This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Welcome back Gyano — missed you this week.
Here are the solutions to the problems:
1. Add the following
a) Step 1: Add the given numbers. The sum is .
b) Step 1: Add the given numbers. The sum is .
c) Step 1: Add the given numbers. The sum is .
d) Step 1: Add the given numbers. The sum is .
2. Use properties of addition to determine, if both sides are equal or not. Put '=' or ''
a) Step 1: Compare both sides of the equation. This demonstrates the commutative property of addition. The sides are .
b) Step 1: Compare both sides of the equation. This demonstrates the associative property of addition. The sides are .
c) Step 1: Compare both sides of the equation. This demonstrates the additive identity property. The sides are .
d) Step 1: Compare both sides of the equation. This demonstrates the additive identity property. The sides are .
e) Step 1: Compare both sides of the equation. The sides are .
3. Find the value of the following:
a) 1000 more than 113972 Step 1: Add 1000 to 113972. The value is .
b) 10000 more than 590074 Step 1: Add 10000 to 590074. The value is .
c) 2000 more than 888888 Step 1: Add 2000 to 888888. The value is .
d) 30000 more than 99999 Step 1: Add 30000 to 99999. The value is .
4. Roger wants to buy a car. He has a budget of rupees thirty nine lakhs. There are two options as shown below. Which option is within his budget?
Roger's budget is thirty nine lakhs, which is .
Option A: Step 1: Calculate the total cost for Option A. Step 2: Compare Total Cost A with Roger's budget. Option A is over budget.
Option B: Step 1: Calculate the total cost for Option B. Step 2: Compare Total Cost B with Roger's budget. Option B is exactly within budget.
Roger's budget is . Option A total cost: . Option B total cost: .
Therefore, is within his budget.
5. Nancy booked a two bedroom flat for rupees forty five lakh. There is an increase of rupees two lakh and forty thousand. What is the new price after increase? Is it more than ?
Step 1: Identify the initial price and the increase. Initial price = Increase =
Step 2: Calculate the new price after the increase. The new price after the increase is .
Step 3: Compare the new price with . The new price is not more than .
So, the new price is , and it is .
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Welcome back Gyano — missed you this week. Here are the solutions to the problems: 1.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.