Grade 6 Math Unit 1 Knowing Our Numbers

There are 100 centimeters in 1 meter.

The conversion factor between grams and milligrams is 1000. This means that to convert grams to milligrams, we multiply the number of grams by 1000. Therefore, 1 gram is equal to 1000 milligrams.

The correct answer is 1000 because there are 1000 millimeters in 1 meter.

The conversion factor between liters and milliliters is 1000. This means that there are 1000 milliliters in 1 liter.

The correct answer is 100002 because it is the smallest number with 6 digits and 3 different digits. The digits in this number are 1, 0, and 2, which are all different. The other options provided do not meet the criteria of having 3 different digits or being the smallest number with 6 digits.

In the Indian system, 100 thousand is known as "1 lakh".

The correct answer is 10,00,000. This is because 1 kiloliter (kl) is equal to 1,000 liters, and 1 liter is equal to 1,000 milliliters. Therefore, to convert kl to ml, we need to multiply 1,000 (liters) by 1,000 (milliliters), which gives us 1,000,000 milliliters or 10,00,000 ml.

1 km is equal to 100,000 cm. This is because there are 100 centimeters in a meter, and since there are 1000 meters in a kilometer, we can multiply 100 by 1000 to get 100,000 centimeters in 1 kilometer.

Since each bottle can hold 500ml of water, to find out how many bottles can be filled with 10 litres of water, we need to convert litres to millilitres. 1 litre is equal to 1000 millilitres, so 10 litres is equal to 10,000 millilitres. Dividing 10,000 by 500 gives us 20, which means that the water can can be filled in 20 bottles of 500ml each.

The place value of a digit is determined by its position in the number, while the face value represents the actual value of the digit. In the given number, the place value of 2 is 20 (since it is in the tens place), and the face value is 2. Therefore, the difference between the place value and face value of 2 is 20 - 2 = 18.

The teacher bought a total of 53 books (21 + 32) from the shopkeeper. Each book costs Rs. 249. To find the total amount paid, we multiply the number of books by the cost per book: 53 x 249 = 13,197.

The question asks for the sum of the smallest 4-digit number and the greatest 4-digit number. In this case, the smallest 4-digit number is 1000 and the greatest 4-digit number is 9999. Adding these two numbers together gives us a sum of 10,999.

Each frock requires 1m50cm of cloth. To find out how many frocks can be stitched, we need to divide the total cloth available (30m) by the cloth required for each frock (1m50cm).

Converting 1m50cm to meters, we get 1.5m.

Dividing 30m by 1.5m, we find that 20 frocks can be stitched.

Since each frock requires 1.5m of cloth, the remaining cloth can be calculated by subtracting the total cloth used (20 frocks x 1.5m) from the total cloth available (30m).

So, 30m - (20 frocks x 1.5m) = 0m remaining.

The price of each TV set can be found by dividing the total cost of all the TV sets by the number of TV sets. In this case, the total cost of 32 TV sets is Rs. 4,48,000. Dividing this amount by 32 gives us the price of each TV set, which is Rs. 14,000.

The total amount can be found by multiplying the price of one water cooler by the number of coolers purchased. In this case, since the price of one cooler is Rs. 5496 and the school buys 26 coolers, the total amount would be Rs. 5496 multiplied by 26, which equals Rs. 142,896.

The student multiplied 5863 by 35 instead of 53. To find the difference between his answer and the correct answer, we need to subtract his answer from the correct answer. Therefore, the correct answer is 1,05,534.

In the question, it is stated that women in Rajasthan carry 75 pots of water every day. To find out how many pots she would carry in the month of July, we need to multiply the number of pots carried per day (75) by the number of days in July (31). Therefore, the answer is 2,325 pots.

To estimate the difference between 8260 and 4990, we can round both numbers to the nearest hundred. 8260 rounds to 8300 and 4990 rounds to 5000. Subtracting 5000 from 8300 gives us 3300, which is the estimated difference between the two numbers.

The milk dairy produces 6,499 litres of milk in an hour. To find out how much milk can be produced in a day, we need to multiply this amount by the number of hours in a day. There are 24 hours in a day, so we can calculate the total milk production by multiplying 6,499 by 24. This equals 155,976 litres of milk. Therefore, the answer is 1,55,976.

The question asks for the product of the greatest five-digit number and the smallest two-digit number. The greatest five-digit number is 99,999 and the smallest two-digit number is 10. Multiplying these two numbers gives us 999,990. However, the given answer is 9,99,990 which seems to be a typographical error.

The officer walks a total distance of 1km200m both ways every day. Since there are 5 days in a week, the total distance walked in a week would be 5 times the daily distance. Therefore, the officer walks a total distance of 6km in a week.

1 kilogram is equal to 1,000,000 milligrams. Therefore, the correct answer is 10,00,000 (which is the same as 1,000,000).

1 kilometer is equal to 100,000 centimeters. Therefore, the correct answer is 10,00,000 centimeters.

The question asks for the sum of the greatest and the least number that can be written using the digits 5, 3, 9, 0, 1 each only once. To find the greatest number, we arrange the digits in descending order, which gives us 9, 5, 3, 1, 0. Therefore, the greatest number is 95,310. To find the least number, we arrange the digits in ascending order, which gives us 0, 1, 3, 5, 9. Therefore, the least number is 1,359. Adding the greatest and the least number, we get 95,310 + 1,359 = 96,669.

To find the total cost of 46 chairs and 25 tables, we need to calculate the cost of chairs and tables separately and then add them together. The cost of 46 chairs can be calculated by multiplying the cost of one chair (1,084) by the number of chairs (46), which equals 49,864. Similarly, the cost of 25 tables can be calculated by multiplying the cost of one table (4,999) by the number of tables (25), which equals 1,24,975. Adding these two costs together gives us a total cost of 1,74,839.