Important Questions Test: Decimals - Grade 6 MCQ

Every fraction with denominator 10 can be written in decimal notation and vice-versa. One block divided into 100 equal parts means each part is 1/100 (one-hundredth) of a unit. It can be written as 0.01 in decimal notation. Every fraction with denominator 100 can be written in decimal notation and vice-versa.

• 200 + 30 + 5 + 2/10 + 9/100 = 200 + 30 + 5 + 0.2 + 0.09


• 200 + 30 + 5 + 0.2 + 0.09 = 235.29

• The given expression as a decimal is 235.29

• 0.29


• 0.36

• Add the two numbers: 0.29 + 0.36 = 0.65

• 0.65

• Step 1: Add the whole number 60 to the fractions 1/10 and 3/100.


• Step 2: Convert the fractions to have the same denominator.


• Step 3: Simplify the fractions and add them to the whole number.

• Step 1: 1/10 + 3/100 = 10/100 + 3/100 = 13/100


• Step 2: Convert the fraction 13/100 to a decimal by dividing 13 by 100: 13 ÷ 100 = 0.13


• Step 3: Add the decimal 0.13 to the whole number 60: 60 + 0.13 = 60.13

Therefore, the decimal representation of 60 + 1/10 + 3/100 is 60.13, which is option B.

• 0.7 + 0.08 = 0.78

• To add decimal numbers, align the decimal points and add as you would with whole numbers.


• Add 0.7 and 0.08:




• 0.70


• + 0.08


• -----------
  
• 0.78




• Therefore, 0.7 + 0.08 = 0.78

• The correct answer is 0.78 (option A)

1 divided by 4 equals 0.25. So 1/4 is equal to 0.25.

30+1/10
30+0.1=30.1

• Rupees: 2


• Paise: 50

• 1 Rupee = 100 paise


• Therefore, 50 paise = 50/100 = 0.50 rupees

• 2 rupees + 0.50 rupees = 2.50 rupees

• Step 1: Understand that 'six-tenths' means 6 parts out of 10 parts.


• Step 2: To convert this fraction to a decimal, divide the numerator (6) by the denominator (10).


• Step 3: 6 ÷ 10 = 0.6


• Step 4: Therefore, the decimal form of 'six-tenths' is 0.6

- Comparison of Decimals: To compare 0.01 and 0.3, align the decimals. 0.01 is equivalent to 0.010.
- Analyze Place Value:
- 0.01 has a '1' in the hundredths place.
- 0.3 has a '3' in the tenths place.
- Conclusion: Since 0.3 (or 0.30) is greater than 0.01, option B is correct.
- Clarification: 0.01 (one hundredth) is less than 0.3 (three tenths).The correct option is B as 0.1 is greater than 0.03.

• Definition: One-hundredth is a fraction that represents one part out of 100 equal parts.


• Decimal Notation: To convert a fraction to a decimal, we divide the numerator by the denominator. In this case, 1 divided by 100 is 0.01.


• Decimal Notation: Therefore, the decimal notation of one-hundredth is 0.01.

Since, 0.023 is greater than 0.02 and less than 0.03. Thus it lies between 0.02 and 0.03.

• First, add 40 and 2 to get 42.


• Then, add 3/10 which is equivalent to 0.3.

• Combine 42 and 0.3 to get the final result.


• Therefore, 40 + 2 + 3/10 = 42.3.

• The decimal form of 40 + 2 + 3/10 is 42.3.

Eleven point two three five 
=11+.235=11.235

• Fractions are numbers that represent a part of a whole, written in the form of a numerator over a denominator.


• Decimals are numbers that represent parts of a whole or parts of a group, written in the form of a decimal point followed by digits.

• To convert a fraction to a decimal with a denominator of 100, you simply divide the numerator by the denominator.


• For example, the fraction 3/100 can be written as 0.03 in decimal notation.

• To convert a decimal to a fraction with a denominator of 100, you write the decimal as the numerator over 100.


• For example, the decimal 0.25 can be written as 25/100 in fractional notation.

• Every fraction with a denominator of 100 can be easily converted to decimal notation by dividing the numerator by 100.


• Similarly, every decimal with two decimal places can be written as a fraction with a denominator of 100.


• Therefore, fractions with a denominator of 100 and decimals are interchangeable and can be easily converted from one form to another.

• Add the whole numbers together: 300 + 20 + 3 = 323


• Convert the fractions to decimals: 4/10 = 0.4, 5/100 = 0.05


• Add the decimal numbers to the whole number sum: 323 + 0.4 + 0.05 = 323.45


• Therefore, the decimal form of 300 + 20 + 3 + 4/10 + 5/100 is 323.45

• Convert the fractions to decimals:




• 7/10 = 0.7




• Add all the numbers together:




• 300 + 5 + 0.7 = 305.7

• Convert the mixed number to a decimal by adding the whole number part to the decimal part.


• Whole number: 70


• Decimal part: 2/10 + 6/100 = 0.2 + 0.06 = 0.26

• Add the whole number and the decimal part together: 70 + 0.26 = 70.26

• Therefore, the decimal form of 70 + 2/10 + 6/100 is 70.26.

• Given numbers: 2.66 and 1.85


• Adding the numbers: 2.66 + 1.85 = 4.51

• C: 4.51

• 1.54 + 1.80 = 3.34

• To find the sum of 1.54 and 1.80, we simply add the two numbers together.


• Adding 1.54 and 1.80 gives us 3.34.


• Therefore, the correct answer is 3.34 (Option C).