decimal point is the tenths place. In 4.82, the 8 is immediately after the decimal point.
Q10: The decimal 0.5 is equivalent to the fraction __________.
Solution:
Ans: \(\frac{1}{2}\) or \(\frac{5}{10}\) Explanation: The decimal 0.5 means 5 tenths, which is \(\frac{5}{10}\). When simplified, this equals \(\frac{1}{2}\).
Q11: When comparing 0.36 and 0.4, the larger decimal is __________.
Solution:
Ans: 0.4 Explanation: Comparing tenths: 0.36 has 3 tenths and 0.4 has 4 tenths. Since 4 tenths is greater than 3 tenths, 0.4 is larger.
Q12: The sum of 0.3 and 0.4 is __________.
Solution:
Ans: 0.7 Explanation: Adding the decimals: \(0.3 + 0.4 = 0.7\). Both are in tenths, so 3 tenths plus 4 tenths equals 7 tenths.
Q13: The decimal number two and fifteen hundredths is written as __________.
Solution:
Ans: 2.15 Explanation: "Two" is the whole number, and "fifteen hundredths" means 15 in the hundredths place, written as 2.15.
Q14: A decimal with digits in the tenths and hundredths places has __________ digits after the decimal point.
Solution:
Ans: two Explanation: The tenths place is the first digit after the decimal point, and the hundredths place is the second digit. So there are two digits after the decimal point.
Section C: Word Problems
Q15: Maria ran 2.3 miles on Monday and 1.8 miles on Tuesday. How many miles did she run in total?
Solution:
Ans:
To find the total distance, add the two distances:
\(2.3 + 1.8\)
Line up the decimal points:
2.3
+ 1.8
_____
4.1 Final Answer: 4.1 miles
Q16: A ribbon is 5.6 meters long. Sarah cuts off 2.4 meters. How much ribbon is left?
Solution:
Ans:
To find the remaining ribbon, subtract the amount cut off:
\(5.6 - 2.4\)
Line up the decimal points:
5.6
- 2.4
_____
3.2 Final Answer: 3.2 meters
Q17: Tom bought 0.75 kilograms of apples and 0.5 kilograms of oranges. How many kilograms of fruit did he buy altogether?
Solution:
Ans:
To find the total weight, add the two weights:
\(0.75 + 0.5\)
Rewrite 0.5 as 0.50 to line up the decimal places:
0.75
+ 0.50
______
1.25 Final Answer: 1.25 kilograms
Q18: A water bottle contains 1.5 liters of water. If Jenny drinks 0.8 liters, how much water remains in the bottle?
Solution:
Ans:
To find the remaining water, subtract the amount drunk:
\(1.5 - 0.8\)
Line up the decimal points:
1.5
- 0.8
_____
0.7 Final Answer: 0.7 liters
Q19: A pencil costs $0.45 and an eraser costs $0.35. What is the total cost of both items?
Solution:
Ans:
To find the total cost, add the two prices:
\(0.45 + 0.35\)
Line up the decimal points:
0.45
+ 0.35
______
0.80 Final Answer: $0.80
Q20: Lisa has a piece of string that is 3.2 meters long. She uses 1.75 meters for a project. How much string does she have left?
Solution:
Ans:
To find the remaining string, subtract the amount used:
\(3.2 - 1.75\)
Rewrite 3.2 as 3.20 to line up the decimal places:
3.20
- 1.75
______
1.45 Final Answer: 1.45 meters
The document Worksheet (with Solutions): Decimal Fractions is a part of the Grade 4 Course Math Grade 4.
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