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Important Questions Test: Decimals - Grade 6 MCQ


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20 Questions MCQ Test - Important Questions Test: Decimals

Important Questions Test: Decimals for Grade 6 2024 is part of Grade 6 preparation. The Important Questions Test: Decimals questions and answers have been prepared according to the Grade 6 exam syllabus.The Important Questions Test: Decimals MCQs are made for Grade 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Questions Test: Decimals below.
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Important Questions Test: Decimals - Question 1

Every ________ with denominator 10 can be written in decimal notation and vice-versa.

Detailed Solution for Important Questions Test: Decimals - Question 1

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.

Important Questions Test: Decimals - Question 2

Write as a decimal: 200 + 30 + 5 + 2/10 + 9/100

Detailed Solution for Important Questions Test: Decimals - Question 2
Calculation:

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

  • 200 + 30 + 5 + 0.2 + 0.09 = 235.29


Final Answer:

  • The given expression as a decimal is 235.29

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Important Questions Test: Decimals - Question 3

Find: 0.29 + 0.36

Detailed Solution for Important Questions Test: Decimals - Question 3
Given numbers:

  • 0.29

  • 0.36


Calculation:

  • Add the two numbers: 0.29 + 0.36 = 0.65


Answer:

  • 0.65


Therefore, the correct answer is 0.65.
Important Questions Test: Decimals - Question 4

Write as a decimal: 60 + 1/10+3/100

Detailed Solution for Important Questions Test: Decimals - Question 4
Decimal Representation of 60 + 1/10 + 3/100

  • 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.


Detailed Solution

  • 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.

Important Questions Test: Decimals - Question 5

Find: 0.7 + 0.08

Detailed Solution for Important Questions Test: Decimals - Question 5
Calculation:

  • 0.7 + 0.08 = 0.78


Detailed Explanation:

  • 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


Conclusion:

  • The correct answer is 0.78 (option A)

Important Questions Test: Decimals - Question 6

Decimal notation of 1/4 is _______.

Detailed Solution for Important Questions Test: Decimals - Question 6


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

Important Questions Test: Decimals - Question 7

Write as decimal ‘Thirty and one-tenth’.

Detailed Solution for Important Questions Test: Decimals - Question 7

30+1/10
30+0.1=30.1

Important Questions Test: Decimals - Question 8

Write 2 rupees and 50 paise as decimal.

Detailed Solution for Important Questions Test: Decimals - Question 8
Breaking down 2 rupees and 50 paise into decimal form:

  • Rupees: 2

  • Paise: 50


Converting paise to decimal:

  • 1 Rupee = 100 paise

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


Combining rupees and decimal form of paise:

  • 2 rupees + 0.50 rupees = 2.50 rupees


Therefore, 2 rupees and 50 paise is correctly represented as Rs 2.50 in decimal form. The correct answer is D.
Important Questions Test: Decimals - Question 9

Decimal form of ‘six-tenths’ is _________.

Detailed Solution for Important Questions Test: Decimals - Question 9
Decimal form of 'six-tenths' is 0.6

  • 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

Important Questions Test: Decimals - Question 10

0.01 _____ 0.3

Detailed Solution for Important Questions Test: Decimals - Question 10

- 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.

Important Questions Test: Decimals - Question 11

Decimal notation of one-hundredth is ________.

Detailed Solution for Important Questions Test: Decimals - Question 11
Decimal Notation of One-Hundredth

  • 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.

Important Questions Test: Decimals - Question 12

0.023 lies between

Detailed Solution for Important Questions Test: Decimals - Question 12

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

Important Questions Test: Decimals - Question 13

Write as decimals: 40 + 2 + 3/10

Detailed Solution for Important Questions Test: Decimals - Question 13
Decomposing the expression:

  • First, add 40 and 2 to get 42.

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


Combining the results:

  • Combine 42 and 0.3 to get the final result.

  • Therefore, 40 + 2 + 3/10 = 42.3.


Final Answer:

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

Important Questions Test: Decimals - Question 14

Decimal form of ‘Eleven point two three five’ is ______.

Detailed Solution for Important Questions Test: Decimals - Question 14

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

Important Questions Test: Decimals - Question 15

Every ________ with denominator 100 can be written in decimal notation and vice-versa

Detailed Solution for Important Questions Test: Decimals - Question 15
Understanding Fractions and Decimals

  • 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.


Converting Fractions to Decimals

  • 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.


Converting Decimals to Fractions

  • 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.


Conclusion

  • 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.

Important Questions Test: Decimals - Question 16

Write as a decimal: 300 + 20 + 3 + 4/10+5/100

Detailed Solution for Important Questions Test: Decimals - Question 16
Detailed

  • 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

Important Questions Test: Decimals - Question 17

Write as decimals: 300 + 5 + 7/10

Detailed Solution for Important Questions Test: Decimals - Question 17
Explanation:

  • Convert the fractions to decimals:


    • 7/10 = 0.7


  • Add all the numbers together:


    • 300 + 5 + 0.7 = 305.7



Therefore, the correct answer is 305.7.
Important Questions Test: Decimals - Question 18

Write as a decimal: 70 + 2/10+6/100

Detailed Solution for Important Questions Test: Decimals - Question 18
Conversion to Decimal:

  • 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


Final Decimal:

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


Conclusion:

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

Important Questions Test: Decimals - Question 19

Find: 2.66 + 1.85

Detailed Solution for Important Questions Test: Decimals - Question 19
Calculation:

  • Given numbers: 2.66 and 1.85

  • Adding the numbers: 2.66 + 1.85 = 4.51


Answer:

  • C: 4.51

Important Questions Test: Decimals - Question 20

Find: 1.54 + 1.80

Detailed Solution for Important Questions Test: Decimals - Question 20


Calculation:

  • 1.54 + 1.80 = 3.34


Detailed Explanation:

  • 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).



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