Olympiad Test: Decimals And Fractions - 2 - Class 5 MCQ

When comparing decimal numbers, we look at the digits from left to right, starting with the tenths place.

• 0.4981 has 4 tenths.
• 0.52 has 5 tenths.
• 0.4891 has 4 tenths.
• 0.6 has 6 tenths.

Since 0.4891 has the smallest tenths place value among the options, it is the smallest decimal number.

Thus, the correct answer is C: 0.4891.

The number 356.812 can be broken down as follows:

• The ones place is 6.
• The tenths place is 8.
• The hundredths place is 1.
• The thousandths place is 2.

Therefore, the hundredths digit in the number 356.812 is 1.

Thus, the correct answer is A: 1.

The number 83.72 can be broken down as follows:

• The ones place is 3.
• The tenths place is 7.
• The hundredths place is 2.

Thus, the digit in the hundredths place is 2.

Therefore, the correct answer is A: 2.

Let's compare the decimal numbers:

• A: 0.0231 – This is smaller than all the others because the first non-zero digit is in the thousandths place.
• B: 0.231 – This is larger than 0.0231 but smaller than the others, with the first non-zero digit in the tenths place.
• C: 0.03 – This is larger than 0.0231 but smaller than 0.231, with the first non-zero digit in the hundredths place.
• D: 0.2 – This is the largest because the first non-zero digit is in the tenths place.

Thus, the largest decimal number is D: 0.2.

Let's compare the decimals:

• 0.091 is the smallest because the tenths place is 0, the hundredths place is 9, and the thousandths place is 1.
• 0.9 is larger than 0.091 but smaller than 0.910 because the tenths place is 9 and there are no digits in the hundredths or thousandths place.
• 0.910 is the largest because it is essentially the same as 0.9, but it is written with additional digits in the hundredths and thousandths places, which makes it appear larger.

So, the correct order from least to greatest is: 0.091, 0.9, 0.910.

Thus, the correct answer is C.

To order these decimals, let's compare them step by step:

1. 3.0459: The smallest value because the whole number part is the same (3) and then it has the smallest fractional part.
2. 3.4059: The second smallest, since 3.4 is smaller than 3.45 and 3.5.
3. 3.45: Larger than 3.4059 because it has a 5 in the hundredths place, which is greater than the 0 in 3.4059.
4. 3.5: The largest because it has a 5 in the tenths place and no digits in the hundredths or thousandths place, which makes it larger than the others.

Thus, the correct order from least to greatest is: 3.0459, 3.4059, 3.45, 3.5.

The correct answer is A.

1. Find the sum of 3.6 and 0.75:
   3.6 + 0.75 = 4.35

2. Divide the sum by 5:
   4.35/5 = 0.87

So, the correct answer is:

Answer: C: 0.87.

In the number 489.6327, the digits after the decimal point are:

• 6 in the tenths place
• 3 in the hundredths place
• 2 in the thousandths place
• 7 in the ten-thousandths place

The smallest digit in this number is 2, which is in the thousandths place.

Answer: C: In the thousandths place.

To order these decimals, we compare them step by step:

1. 7.00102: The smallest value because it has the smallest digits after the decimal point.
2. 7.0102: Next smallest, as the tenths and hundredths place are smaller than the others.
3. 7.012: Slightly larger than 7.0102 because the thousandths digit is higher.
4. 7.102: Larger than 7.012 due to the tenths place being a 1 and the following digits being smaller.
5. 7.102021: The largest, as it has extra digits in the ten-thousandths and hundred-thousandths places.

Thus, the correct order from least to greatest is 7.00102, 7.0102, 7.012, 7.102, 7.102021.

Correct answer: B.

To round the number 2.0847 to two decimal places, you look at the third decimal place to determine whether to round up or down.

Here’s the process:

• The number is 2.0847.
• The second decimal place is 8.
• The third decimal place is 4.

Since the third decimal place (4) is less than 5, you do not round up the second decimal place.

So, 2.0847 rounded to two decimal places is:

2.08

The number 36.2495 has the digit 9 in the thousandths place, which is the third decimal place.

• The tenths place is the first decimal place.
• The hundredths place is the second decimal place.
• The thousandths place is the third decimal place.
• The ten-thousandths place is the fourth decimal place.

Thus, the place value of the digit 9 is 9 thousandths.

Correct answer: C.

The tenths digit in the number 43.765 is 7.

• The tenths place is the first digit to the right of the decimal point.
• In the number 43.765, the digit in the tenths place is 7.

Correct answer: A: 7.

To add 2.372 to 14.04, align the decimal points and add the numbers: 2.372 +14.040 = 16.412.

To add 20.15, 0.083, and 6.9:

20.150 + 0.083 + 6.900 = 27.133

Answer: A: 27.133

To add 3.032, 7.89, and 103.2:

3.032 + 7.890 + 103.200 = 114.122

Answer: B: 114.122

The number 25.639 has the digit 6 in the tenths place, which is the first digit to the right of the decimal point.

• The tenths place represents 1/10.
• The digit 6 is in the tenths place, so its place value is 6 tenths.

Thus, the correct answer is C: 6 tenths.

The largest digit in the number 2,367.981 is 9, which is located in the tenths place.

Here's the breakdown:

• 2 in the thousands place (2,000),
• 3 in the hundreds place (300),
• 6 in the tens place (60),
• 7 in the ones place (7),
• 9 in the tenths place (0.9),
• 8 in the hundredths place (0.08),
• 1 in the thousandths place (0.001).

The 9 in the tenths place is the largest digit when you compare their values.

So the correct answer is C: In the tenths place.

6 tens 11 tenths and 32 hundredths
= 6 x 10 + 11/10  + 32/100 
= 60 + 1.1 + 0.32
= 61.42
5 tens 15 hundredths and 38 thousandths
= 5 x 10 + 15/100 + 38/1000 
= 50 + 0.15 + 0.038
= 50.188
Sum = 61.42 + 50.188 = 111.608

• The number 87.349 has the digit 4 in the hundredths place, which is the second digit after the decimal point.

Let’s break down the other options:

• A: 413.26 – The hundredths place is 6.
• B: 0.5649 – The hundredths place is 6.
• C: 765.407 – The hundredths place is 0.

So, the correct answer is D: 87.349.

When you divide 32.64 by 4, the division gives:

32.64 ÷ 4 = 8.16

In this result, 8.16, the digit 6 is in the hundredths place, which is 0.06.

So, the place value of the digit 6 in the result is 0.06.