Test: Decimals - Class 5 MCQ

In the decimal number 231.753, the digit 7 is in the tenths place, which means its value is 7/10 or 0.7. Understanding place values helps in grasping how decimals represent fractions of a whole.

The statement that 0.8 is equal to 0.80 is correct because adding zeros after the decimal does not change its value. Understanding equivalent decimals is essential for comparing and calculating decimal numbers accurately.

To find the sum, convert 0.3 to 0.30 and align the decimal points:

\[
\begin{align*}
4.68
+ 0.76
+ 0.30
\hline
5.74
\end{align*}
\]
This demonstrates how to perform addition with decimals effectively.

When multiplying by 100, the decimal point shifts to the right by 2 places. For example, 1.23 × 100 = 123. This rule simplifies multiplication of decimals significantly.

Unlike decimals have different numbers of digits after the decimal point, making it necessary to adjust them by adding zeros to one or more of the decimals to facilitate comparison or calculation.

The first step is to identify the decimal number with the most digits after the decimal point. This sets the standard for adjusting the other decimals to match the same number of decimal places for accurate comparison or calculation.

Like decimals are defined as decimals that have the same number of digits after the decimal point, such as 0.21 and 1.31. Understanding this concept is crucial for accurate calculations and comparisons.

The expanded form of 135.024 is 100 (1 hundred) + 30 (3 tens) + 5 (5 ones) + 0.02 (2 hundredths) + 0.004 (4 thousandths). This helps illustrate how each digit contributes to the overall value of the number.

To add decimal numbers accurately, you must align the decimal points vertically. This ensures that each place value corresponds correctly, allowing for straightforward addition of whole numbers and decimal parts.

A decimal fraction is specifically defined as a fraction where the denominator is 10, 100, or 1,000. This allows it to be easily expressed using a decimal point, such as converting 1/10 to 0.1.

To convert 9/20 to a decimal fraction, you multiply both the numerator and the denominator by 5 to get 45/100, which equals 0.45. This method is useful for transforming fractions into decimals for easier calculations.

If a decimal number has 2 decimal places, the denominator when converting it to a fraction is 100. This is because each place after the decimal point represents a power of ten, thus 0.95 becomes 95/100.

To convert 34/1000 to a decimal, you recognize that there are three zeros in the denominator, so you write 34 with the decimal point placed three places from the right, resulting in 0.034.

To multiply 0.17 by 0.9, first ignore the decimal points and multiply 17 by 9, which gives 153. Since there are a total of 3 decimal places (2 from 0.17 and 1 from 0.9), the decimal is placed 3 places from the right, resulting in 0.153.

The correct procedure is to align the decimal points and compare digit by digit. This ensures accuracy in determining which decimal is greater, as in this case, 0.620 <>

The decimal 5.250 can be expressed as 525/100, since there are two decimal places. In simple terms, this means you can also represent it as 5.25, which is equivalent.

In 231.753, the digit 3 is in the tens place, which means its value is 30. Understanding the position of each digit is essential for grasping place value in decimals.

To convert 0.95 to a fraction, you write 95 as the numerator and 100 (since there are two decimal places) as the denominator, resulting in 95/100. This is a straightforward method to convert decimals to fractions.

To find the total spent, you add the three amounts:

\[
2,461.25 + 585.25 + 636.50 = 3,683.00
\]
This illustrates the process of adding decimal amounts in practical finance scenarios.

The first step is to ignore the decimal point and multiply as whole numbers. Once you calculate the product, you will need to place the decimal point back in based on the total decimal places in the original numbers.