Olympiad Test: Decimals And Fractions - 1 - Class 5 MCQ

To find what 5/100 equals:

• Divide the numerator (5) by the denominator (100).
• This results in 0.05.

Therefore, 5/100 equals 0.05.

 To convert the fraction 462/200000 to its decimal form, divide 462 by 200000. 462 ÷ 200000 = 0.00231. Therefore, the correct answer is option a) 0.00231.

In option c, we have 762.3. If we separate this, we'll get 700+60+2+0.3

which spells out, seven hundred sixty two and three tenths

To expand the number 0.546, we break it down based on the place value of each digit:

• 0 is in the units place, so it contributes 0 × 1.
• 5 is in the tenths place, contributing 5 × 0.1.
• 4 is in the hundredths place, contributing 4 × 0.01.
• 6 is in the thousandths place, contributing 6 × 0.001.

The complete expanded form is:

(0 × 1) + (5 × 0.1) + (4 × 0.01) + (6 × 0.001)

The tenths place comes immediately after the decimal point. So in this case the digit in the tenths place is 9

Twenty-five and sixty-nine thousandths can be represented in decimal form. The number consists of two parts: the whole number and the decimal fraction.

Here’s how to break it down:

• 25 is the whole number part.
• 0.069 represents the decimal part, which is sixty-nine thousandths.

When combined, these parts form the decimal 25.069.

Furthermore, adding trailing zeros does not change the value:

• 25.0690 is equal to 25.069.
• 25.06900 is also equal to 25.069.

Therefore, all of the following representations are equivalent:

• 25.069
• 25.0690
• 25.06900

In conclusion, the correct answer is that all these forms represent the same value.

To express the number 32747 using 4 significant figures, we need to round it appropriately.

• The first step is to identify the significant figures in the number.
• In this case, the first four significant figures are 3274 and the next digit is 7.
• Since the last significant figure (4) is followed by a 7, we round up.
• This results in the number being rounded to 3275.
• However, as we are working with 4 significant figures, we adjust to 32750.

The final answer, therefore, is 32750.

To round the number 3754 to the nearest hundred:

• Identify the hundreds place, which is the third digit from the right. In 3754, this is 7.
• Look at the digit immediately to the right, which is 5.
• According to rounding rules:
• If this digit is 5 or more, round up.
• If it is less than 5, round down.
• Since the digit is 5, we round up from 3700 to 3800.

The final result is 3800.

To understand how to express seven hundred five thousand and eighty-nine ten-thousandths numerically, we break it down as follows:

• Seven hundred five thousand is written as 705,000.
• Eighty-nine ten-thousandths means 89 divided by 10,000, which is 0.0089.

Combining these two parts gives us:

• Start with 705,000.
• Add 0.0089 to it.

This results in:

705,000.0089

Thus, the correct representation of seven hundred five thousand and eighty-nine ten-thousandths is 705,000.0089.

The tenths place comes immediately after the decimal point. So in this case the digit in the tenths place is 5