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All questions of Decimals for Class 3 Exam

Which of these means “three and six-tenths”?
  • a)
    3.6
  • b)
    36
  • c)
    0.36
  • d)
    6.3
Correct answer is option 'A'. Can you explain this answer?

Bhargavi Iyer answered
Understanding the Number: Three and Six-Tenths
To interpret the phrase "three and six-tenths," we need to break down what this means in numerical form.
Breaking Down the Phrase
- Three: This indicates the whole number part, which is 3.
- Six-tenths: This represents a decimal fraction. The term "tenths" means that the number is divided into ten equal parts, and "six" indicates that we are considering six of those parts.
Combining the Parts
- When you combine the whole number (3) and the decimal fraction (six-tenths), you express this as:
- 3 (whole number) + 0.6 (decimal for six-tenths) = 3.6
Thus, "three and six-tenths" translates to the decimal 3.6.
Analyzing the Options
Now, let's evaluate the provided options to confirm our understanding:
- a) 3.6: Correct. This represents three and six-tenths.
- b) 36: Incorrect. This is a whole number, not a decimal.
- c) 0.36: Incorrect. This represents thirty-six hundredths, not six-tenths.
- d) 6.3: Incorrect. This means six and three-tenths, which is not what we are looking for.
Conclusion
The correct answer is option a) 3.6, which accurately represents "three and six-tenths." Understanding decimals and fractions is crucial in mathematics, and this exercise helps clarify how to express mixed numbers in decimal form.

Fill in the missing numbers to complete the pattern: 4.4, ____, 4.8, ____, 5.2. 5.4
  • a)
    4.5, 5
  • b)
    4.7, 5.1
  • c)
    4.6, 5
  • d)
    4.5, 5.1
Correct answer is option 'C'. Can you explain this answer?

Sudhir Mehta answered
 4.4, ___, 4.8, ____, 5.2, 5.4. By studying the pattern we can see that the previous number is smaller than the next by 0.2. Thus by adding 0.2 to 4.4 and 4.8 respectively, we get 4.6 and 5 to complete the decimal chain.

Subtract 7.03 – 2.76
  • a)
    42.7
  • b)
    427
  • c)
    .427
  • d)
    4.27
Correct answer is option 'D'. Can you explain this answer?

Jaideep Pillai answered
There is no number provided to subtract 7.03 from. Please provide the number you would like to subtract 7.03 from.

Which of the following is equal to 4/10?
  • a)
    0.04
  • b)
    0.4
  • c)
    0.40
  • d)
    both b and c
Correct answer is option 'D'. Can you explain this answer?

Jai deshpande answered
Understanding Fractions and Decimals
When we talk about fractions and decimals, it's important to understand how they relate to each other. The fraction 4/10 can be converted into a decimal by dividing the numerator (4) by the denominator (10).
Converting 4/10 to Decimal
- To convert 4/10 into a decimal, perform the division:
- 4 ÷ 10 = 0.4
Options Analysis
Now, let's analyze the options provided:
- a) 0.04: This is much smaller than 0.4.
- b) 0.4: This is exactly the result of our division and is equal to 4/10.
- c) 0.40: This is equivalent to 0.4 because in decimal notation, trailing zeros do not change the value.
- d) both b and c: Since both 0.4 and 0.40 represent the same value, this option is correct.
Correct Answer
Therefore, the correct answer is option 'D' because both 0.4 and 0.40 are equal to the fraction 4/10.
Conclusion
In summary, 4/10 is equal to both 0.4 and 0.40. Understanding how fractions convert to decimals helps in grasping more advanced mathematical concepts.

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