Important Questions Test: Decimals - Class 6 MCQ

• Every fraction with denominator 10 can be written in decimal form and vice-versa.
• One block divided into 100 equal parts means each part is 1/100 (one-hundredth) of a unit.
• It can be written as 0.01 in decimal form.
• Every fraction with denominator 100 can be written in decimal form and vice-versa.

Calculation:

• 200 + 30 + 5 + 2/10 + 9/100 = 200 + 30 + 5 + 0.2 + 0.09
• 200 + 30 + 5 + 0.2 + 0.09 = 235.29

Final Answer:

The given expression as a decimal is 235.29

Given numbers:

• 0.29
• 0.36

Calculation:

• Add the two numbers: 0.29 + 0.36 = 0.65

Answer: 0.65

Decimal Representation of 60 + 1/10 + 3/100

• Step 1: 1/10 + 3/100 = 10/100 + 3/100 = 13/100
• Step 2: Convert the fraction 13/100 to a decimal by dividing 13 by 100: 13 ÷ 100 = 0.13
• Step 3: Add the decimal 0.13 to the whole number 60: 60 + 0.13 = 60.13

Therefore, the decimal representation of 60 + 1/10 + 3/100 is 60.13, which is option B.

• 0.7 + 0.08 = 0.78

Detailed Explanation:

• To add decimal numbers, align the decimal points and add as you would with whole numbers.
• Add 0.7 and 0.08:

= 0.7 + 0.08 = 0.78

• The correct answer is 0.78 (option A)

1 divided by 4 equals 0.25. So 1/4 is equal to 0.25.

30+1/10
30+0.1=30.1

• Breaking down 2 rupees and 50 paise into decimal form:
  • Rupees: 2
  • Paise: 50
• Converting paise to decimal:
  • 1 Rupee = 100 paise
  • Therefore, 50 paise = 50/100 = 0.50 rupees
• Combining rupees and decimal form of paise:
  • 2 rupees + 0.50 rupees = 2.50 rupees
• Therefore, 2 rupees and 50 paise is correctly represented as Rs 2.50 in decimal form. The correct answer is D.

• Step 1: Understand that 'six-tenths' means 6 parts out of 10 parts.
• Step 2: To convert this fraction to a decimal, divide the numerator (6) by the denominator (10).
• Step 3: 6 ÷ 10 = 0.6
• Step 4: Therefore, the decimal form of 'six-tenths' is 0.6
  
   

- Comparison of Decimals: To compare 0.01 and 0.3, align the decimals. 0.01 is equivalent to 0.010.
- Analyze Place Value:
- 0.01 has a '1' in the hundredths place.
- 0.3 has a '3' in the tenths place.
- Conclusion: Since 0.3 (or 0.30) is greater than 0.01, option B is correct.
- Clarification: 0.01 (one hundredth) is less than 0.3 (three tenths).The correct option is B as 0.1 is greater than 0.03.

• Definition: One-hundredth is a fraction that represents one part out of 100 equal parts.
• Decimal Notation: To convert a fraction to a decimal, we divide the numerator by the denominator. In this case, 1 divided by 100 is 0.01.
• Decimal Notation: Therefore, the decimal notation of one-hundredth is 0.01
  
   

Since, 0.023 is greater than 0.02 and less than 0.03. Thus it lies between 0.02 and 0.03.

• First, add 40 and 2 to get 42.
• Then, add 3/10 which is equivalent to 0.3.

• Combine 42 and 0.3 to get the final result.

• Therefore, 40 + 2 + 3/10 = 42.3.

• Final Answer: The decimal form of 40 + 2 + 3/10 is 42.3.
  
   

Eleven point two three five 
=11+.235=11.235

- A fraction with a denominator of 100 can be easily converted to decimal notation.
- To convert, divide the numerator by 100. For example, 75/100 = 0.75.
- Decimal notation can also be converted back to a fraction with a denominator of 100 by multiplying the decimal by 100 and using the result as the numerator.

• Add the whole numbers together: 300+20+3 = 323
• Convert the fractions to decimals: 4/10 = 0.4, 5/100 = 0.05
• Add the decimal numbers to the whole number sum: 323 + 0.4 + 0.05 = 323.45
• Therefore, the decimal form of 300+20+3+4/10+5/100 is 323.45

• Convert the fractions to decimals:
  • 7/10 = 0.7
• Add all the numbers together:
  • 300 + 5 + 0.7 = 305.7
• Therefore, the correct answer is 305.7.

• To convert the mixed number 70 + 2/10 + 6/100 into a decimal:
• Start with 70, which is the whole part.
• Convert 2/10 to a decimal: 2/10 = 0.2.
• Convert 6/100 to a decimal: 6/100 = 0.06.
• Add them together: 70 + 0.2 + 0.06 = 70.26.
• Therefore, the correct answer is C: 70.26.

• Given numbers: 2.66 and 1.85
• Adding the numbers: 2.66 + 1.85 = 4.51

• Answer:
• C: 4.51

• Calculation:
• 1.54 + 1.80 = 3.34

• Detailed Explanation:
• To find the sum of 1.54 and 1.80, we simply add the two numbers together.
• Adding 1.54 and 1.80 gives us 3.34.
• Therefore, the correct answer is 3.34 (Option C).