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All questions of Number, Introducing Decimal Numbers for Class 5 Exam

How many tenths are in the decimal number 4.4?
  • a)
    4 tenths
  • b)
    44 tenths
  • c)
    4.4 tenths
  • d)
    40 tenths
Correct answer is option 'B'. Can you explain this answer?

Rithika Menon answered
Understanding Tenths in Decimals
To determine how many tenths are in the decimal number 4.4, we need to break down what tenths mean in a decimal context.
What Are Tenths?
- Tenths are the first digit to the right of the decimal point.
- In the decimal number system, the position of the digits indicates their value. Each place to the right of the decimal point represents a fraction of ten.
Breaking Down 4.4
- The number 4.4 consists of two parts: the whole number (4) and the decimal part (0.4).
- The decimal part, 0.4, means 4 tenths.
Calculating Tenths in 4.4
- The whole number part (4) can be viewed as 40 tenths, because each whole number is equal to 10 tenths (4 x 10 = 40).
- Therefore, 4.4 can be expressed as 40 tenths (from the whole number) plus 4 tenths (from the decimal part).
Final Count of Tenths
- Combining both parts:
- 40 tenths (from 4) + 4 tenths (from 0.4) = 44 tenths
Thus, the correct answer is 44 tenths, which corresponds with option 'B'. This illustrates how we convert whole numbers and decimal parts into tenths effectively.

What is the decimal representation of one-tenth?
  • a)
    1.0
  • b)
    0.1
  • c)
    0.5
  • d)
    0.01
Correct answer is option 'B'. Can you explain this answer?

Yashina Kapoor answered
One-tenth is represented as 0.1 in decimal form. Understanding decimal representations is essential for working with fractions in mathematics.

What is the result of dividing 5,380 by 10?
  • a)
    53
  • b)
    53.8
  • c)
    5380
  • d)
    538
Correct answer is option 'D'. Can you explain this answer?

Vp Classes answered
Dividing 5,380 by 10 shifts the digits one place to the right, resulting in 538. This operation is fundamental in understanding how division affects place value.

What is the result of multiplying 472 by 1,000?
  • a)
    472,000
  • b)
    47,200
  • c)
    472
  • d)
    4,720
Correct answer is option 'A'. Can you explain this answer?

Multiplying 472 by 1,000 shifts the digits three places to the left, resulting in 472,000. This multiplication highlights how scaling numbers affects their size significantly.

In decomposing the number 40,000 + 5,000 + 0 + 40 + 3, what is the total?
  • a)
    45,043
  • b)
    45,000
  • c)
    50,000
  • d)
    40,000
Correct answer is option 'A'. Can you explain this answer?

The decomposition of 40,000 + 5,000 + 0 + 40 + 3 equals 45,043. This breakdown is useful for understanding the components of large numbers.

What does the decimal number 2.6 represent in terms of place value?
  • a)
    2 ones and 6 tenths
  • b)
    26 ones
  • c)
    2 tenths and 6 hundredths
  • d)
    20 tenths and 6 hundredths
Correct answer is option 'A'. Can you explain this answer?

Yashina Kapoor answered
The decimal number 2.6 consists of 2 in the ones place and 6 in the tenths place, which means it represents 2 ones and 6 tenths. This understanding of place value is crucial for working with decimals effectively.

Which of the following represents counting back in steps of 200?
  • a)
    10, 20, 30
  • b)
    1,000, 800, 600
  • c)
    100, 200, 300
  • d)
    1,000, 900, 800
Correct answer is option 'B'. Can you explain this answer?

Counting back in steps of 200 from 1,000 results in the sequence 1,000, 800, 600, demonstrating how to effectively manage larger intervals in counting.

What is the constant difference in a linear sequence where the first term is 5 and the second term is 12?
  • a)
    5
  • b)
    12
  • c)
    17
  • d)
    7
Correct answer is option 'D'. Can you explain this answer?

Yashina Kapoor answered
The constant difference between the first term (5) and the second term (12) is 7. Recognizing this difference is crucial for defining the rule of the sequence.

What is the correct way to read the decimal number 0.4?
  • a)
    Four
  • b)
    Four tenths
  • c)
    Zero point four
  • d)
    Zero point four tenths
Correct answer is option 'C'. Can you explain this answer?

Indu Gupta answered
The decimal 0.4 is read as "zero point four" to clarify that there is no whole number part, which is a common practice in reading decimals accurately.

Which of the following represents counting on in tenths?
  • a)
    10, 20, 30
  • b)
    1, 2, 3
  • c)
    0, 1, 2
  • d)
    0.1, 0.2, 0.3
Correct answer is option 'D'. Can you explain this answer?

Counting on in tenths progresses through decimal increments, such as 0.1, 0.2, 0.3, allowing for precise measurement and understanding in decimal arithmetic.

When counting on in fives, what is the fifth term starting from 5?
  • a)
    15
  • b)
    20
  • c)
    25
  • d)
    30
Correct answer is option 'C'. Can you explain this answer?

Counting on in fives starting from 5 gives us 5, 10, 15, 20, 25. The fifth term is therefore 25, which illustrates the pattern of adding a constant.

When multiplying a number by 100, how do the digits shift?
  • a)
    Two places to the right
  • b)
    One place to the left
  • c)
    Two places to the left
  • d)
    Three places to the right
Correct answer is option 'C'. Can you explain this answer?

Multiplying a number by 100 moves each digit two places to the left, effectively increasing the value of the number significantly. For example, 45 becomes 4500 when multiplied by 100.

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