Olympiad Test: Decimals - Grade 6 MCQ

• Nine point six: The decimal number 9.6 is read as "nine point six" because the decimal point is read as "point" when reading a decimal number aloud.


• Understanding the Decimal Point: The decimal point in a number separates the whole number part from the decimal part. In this case, the whole number part is 9 and the decimal part is 6.


• Decimal Places: The number 9.6 has one decimal place. The digit to the right of the decimal point represents tenths, so the number can also be read as "nine point six tenths."


• Mathematical Representation: In mathematical terms, 9.6 can be represented as 9 + 6/10, which is equal to 9.6.

• Step 1: To convert a fraction to a decimal, divide the numerator by the denominator.


• Step 2: In this case, divide 4 by 10.


• Step 3: 4 ÷ 10 = 0.4

Therefore, the decimal form of 4/10 is 0.4.

3/10 is written as 0.3
12 + 0.3 = 12.3 

46.3 = 46 +.3= 46 + 3/10 = 463/10 = 46 3/10

• Convert fractions to decimals:


• 8/10 = 0.8
• 7/1000 = 0.007
• Add the decimals:


• 0.8 + 0.007 = 0.807
• Therefore, the sum of 8/10 + 0 + 7/1000 is 0.807.

Simplest form of 4/20  is  1/5
= 1/5 = 0.2

In the number 4.375, the place value of 3 is three-tenths or 0.3.

Here, 3 is in the tenths place, which means its value is 3×1/10=0.3

To determine the decimal fraction represented by the shaded part of the figure:

1. Count the total number of sections in the figure.
2. Count the number of shaded sections.
3. Divide the number of shaded sections by the total number of sections to find the decimal fraction.

In the provided figure:

• Total sections: 10
• Shaded sections: 4

The calculation is as follows:

4 shaded sections ÷ 10 total sections = 0.4

Thus, the decimal fraction represented by the shaded parts is 0.4.

• Given: 7.8 = 7 + 8/?


• To find: Which number should replace the ? to make it true?


• To solve this equation, we need to find the value of ? that makes the equation true.


• We can rewrite the equation as 7.8 = 7 + 8/?


• Subtracting 7 from both sides, we get 0.8 = 8/?


• Multiplying both sides by ? to isolate the variable, we get 0.8? = 8


• Dividing by 0.8 on both sides, we get ? = 8/0.8 = 10


• Therefore, the number that should replace the ? to make the equation true is 10.

• Figure A: The shaded part represents 0.3 because there are 3 shaded parts out of a total of 10 parts which is equivalent to 0.3.


• Figure B: The shaded part represents 0.2 because there are 2 shaded parts out of a total of 10 parts which is equivalent to 0.2.


• Figure C: The shaded part represents 0.4 because there are 4 shaded parts out of a total of 10 parts which is equivalent to 0.4.


• Figure D: The shaded part represents 0.5 because there are 5 shaded parts out of a total of 10 parts which is equivalent to 0.5.

The equivalent decimal of 0.08 is 0.080.

⇒ 0.7>0.08

• Conversion of fraction to decimal: To convert a fraction to a decimal, divide the numerator by the denominator.


• 1/2 = 1 ÷ 2 = 0.5


• Comparison with given options: Compare the decimal value of 1/2 with the given options.


• Options:
  
  
  
  • A: 0.34
  
  
  • B: 0.50
  
  
  • C: 0.75
  
  
  • D: 3.4
  
  
  
  


• Correct Answer: Option B: 0.50 is the decimal number equivalent to 1/2.

150 cm = 150/100 = 1.5m

Fractions are to the right of ones place in the place value chart.

The place value of a digit increases by 10 times as it moves from right to left in a place value chart.

2.0781.080.870.780.72| Hence, 2.078 is the required largest decimal.

78.059 = 7×10+8×1+0× 1/10 + 5 x 1/100 + 9 x 1/1000

• Step 1: Add 0.3, 0.03, and 0.003 together:




• 0.3 + 0.03 + 0.003 = 0.333




• Step 2: Therefore, the sum of 0.3, 0.03, and 0.003 is 0.333.