Solve the following math problems using properties of addition and basic arithmetic.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to your math assignment:

Q1. Fill in the blanks using properties of addition.

a)

Add the numbers.

$$
69,799 + 1 = 70,000
$$
The blank is $\boxed{70,000}$.

b)

Apply the additive identity property, which states that any number added to zero remains the same.
$$ 40,110 + 0 = 40,110 $$ The blank is $\boxed{40,110}$.
- c)
Apply the commutative property of addition, which states that changing the order of addends does not change the sum ( $a+b = b+a$ ).
$$ 58,176 + 29,990 = 29,990 + 58,176 $$ The blank is $\boxed{58,176}$.
- d)
Apply the associative property of addition, which states that changing the grouping of addends does not change the sum ( $a+(b+c) = (a+b)+c$ ).
$$ 67,715 + (12,143 + 29,100) = 29,100 + (67,715 + 12,143) $$ The blank is $\boxed{12,143}$.
Q2. Find the sum of the greatest 3-digit number and smallest 6-digit number.
Identify the greatest 3-digit number.
The greatest 3-digit number is 999.
Identify the smallest 6-digit number.
The smallest 6-digit number is 100,000.
Calculate their sum.
$999 + 100,000 = 100,999$
The sum is $\boxed{100,999}$ .

Q3. Which number is 9,001 more than 35,841?
Add 9,001 to 35,841.
$35,841 + 9,001 = 44,842$
The number is $\boxed{44,842}$ .

Q4. Fill in the blanks:
Fill in the units column.
8 + \text{_} = 1 (implies 8 + \text{_} = 11). So, the missing digit is 3. Carry over 1.
Fill in the tens column.
$3 + 0 + 1$ (carry-over) $= 4$ . This matches the given result.
Fill in the hundreds column.
\text{_} + 7 = 1 (implies \text{_} + 7 = 11). So, the missing digit is 4. Carry over 1.
Fill in the thousands column.
$3 + 2 + 1$ (carry-over) $= 6$ . So, the missing digit in the sum is 6.
Fill in the ten thousands column.
$2 + 1 = 3$ . So, the missing digit in the sum is 3.

The completed addition is:
$\begin{array}{c} 2\,3\,\mathbf{4}\,3\,8 \\ + 1\,2\,7\,0\,\mathbf{3} \\ \hline \mathbf{3}\,\mathbf{6}\,1\,4\,1 \\ \end{array}$
The blanks are $\boxed{4}$ , $\boxed{3}$ , $\boxed{3}$ , $\boxed{6}$ .

Q5. Seema spent ₹ 75,953 on food and clothing and paid ₹ 35,595 as house rent. She saved ₹ 1,85,580. How much she earn during the year?
Calculate Seema's total spending.
Total spending = Money spent on food and clothing + Money paid for house rent
Total spending = ₹ $75,953 + ₹ 35,595 = ₹ 111,548$
Calculate Seema's total earnings.
Total earnings = Total spending + Total savings
Total earnings = ₹ $111,548 + ₹ 1,85,580 = ₹ 297,128$

Seema earned $\boxed{₹ 2,97,128}$ during the year.

Solve the following math problems using properties of addition and basic arithmetic.

Step-by-step solution

Add the numbers.

Apply the additive identity property, which states that any number added to zero remains the same.

Apply the commutative property of addition, which states that changing the order of addends does not change the sum ( $a+b = b+a$ ).

Apply the associative property of addition, which states that changing the grouping of addends does not change the sum ( $a+(b+c) = (a+b)+c$ ).

Identify the greatest 3-digit number.

Identify the smallest 6-digit number.

Calculate their sum.

Add 9,001 to 35,841.

Fill in the units column.

Fill in the tens column.

Fill in the hundreds column.

Fill in the thousands column.

Fill in the ten thousands column.

Calculate Seema's total spending.

Calculate Seema's total earnings.

Still stuck on this one?

More Mathematics Questions

Solve the following math problems using properties of addition and basic arithmetic.

Step-by-step solution

Add the numbers.

Apply the additive identity property, which states that any number added to zero remains the same.

Apply the commutative property of addition, which states that changing the order of addends does not change the sum (a+b=b+aa+b = b+aa+b=b+a).

Apply the associative property of addition, which states that changing the grouping of addends does not change the sum (a+(b+c)=(a+b)+ca+(b+c) = (a+b)+ca+(b+c)=(a+b)+c).

Identify the greatest 3-digit number.

Identify the smallest 6-digit number.

Calculate their sum.

Add 9,001 to 35,841.

Fill in the units column.

Fill in the tens column.

Fill in the hundreds column.

Fill in the thousands column.

Fill in the ten thousands column.

Calculate Seema's total spending.

Calculate Seema's total earnings.

Still stuck on this one?

More Mathematics Questions

Apply the commutative property of addition, which states that changing the order of addends does not change the sum ( $a+b = b+a$ ).

Apply the associative property of addition, which states that changing the grouping of addends does not change the sum ( $a+(b+c) = (a+b)+c$ ).