Answer :
Sure! Let's go through the steps to solve the problem:
### Part a:
In this part, we need to make sure the expressions on both sides of each equation are equal by finding the missing numbers.
1. Equation 1:
[tex]\( 2600 + 3700 = 1800 + 4500 \)[/tex]
- When you add [tex]\(2600\)[/tex] and [tex]\(3700\)[/tex], you get [tex]\(6300\)[/tex].
- On the right side, [tex]\(1800 + 4500\)[/tex] also equals [tex]\(6300\)[/tex].
- So, both sides are equal, confirming the equation is correct.
2. Equation 2:
[tex]\( 2600 + 3700 + 560 = 1800 + 4500 + \_\_ \)[/tex]
- First, add [tex]\(2600\)[/tex], [tex]\(3700\)[/tex], and [tex]\(560\)[/tex] to get the left side total: [tex]\(6860\)[/tex].
- The right side already contains [tex]\(1800 + 4500 = 6300\)[/tex].
- To balance both sides, the missing part on the right has to make the total [tex]\(6860\)[/tex]:
- Missing part = [tex]\(6860 - 6300 = 560\)[/tex].
3. Equation 3:
[tex]\( 6300 + \square = 6300 + 1 + 1900 \)[/tex]
- The right side totals [tex]\(6300 + 1 + 1900 = 8201\)[/tex].
- To make both sides equal, the left side should also equal [tex]\(8201\)[/tex]:
- So, [tex]\( 6300 + \square = 8201 \)[/tex].
- [tex]\(\square = 8201 - 6300 = 1901\)[/tex].
### Part b:
Check whether the expression results are equal on both sides of the equation.
1. Equation:
[tex]\( 789 - 548 = 1458 - 1217 \)[/tex]
- On the left side, calculate [tex]\(789 - 548\)[/tex]: this equals [tex]\(241\)[/tex].
- On the right side, [tex]\(1458 - 1217\)[/tex] also equals [tex]\(241\)[/tex].
- Since both results are equal, the equation is correct.
These calculated results show that both solutions maintain equality, verifying the equations are correctly balanced.
### Part a:
In this part, we need to make sure the expressions on both sides of each equation are equal by finding the missing numbers.
1. Equation 1:
[tex]\( 2600 + 3700 = 1800 + 4500 \)[/tex]
- When you add [tex]\(2600\)[/tex] and [tex]\(3700\)[/tex], you get [tex]\(6300\)[/tex].
- On the right side, [tex]\(1800 + 4500\)[/tex] also equals [tex]\(6300\)[/tex].
- So, both sides are equal, confirming the equation is correct.
2. Equation 2:
[tex]\( 2600 + 3700 + 560 = 1800 + 4500 + \_\_ \)[/tex]
- First, add [tex]\(2600\)[/tex], [tex]\(3700\)[/tex], and [tex]\(560\)[/tex] to get the left side total: [tex]\(6860\)[/tex].
- The right side already contains [tex]\(1800 + 4500 = 6300\)[/tex].
- To balance both sides, the missing part on the right has to make the total [tex]\(6860\)[/tex]:
- Missing part = [tex]\(6860 - 6300 = 560\)[/tex].
3. Equation 3:
[tex]\( 6300 + \square = 6300 + 1 + 1900 \)[/tex]
- The right side totals [tex]\(6300 + 1 + 1900 = 8201\)[/tex].
- To make both sides equal, the left side should also equal [tex]\(8201\)[/tex]:
- So, [tex]\( 6300 + \square = 8201 \)[/tex].
- [tex]\(\square = 8201 - 6300 = 1901\)[/tex].
### Part b:
Check whether the expression results are equal on both sides of the equation.
1. Equation:
[tex]\( 789 - 548 = 1458 - 1217 \)[/tex]
- On the left side, calculate [tex]\(789 - 548\)[/tex]: this equals [tex]\(241\)[/tex].
- On the right side, [tex]\(1458 - 1217\)[/tex] also equals [tex]\(241\)[/tex].
- Since both results are equal, the equation is correct.
These calculated results show that both solutions maintain equality, verifying the equations are correctly balanced.
