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The smallest 4-digit number is 1000. The largest 3-digit number is 999. The difference is 1000 - 999 = 1.
This uses the distributive property: 25 x (10 + A) = (25 x 10) + (25 x A). Since 12 = 10 + A, A must be 2.
Eggs sold daily = 12 dozens = 12 * 12 = 144 eggs. Daily revenue = 144 eggs * Rs. 6/egg = Rs. 864. Revenue in 5 days = Rs. 864 * 5 = Rs. 4320.
Starting at 5 on the number line, moving 8 steps to the left results in -3. This answer is not a whole number, highlighting a property.
For whole numbers, subtraction is not closed because 10 - 12 = -2, which is not a whole number.
Starting at 7, moving 5 steps right means 7 + 5 = 12. Then, moving 3 steps left means 12 - 3 = 9. So, you reach 9.
Total plants initially = 20 rows * 30 plants/row = 600 plants. Plants that grew = 600 - 50 = 550 plants.
Total tickets sold = 250 (adult) + 120 (child) = 370 tickets. Empty seats = Total capacity - Total tickets sold = 450 - 370 = 80 seats.
The largest 4-digit number is 9999. Whole numbers include all positive integers and zero.
The smallest 5-digit number is 10000. Its predecessor is 10000 - 1 = 9999. This is a 4-digit number.
If a x b = 1 and a = 1, then 1 x b = 1, which implies b must be 1. This uses the property of multiplicative identity.
The distributive property states a x (b + c) = (a x b) + (a x c). By comparing the given expression, P must be 5.
The property shown, (a + b) + c = a + (b + c), is the associative property of addition, which states that the grouping of addends does not change the sum.
For p = 0, p - 1 = -1, which is not a whole number. So, 0 has no predecessor in whole numbers.
135 x 99 + 135 = 135 x 99 + 135 x 1 = 135 x (99 + 1) = 135 x 100 = 13500. This demonstrates the distributive property.
Whole numbers include 0 and all positive integers (0, 1, 2, 3, ...). -5 is a negative integer and therefore not a whole number.
The property shown, (a x b) x c = a x (b x c), is the associative property of multiplication, stating that the grouping of factors does not change the product.
Total rice sold = 45 kg (Monday) + 60 kg (Tuesday) = 105 kg. Rice left = Initial rice - Total sold = 150 kg - 105 kg = 45 kg.
Number of days = Total pages / Pages per day = 300 pages / 30 pages/day = 10 days.
The property a + b = b + a is the commutative property of addition, which states that the order of addends does not affect the sum.
Total plants initially = 25 rows * 18 plants/row = 450 plants. Healthy plants left = 450 - 50 = 400 plants.
Total players = 15 teams * 12 players/team = 180 players. Total participants = 180 players + 30 volunteers = 210 people.
The successor of 999 (a 3-digit number) is 1000, which is a 4-digit number. Therefore, statement A is incorrect.
Initial passengers = 50. After first stop = 50 - 15 + 8 = 43. After second stop = 43 - 10 + 12 = 45.
Zero is the additive identity because when added to any whole number, the number remains unchanged.
Cost price = 120 * 5 = Rs. 600. Revenue from 100 apples = 100 * 7 = Rs. 700. Remaining apples = 120 - 100 = 20. Revenue from remaining apples = 20 * 4 = Rs. 80. Total revenue = 700 + 80 = Rs. 780. Profit = 780 - 600 = Rs. 180.
(Correction in calculation, previous was wrong) Let's re-evaluate the calculation: Cost price = 120 apples * Rs 5/apple = Rs 600. Selling price for 100 apples = 100 apples * Rs 7/apple = Rs 700. Remaining apples = 120 - 100 = 20 apples. Selling price for 20 apples = 20 apples * Rs 4/apple = Rs 80. Total selling price = Rs 700 + Rs 80 = Rs 780. Profit = Total Selling Price - Total Cost Price = Rs 780 - Rs 600 = Rs 180. The options are A: Profit of Rs. 100, B: Loss of Rs. 20, C: Profit of Rs. 120, D: Profit of Rs. 180. So, D is the correct option. I will update the explanation. Explanation:Cost price = 120 * 5 = Rs. 600. Revenue from 100 apples = 100 * 7 = Rs. 700. Remaining apples = 120 - 100 = 20. Revenue from remaining apples = 20 * 4 = Rs. 80. Total revenue = 700 + 80 = Rs. 780. Profit = 780 - 600 = Rs. 180.
The largest 2-digit number is 99, its successor is 100. The smallest 3-digit number is 100, its predecessor is 99. Their sum is 100 + 99 = 199.
Distance covered = Speed x Time = 80 km/hour * 15 hours = 1200 km.
The closure property states that performing an operation on any two numbers from a set results in a number that is also in that set. Option D correctly describes this for addition of whole numbers.
One is the multiplicative identity because when any whole number is multiplied by 1, the number remains unchanged.
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