CBSE Class 5 Mathematics Decimals Worksheet Set 01

Question: Rounding off 9.19 to one decimal place will give
(a) 9.20
(b) 9.00
(c) 9.10
(d) 10.00
Answer : A

Question: Find the decimal number for “Seven Twenty Fifths”.
(a) 0.7
(b) 7.0
(c) 0.28
(d) 0.7
Answer : C

Question: Dividing 145.208 by 0.25.
(a) 580.832
(b) 58.0832
(c) 5808.32
(d) 588.32
Answer : A

Question: Round 12.6257 to three decimal places.
(a) 12.6
(b) 12.626
(c) 12.625
(d) 12.63
Answer : B

Question: Rewrite the following in the decimal form of the given unit 92 mm into cm.
(a) 0.92 cm
(b) 9.2 cm
(c) 920 cm
(d) 0.092 cm
Answer : B

Question: Rewrite the following in the decimal form of the given unit 7 ml into litre.
(a) 0.007 litre
(b) 0.07 litre
(c) 0.7 litre
(d) 70 litre
Answer : A

Question: Rewrite the following in the decimal form of the given unit 29 cm into mm.
(a) 2.90 mm
(b) 0.29 mm
(c) 290 mm
(d) 29000 mm
Answer : C

Question: The difference of 325.312 and 253.175 is:
(a) 72.003
(b) 72.137
(c) 72.130
(d) 72.107
Answer : B

Question: Which of the following expressions is true?
(a) 2.3749 > 2.0349
(b) 2.03749 < 2.003749
(c) 2.3749 > 2.4749
(d) None of these
Answer : A

Question: Round 106.5 to the nearest whole number.
(a) 100
(b) 106
(c) 107
(d) 110
Answer : C

Question: The product of 982.311 and 2.43 is:
(a) 2387.0133
(b) 2387.01000
(c) 2387.0573
(d) 2387.01573
Answer : D

Question: 9.471 if expressed as fraction can be written as:
(a) 471/1000
(b) 9(471/1000)
(c) 9(471/100)
(d) 900(471/10)
Answer : B

Question: The value of 9.85 + 0.6 – 0.28 is _______.
(a) 10.73
(b) 10.37
(c) 10.1 7
(d) 9.17
Answer : C

Question: Find the decimal number for “12.78” rounded to the nearest tenth.
(a) 12.8
(b) 12.7
(c) 12.79
(d) 13.0
Answer : A

Question: 500.5 × __________ = 5005
(a) 10
(b) 100
(c) 1000
(d) 10000
Answer : A

34. Find

(a) 390.99
(b) 436.41
(c) 427.20
(d) 463.41
Answer : D

Question: Diana sells 12 garlands for ₹ 12.12. What is the cost of each garland?
(a) 1.01
(b) 1.1
(c) 1.0
(d) 0.11
Answer : A

Question: Find the decimal number for “3.8439” rounded to the nearest hundredth.
(a) 3.84
(b) 3.844
(c) 3.843
(d) 3.85
Answer : A

Question: Which of the following holds true or false? (Critical Thinking)
(A) 0.5 = 0.5000.
(B) 0.5 = 5/100 .
(C) 0.5 = 5 × 1/1000 .
(D) 0.5 = 5.0.
(a) TFFF
(b) FTFF
(c) FFTF
(d) FFFT
Answer : A

Question: Which of the following holds true or false?
(A) 0.3 + 0.7 = 10.00.
(B) 0.30 + 0.70 = 1.00.
(C) 0.30 + 0.70 = 0.10.
(D) 0.3 + 0.7 = 1.10.
(a) TFTT
(b) FTFF
(c) TFFF
(d) FFTT
Answer : B

Topic : Decimals

NOTE - ALL QUESTIONS ARE COMPULSORY :

(1) Convert the fractions into decimals:
(a) 1/5
(b) 7/4
(c) 7(1/6)
(d) 2(3//8)
(e) 3(7/20)
(f) 8(9/40)

(2) The cost of 24 pens is Rs 375.60 , find the cost of each pen ?

(3) The weight of 37 bags of sugar is 3644.5 kg. If all the bags weight equally, what is the weight of each bag ?

(4) 1.8 m of cloth is required for a shirt. How many such shirts can be made from a piece of cloth 45 m long ?

(5) The product of two decimals is 261.36 , If one of them is 17.6 , find the other.

(6) By how much should 100 be decreased to get 18.8 ?

(7) The cost of one chocolate is Rs 13.85 , what is the cost of 16 chocolates ?

(8) Find the weight of 16 bags of sugar, each weighing 48.450 kg.

(9) Divide 2.13 by 15 .

(10) Find the continued product : 1.73 × 8.2 × 0.6

Unit 5 Decimals (Ex. 5.6 - 5.10)

Question 1. The number of decimal places in the product equals the ________ of the number of decimal places in the factors.
Answer: sum
In simple words: When multiplying decimals, add up the total number of decimal places in the numbers being multiplied to find the decimal places in the answer.

Exam Tip: Count digits to the right of the decimal point in all factors combined.

Question 2. \(1.2 \times 3 =\)
Answer: \(3.6\)
In simple words: Multiply 12 by 3 to get 36, then place the decimal point one digit from the right.

Exam Tip: Ignore the decimal point temporarily, multiply normally, and then adjust the decimal places.

Question 3. To multiply a decimal by 10, move the decimal point one place to the ________.
Answer: right
In simple words: Multiplying by 10 makes the number larger, so shift the decimal point one position to the right.

Question 4. To multiply a decimal by 100, move the decimal point ________ places to the right.
Answer: two
In simple words: Since 100 has two zeros, move the decimal point two places to the right.

Exam Tip: If there are not enough digits, add zeros as placeholders on the right.

Question 5. To divide a decimal by 10, move the decimal point one place to the ________.
Answer: left
In simple words: Dividing by 10 makes the number smaller, so shift the decimal point one position to the left.

Exam Tip: Division by powers of 10 always moves the decimal point to the left.

Question 6. To divide a decimal by 100, move the decimal point ________ places to the left.
Answer: two
In simple words: Since 100 has two zeros, shift the decimal point two positions to the left.

Exam Tip: Add leading zeros if necessary when shifting past the first digit.

Question 7. \(18.5 \times 10 =\)
Answer: \(185\) (or \(185.0\)
In simple words: Move the decimal point one place to the right.

Exam Tip: Multiplying by 10 removes one decimal place.

Question 8. \(23.5 \div 10 =\)
Answer: \(2.35\)
In simple words: Move the decimal point one place to the left.

Exam Tip: Division by 10 decreases the place value of each digit by a factor of 10.

Question 9. \(16.73 \times 100 =\)
Answer: \(1673\) (or \(1673.0\)
In simple words: Move the decimal point two places to the right.

Exam Tip: Multiplying a two-decimal number by 100 results in a whole number.

Question 10. \(0.85 \times 100 =\)
Answer: \(85\) (or \(85.0\)
In simple words: Shift the decimal point two places to the right to get 85.

Exam Tip: Shift the exact number of places as the number of zeros in 100.

Question 11. \(5.93 \div 10 =\)
Answer: \(0.593\)
In simple words: Shift the decimal point one place to the left.

Exam Tip: Place a zero before the decimal point when there is no whole number part.

Add

Question 1(1). \(48.58 + 2.4\)
Answer:
\(48.58 + 2.40 = 50.98\)
In simple words: Line up the decimal points and add the numbers column by column.

Exam Tip: Always pad decimals with trailing zeros so both numbers have the same number of decimal digits before adding.

Question 1(2). \(693.4 + 49.7\)
Answer:
\(693.4 + 49.7 = 743.1\)
In simple words: Align decimal points and add to get 743.1.

Exam Tip: Remember to carry over correctly when the sum in any column exceeds 9.

Question 1(3). \(18.95 + 0.71\)
Answer:
\(18.95 + 0.71 = 19.66\)
In simple words: Add the tenths and hundredths places carefully with proper alignment.

Exam Tip: Keep the decimal point straight in your vertical alignment.

Question 1(4). \(12.05 + 2.1 + 1.97\)
Answer:
\(12.05 + 2.10 + 1.97 = 16.12\)
In simple words: Convert all decimals to two decimal places (\(2.1\) becomes \(2.10\)) and add them up.

Question 1(5). \(17.01 + 20.1\)
Answer:
\(17.01 + 20.10 = 37.11\)
In simple words: Line up the decimal points and add to find 37.11.

Exam Tip: Double-check column alignment to avoid addition errors.

Compare using \(<, >\) or \(=\)

Question 2(1). \(8 + 0.05\) \Box \ 0.85 \)
Answer:
\(8 + 0.05 = 8.05\)
Comparing \(8.05\) and \(0.85\), we get \(8.05 > 0.85\)
So, \(8 + 0.05 > 0.85\)
In simple words: Calculate the left side first (\(8.05\)) and compare it with the right side (\(0.85\)).

Exam Tip: Compare the whole number parts first; since 8 is greater than 0, the left side is larger.

Question 2(2). \(9.3 + 1.2\) \Box \ 8.7 + 4.8 \)
Answer:
Left side: \(9.3 + 1.2 = 10.5\)
Right side: \(8.7 + 4.8 = 13.5\)
Comparing \(10.5\) and \(13.5\), we get \(10.5 < 13.5\)
So, \(9.3 + 1.2 < 8.7 + 4.8\)
In simple words: Find the sum on both sides and compare the resulting values.

Exam Tip: Always evaluate both expressions completely before placing the inequality sign.

Question 2(3). \(20 + 0.01\) \Box \ 20.01 \)
Answer:
Left side: \(20 + 0.01 = 20.01\)
Right side: \(20.01\)
Comparing \(20.01\) and \(20.01\), they are equal.
So, \(20 + 0.01 = 20.01\)
In simple words: Both sides simplify to the exact same decimal number.

Exam Tip: Recognize standard decimal expansions to quickly spot equality.

Subtract

Question 3(1). \(11.52 - 5.7\)
Answer:
\(11.52 - 5.70 = 5.82\)
In simple words: Pad \(5.7\) with a zero to make it \(5.70\), then subtract column by column.

Exam Tip: Always align decimal points vertically before subtracting.

Question 3(2). \(11.01 - 10.11\)
Answer:
\(11.01 - 10.11 = 0.90\) (or \(0.9\)
In simple words: Subtract \(10.11\) from \(11.01\) using borrowing to get \(0.90\).

Exam Tip: Pay close attention to borrowing across the decimal point.

Question 3(3). \(8 - 7.05\)
Answer:
\(8.00 - 7.05 = 0.95\)
In simple words: Write whole number 8 as \(8.00\) and subtract \(7.05\) to get \(0.95\).

Exam Tip: Whole numbers must have a decimal point and zeros added when subtracting decimals.

Question 3(4). \(14.2 - 12.05\)
Answer:
\(14.20 - 12.05 = 2.15\)
In simple words: Write \(14.2\) as \(14.20\) and subtract \(12.05\) to get \(2.15\).

Exam Tip: Ensure equal decimal places by adding placeholder zeros.

Introduce the decimal point at the correct place in the product.

Question 4(1). \(0.05 \times 9 = 45\)
Answer:
\(0.05 \times 9 = 0.45\)
In simple words: Since \(0.05\) has two decimal places, the product must have two decimal places.

Exam Tip: Count total decimal places in the factors to place the decimal point in the product.

Question 4(2). \(9 \times 10.1 = 909\)
Answer:
\(9 \times 10.1 = 90.9\)
In simple words: \(10.1\) has one decimal place, so put the decimal point one digit from the right.

Exam Tip: The number of decimal places in the answer equals the number of decimal places in the decimal factor.

Question 4(3). \(2.5 \times 4 = 100\)
Answer:
\(2.5 \times 4 = 10.0\) (or \(10\)
In simple words: \(2.5\) has one decimal place, so place the decimal point one digit from the right in 100 to get \(10.0\).

Exam Tip: \(10.0\) simplifies to the whole number \(10\).

Question 4(4). \(0.24 \times 3 = 72\)
Answer:
\(0.24 \times 3 = 0.72\)
In simple words: \(0.24\) has two decimal places, so the result is \(0.72\).

Exam Tip: Count two places from the right of 72.

Question 4(5). \(17 \times 1.17 = 1989\)
Answer:
\(17 \times 1.17 = 19.89\)
In simple words: \(1.17\) has two decimal places, so the product has two decimal places.

Exam Tip: Place the decimal point two digits from the right in 1989.

Question 12. \(65.2 \div 100 =\)
Answer: \(0.652\)
In simple words: Move the decimal point two places to the left.

Exam Tip: Dividing by 100 shifts the decimal point two positions left.

Question 13. \(2.7 \div 100 =\)
Answer: \(0.027\)
In simple words: Shift the decimal point two places to the left, adding a zero placeholder.

Exam Tip: Insert zeros between the decimal point and the digits when needed during left shifts.

Question 14. \(42.1 \times \underline{\quad\quad} = 421\)
Answer: \(10\)
In simple words: The decimal point moved one place to the right, which means multiplying by 10.

Exam Tip: Count the number of places the decimal point shifted to determine if it is 10, 100, or 1000.

Question 15. \(1.93 \times \underline{\quad\quad} = 19.3\)
Answer: \(10\)
In simple words: The decimal point moved one place to the right, so the multiplier is 10.

Exam Tip: Shifting one place right corresponds to multiplication by 10.

Question 16. \(2.75 \times \underline{\quad\quad} = 275\)
Answer: \(100\)
In simple words: The decimal point moved two places to the right, so the multiplier is 100.

Exam Tip: Shifting two places right corresponds to multiplication by 100.

Question 17. \(0.93 \times \underline{\quad\quad} = 93\)
Answer: \(100\)
In simple words: The decimal point moved two places to the right, so the multiplier is 100.

Exam Tip: Two decimal places eliminated means multiplication by 100.

Question 18. \(0.5 \div \underline{\quad\quad} = 0.05\)
Answer: \(10\)
In simple words: The decimal point moved one place to the left, which means dividing by 10.

Exam Tip: A left shift of one place in division indicates the divisor is 10.

Question 19. \(0.63 \div \underline{\quad\quad} = 0.063\)
Answer: \(10\)
In simple words: The decimal point moved one place to the left, so the divisor is 10.

Exam Tip: Check the direction and count of decimal shifts to find the power of 10.

Question 20. \(\underline{\quad\quad} \div 100 = 0.08\)
Answer: \(8\)
In simple words: Move the decimal point two places to the right of \(0.08\) to find the original number, which is 8.

Exam Tip: To reverse division by 100, multiply the result by 100.

Question 21. \(2.1 \div \underline{\quad\quad} = 0.021\)
Answer: \(100\)
In simple words: The decimal point moved two places to the left, so the divisor is 100.

Exam Tip: Shifting two places left in division means dividing by 100.