CBSE Class 6 Mathematics Decimals Assignment Set 04

M. C. Q.

Question 1. Subtract \(53.4\) from \(60\) and the result is
(i) \(7.6\)
(ii) \(6.6\)
(iii) \(5.6\)
(iv) None of the options
Answer: (ii) \(6.6\)
\(60 - 53.4 = 6.6\)
In simple words: Subtracting \(53.4\) from \(60\) gives \(6.6\).

Exam Tip: Always align the decimal points vertically when subtracting decimals by padding whole numbers with a decimal point and zeros (e.g., \(60.0 - 53.4\)).

Question 2. What should be added to \(534.5\) to become \(702.4\)?
(i) \(167.9\)
(ii) \(166.9\)
(iii) \(236.9\)
(iv) \(306.9\)
Answer: (i) \(167.9\)
Let the required number be \(x\).
\(534.5 + x = 702.4\)
\(x = 702.4 - 534.5 = 167.9\)
In simple words: Find the difference between the target number and the given number.

Exam Tip: To find the missing addend, subtract the given part from the total sum.

Question 3. Subtract \(0.4\) from \(2.3\)
(i) \(2.9\)
(ii) \(0.9\)
(iii) \(1.9\)
(iv) \(3.9\)
Answer: (iii) \(1.9\)
\(2.3 - 0.4 = 1.9\)
In simple words: Subtract \(0.4\) from \(2.3\) to get \(1.9\).

Exam Tip: Borrow correctly from the units place if the tenths digit of the minuend is smaller than that of the subtrahend.

Question 4. Multiply \(3.452\) by \(10\)
(i) \(34.52\)
(ii) \(345.2\)
(iii) \(0.3452\)
(iv) \(3452\)
Answer: (i) \(34.52\)
\(3.452 \times 10 = 34.52\)
In simple words: Multiplying by \(10\) shifts the decimal point one place to the right.

Exam Tip: When multiplying by powers of \(10\), shift the decimal point to the right by as many places as there are zeros.

Question 5. Multiply \(0.006\) by \(0.02\)
(i) \(.12\)
(ii) \(.012\)
(iii) \(.0012\)
(iv) \(0.00012\)
Answer: (iv) \(0.00012\)
\(6 \times 2 = 12\)
Total decimal places = \(3 + 2 = 5\)
\(0.006 \times 0.02 = 0.00012\)
In simple words: Multiply the whole numbers and place the decimal point after counting the total number of decimal places from both factors.

Exam Tip: Ensure the product has the correct number of decimal places by adding leading zeros if necessary.

Question 6. Multiply \(2.3\) by \(6\)
(i) \(1.38\)
(ii) \(0.138\)
(iii) \(0.0138\)
(iv) \(13.8\)
Answer: (iv) \(13.8\)
\(2.3 \times 6 = 13.8\)
In simple words: Multiply \(23\) by \(6\) to get \(138\), then place the decimal point after one digit.

Exam Tip: Count the decimal places in the multiplier and multiplicand to place the decimal point in the final product.

Question 7. Divide \(3.004\) by \(100\)
(i) \(300.4\)
(ii) \(30.04\)
(iii) \(0.03004\)
(iv) \(0.3004\)
Answer: (iii) \(0.03004\)
\(3.004 \div 100 = 0.03004\)
In simple words: Dividing by \(100\) shifts the decimal point two places to the left.

Exam Tip: When dividing by powers of \(10\), shift the decimal point to the left by the number of zeros in the divisor.

Question 8. Divide \(5.4\) by \(3\)
(i) \(0.18\)
(ii) \(1.8\)
(iii) \(18\)
(iv) \(0.018\)
Answer: (ii) \(1.8\)
\(5.4 \div 3 = 1.8\)
In simple words: Divide \(54\) by \(3\) to get \(18\), then place the decimal point after one digit.

Exam Tip: Treat decimal division like whole number division, keeping the decimal point aligned in the quotient.

Question 9. \(1001\) cm in km is
(i) \(0.01001\)
(ii) \(0.00100\)
(iii) \(0.0100\)
(iv) \(0.0001001\)
Answer: (i) \(0.01001\)
\(1\text{ km} = 100,000\text{ cm}\)
\(1001 \div 100,000 = 0.01001\text{ km}\)
In simple words: To convert centimeters to kilometers, divide by \(100,000\).

Exam Tip: Remember the conversion chain: \(1\text{ m} = 100\text{ cm}\) and \(1\text{ km} = 1,000\text{ m}\), so \(1\text{ km} = 100,000\text{ cm}\).

Question 10. Rs. \(8.35\) in paisa only is
(i) \(83.5\)
(ii) \(8.35\)
(iii) \(835\)
(iv) \(0.835\)
Answer: (iii) \(835\)
\(1\text{ Rupee} = 100\text{ paisa}\)
\(8.35 \times 100 = 835\text{ paisa}\)
In simple words: Multiply rupees by \(100\) to convert into paisa.

Exam Tip: Multiplying by \(100\) shifts the decimal point two places to the right.

Question 11. Convert \(54\) rupees \(8\) paisa in rupees
(i) \(5.48\)
(ii) \(54.08\)
(iii) \(54.008\)
(iv) \(5.048\)
Answer: (ii) \(54.08\)
\(8\text{ paisa} = \frac{8}{100}\text{ rupees} = 0.08\text{ rupees}\)
\(54\text{ rupees} + 0.08\text{ rupees} = 54.08\text{ rupees}\)
In simple words: Express \(8\) paisa as \(0.08\) rupees and add it to \(54\) rupees.

Exam Tip: Always write paisa as a two-digit decimal value (\(0.08\) instead of \(0.8\)) when converting to rupees.

Question 12. \(8\) litres \(18\) ml in litres is
(i) \(8.018\)
(ii) \(8.18\)
(iii) \(80.18\)
(iv) \(801.8\)
Answer: (i) \(8.018\)
\(1\text{ litre} = 1,000\text{ ml}\)
\(18\text{ ml} = \frac{18}{1000}\text{ litres} = 0.018\text{ litres}\)
\(8\text{ litres} + 0.018\text{ litres} = 8.018\text{ litres}\)
In simple words: Convert \(18\) ml to litres by dividing by \(1,000\) and add to \(8\) litres.

Exam Tip: Since \(1\) litre has \(1,000\) millilitres, millilitres must occupy three decimal places in litres.

Question 13. \(5.3\text{ kg}\) is equivalent to how many grams?
(i) \(530\)
(ii) \(5300\)
(iii) \(53000\)
(iv) \(53\)
Answer: (ii) \(5300\)
\(1\text{ kg} = 1,000\text{ g}\)
\(5.3 \times 1,000 = 5,300\text{ g}\)
In simple words: Multiply kilograms by \(1,000\) to convert into grams.

Exam Tip: Shift the decimal point three places to the right when multiplying by \(1,000\).

Question 14. \(5\) paisa expressed in rupees is
(i) \(0.05\)
(ii) \(0.005\)
(iii) \(0.0005\)
(iv) \(5\)
Answer: (i) \(0.05\)
\(1\text{ Rupee} = 100\text{ paisa}\)
\(5 \div 100 = 0.05\text{ rupees}\)
In simple words: Divide paisa by \(100\) to get the value in rupees.

Exam Tip: Division by \(100\) moves the decimal point two places to the left.

Question 15. Sum of two numbers is \(100\). If one of them is \(70.96\), the other number is
(i) \(2.904\)
(ii) \(0.2904\)
(iii) \(290.4\)
(iv) \(29.04\)
Answer: (iv) \(29.04\)
Other number = \(100 - 70.96 = 29.04\)
In simple words: Subtract the given number from the total sum to find the other number.

Exam Tip: Write \(100\) as \(100.00\) to make decimal subtraction easier.