CBSE Class 5 Mathematics We the Travellers Worksheet Set 01

True or False

Question. In the Indian place value system, we place commas after digits from the right most side in the pattern: 3,3,2,2,2, ______.
Answer: False
Explanation: In the Indian system, the first comma comes after 3 digits from the right, and then after every 2 digits (3, 2, 2, 2...).

Question. 54, 243 = 5 Ten Thousand + 4 Thousand + 2 Hundred + 4 Tens + 3 Units.
Answer: True
Explanation: Each digit is correctly matched to its place value from ten thousands down to units.

Question. 55,053 is smaller than 55,350
Answer: True
Explanation: Both numbers have 55 thousands, but 0 hundreds is less than 3 hundreds.

Question. Seven thousand seven hundred forty-nine can be represented as 77,49 in Indian place value system.
Answer: False
Explanation: The first comma must be after 3 digits from the right side, so it should be written as 7,749.

Question. The expanded version of 5,304 is 5000 + 300 + 4.
Answer: True
Explanation: The tens place is 0, so adding 5000 + 300 + 4 gives the correct total of 5,304.

Fill in the Blanks

Question. The closest 100 in the number 24,234 is ______.
Answer: 24,200
Explanation: The tens digit is 3, which is smaller than 5, so we round down to 24,200.

Question. There are ______ hundreds within a ten thousand.
Answer: 100
Explanation: When you divide 10,000 by 100, you get 100.

Question. The number formed by swapping digits 7 and 2 in 25,347 is ______.
Answer: 75,342
Explanation: Putting 7 at the front in the ten-thousands place and 2 at the end in the ones place gives 75,342.

Question. 13,499 rounded to the closest thousand is ______.
Answer: 13,000
Explanation: The hundreds digit is 4, which is less than 5, so 13,499 rounds down to 13,000.

Question. Fifty-six thousand six hundred can be expressed as ______ in Indian place value system.
Answer: 56,600
Explanation: Fifty-six thousand is written as 56, and six hundred is written as 600.

Question. Sequence: (10,221) (10,311) (10,401) (______) (______)
Answer: 10,491; 10,581
Explanation: The numbers increase by 90 each time: 10,401 + 90 = 10,491, and 10,491 + 90 = 10,581.

Question. The expanded notation of 35,247 is ______.
Answer: 30,000+5,000+200+40+7
Explanation: Write the value of each digit according to its place: 30,000 + 5,000 + 200 + 40 + 7.

Question. Swapping two digits of 21,456 gives the smallest possible number. The digits to be interchanged are ______ and ______, and the smallest number formed is ______.
Answer: 1, 2, 12,456
Explanation: Exchanging the 2 in the ten-thousands place with the 1 in the thousands place gives the lowest number, 12,456.

Question. The difference between any two-digit number and its opposite is always a multiple of ______.
Answer: 9
Explanation: If you subtract a two-digit number and its reversed digits (such as 41 - 14 = 27), the answer can always be divided by 9.

Match the Following

Question. Write the number name of the following numbers using commas as needed.

Explanation: Read the digits in groups of thousands first, followed by hundreds, tens, and ones.

Match the Following

Question. Fill in the blanks correctly. Use commas as required.

Explanation: Read the thousands group first, followed by the hundreds, tens, and ones places.

Question. Fill in the boxes suitably.

Explanation: Look at the digit to the right of the place value you want to round to; round up if it is 5 or more, and round down if it is less than 5.

Questions / Short Question Answers

Question. Riya was playing with numbers. She took the number 26,053 and exchanged two digits. The new number she made was between 50,000 and 60,000. Which digits might she have swapped? What is the new number?
Answer: Riya swapped the digits 2 and 5, and the new number is 56,023.
Explanation: To be between 50,000 and 60,000, the first digit must be 5. Exchanging 2 and 5 creates 56,023.

Question. A teacher has ₹ 29,582 and wishes to give ₹ 10 to each student. How many students can get ₹ 10?
Answer: 2,958 students
Explanation: 29,582 divided by 10 gives 2,958 with ₹ 2 left over, so 2,958 students get ₹ 10.

Question. A rabbit is at 7,580. Its meal is kept at the nearest 1,000 BURROW. Which burrow is it?
Answer: The burrow is at 8,000.
Explanation: Since 580 is 500 or more, 7,580 rounds up to the closest thousand, which is 8,000.

Question. Arrange the following numbers in ascending order. 23,516; 52,823; 30,512; 30,125; 42,222
Answer: 23,516; 30,125; 30,512; 42,222; 52,823
Explanation: Compare the first digits from smallest to largest, and compare the hundreds place when the ten thousands are equal.

Question. Assertion: A student says that 9,024 is greater than 29,014 because 9 is greater than 2. Reason: To compare two numbers, we start from leftmost to right and compare digits according to their places. Which one is accurate? (a) Both Assertion and Reason are true and Reason is the correct explanation for Assertion. (b) Both Assertion and Reason are true but Reason is not the correct explanation for Assertion. (c) Assertion is true but Reason is false. (d) Assertion is false but Reason is true.
Answer: (d) Assertion is false but Reason is true.
Explanation: A 5-digit number like 29,014 is always bigger than a 4-digit number like 9,024.

Question. A cyclist rides 75 km in one day. If he keeps travelling at the same speed, what approximate total distance will he cover in a week?
Answer: 525 km
Explanation: A week has 7 days, so multiply 75 km by 7: 75 × 7 = 525 km.

Question. A teacher listed four large numbers on the board: 58,093; 57,903; 58,039; and 57,930. Arrange these numbers in ascending order.
Answer: 57,903; 57,930; 58,039; 58,093
Explanation: Start with the smallest number and go up: 57,903 is least, followed by 57,930, then 58,039, and finally 58,093.

Question. At the museum, Tanya saw a statue with the label “Twenty-three thousand seven hundred sixty-four.” What 5-digit number was written on that statue?
Answer: 23,764
Explanation: Twenty-three thousand is 23, and seven hundred sixty-four is 764, giving 23,764.

Question. Write the distances he wrote down on day 4, 5 and 6 to the nearest 1,000 m.
Answer: 10,000 m, 11,000 m and 11,000 m
Explanation: Adding 300 m each day gives 10,250 m, 10,550 m, and 10,850 m. Rounding each gives 10,000 m, 11,000 m, and 11,000 m.

Question. Raj is an athlete who runs different distances each day on a path. He records his daily distances to the nearest 10, 100 or 1,000 metres to analyse his performance. After training a week, he actually runs 1,785 m, 3,428 m, 9,950 m on the first, second and third day, respectively. Write the distances he noted down on the first three days when rounded to the nearest (a) 10 m (b) 100 m (c) 1,000 m
Answer: (a) Nearest 10 m: 1,785 m, 3,430 m and 9,950 m. (b) Nearest 100 m: 1,800 m, 3,400 m and 10,000 m. (c) Nearest 1,000 m: 2,000 m, 3,000 m and 10,000 m.
Explanation: Look at the place value just to the right of what you are rounding to; if it is 5 or more, round up, otherwise round down.