Test: A Peek Beyond the Point - Class 7 MCQ

The decimal point is crucial because it clearly separates the whole number part from the fractional part of a number. For instance, in 23.4, the 23 represents whole units while the .4 signifies four tenths, preventing any confusion regarding the value of the number.

The decimal representation for four and one-tenth is:

• 4.1 - This is a correct representation.
• 4.10 - This is also correct, as it is equivalent to 4.1.
• 4.01 - This is incorrect, as it represents four and one-hundredth.

Thus, the correct options are A and B.

Option A (1.5):
∣1.5−1∣=0.5

Option B (0.9):
∣0.9−1∣=0.1

Option C (1.01):
∣1.01−1∣=0.01

Option D (1.1):
∣1.1−1∣=0.1

Result:
The smallest difference is 0.01 (Option C).

The relationship between centimeters (cm) and millimeters (mm) is straightforward:

1 cm is equal to 10 mm.

The correct way to read 2.35 is "two point three five," which helps clarify the individual digits after the decimal. 

0.5 hours is equivalent to 30 minutes, as 1 hour equals 60 minutes.

0.02 can be expressed as a fraction in the following way:

• 2 hundredths - This means that 0.02 is equal to 2/100.
• It simplifies to 1/50 when reduced.

In summary, 0.02 represents 2 hundredths in fractional terms.

To convert 45/100 to a decimal:

• Calculate 45 ÷ 100 which equals 0.45.
• Add this to 4: 4 + 0.45 = 4.45.

1 rupee = 100 paise.

Therefore, ₹3.75 can be calculated as:

3.75 × 100 = 375 paise.

The decimal representation of one-hundredth is:

• 0.01

Other options include:

• 0.001 (this is one-thousandth)
• 1.0 (this is one whole)
• 0.1 (this is one-tenth)

Therefore, the correct answer is 0.01.

Compare the values:

• 4.005
• 4.05
• 4.5/4.50

This shows that 4.005 is less than both 4.05 and 4.5.

Smallest = 4.005

The general rule when adding or subtracting decimal numbers regarding their whole number parts is as follows:

• The result will always lie between the whole number sum and that sum plus two.
• This means that if you add or subtract decimal numbers, the outcome will not exceed the sum of the whole numbers by more than two.
• For instance, if you have whole numbers 3 and 4, the whole number sum is 7.
• Thus, the result of adding or subtracting the decimals will range between 7 and 9.

Adding zeros after a decimal point does not change the actual value of the number.

For example, 2.5 and 2.500 are considered equal in value.

 To express 3 units and 4 tenths in decimal form, note that “4 tenths” is 0.4. Adding this to 3 gives 3.4. The other choices represent different place values: 3.04 is 4 hundredths, 3.0004 is 4 ten-thousandths, and 3.004 is 4 thousandths.

A ruler marked in tenths and hundredths offers the most precise measurements for small objects. Here’s why:

• Precision: It allows for measurements to be taken in 0.1 cm (tenths) and 0.01 cm (hundredths), providing greater detail.
• Accuracy: The finer markings enable users to measure small lengths accurately, which is crucial for tasks needing high precision.
• Versatility: Suitable for various applications, from crafting to scientific experiments.

In contrast, other rulers with only whole numbers or marked in halves do not provide the same level of detail needed for small measurements.