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

• 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.