Context: Let us consider the expression again. What happens when we change the order and add and first, and then add this sum to ? Will we get the same sum as before? We see that adding the terms of the expression in any order gives the same sum of . Q. Does adding the terms of an expression in any order give the same value? Take some more expressions and check. Consider expressions with more than 3 terms also.

We will check if changing the order of addition changes the final sum. Step 1 — Rechecking the given expression The expression is . We need to add and first. Then we add this sum to . First, we add the negative numbers. Now, we add this sum to . > This sum is -8. This matches the sum given in the context. Step 2 — Trying a new expression with three terms Let us take the expression . First, we add the terms from left to right. Now, we add to this result. > Next, we change the order of addition. Let us add and first. Now, we add to this result. > The sums are the same. Step 3 — Trying an expression with more than three terms Let us take the expression . First, we add the terms from left to right. Now, we add to this result. Now, we add to this result. > Next, we change the order of addition. Let us group the positive numbers first. Let us group the negative numbers. Now, we add these two sums. > The sums are the same. Answer > Yes, adding the terms of an expression in any order gives the same value.

Arithmetic Expressions | A

Question 3

Context: Let us consider the expression $(-7) + 10 + (-11)$ again. What happens when we change the order and add $-7$ and $-11$ first, and then add this sum to $10$ ? Will we get the same sum as before? We see that adding the terms of the expression $(-7) + 10 + (-11)$ in any order gives the same sum of $-8$ .

Q. Does adding the terms of an expression in any order give the same value? Take some more expressions and check. Consider expressions with more than 3 terms also.

Solution

We will check if changing the order of addition changes the final sum.

Step 1 — Rechecking the given expression

The expression is $(-7) + 10 + (-11)$ . We need to add $-7$ and $-11$ first. Then we add this sum to $10$ . First, we add the negative numbers.

$(-7) + (-11)$

$= -(7 + 11)$

$= -18$

Now, we add this sum to $10$ .

$10 + (-18)$

$= 10 - 18$

$= -(18 - 10)$

$\boxed{-8}$

This sum is -8. This matches the sum given in the context.

Step 2 — Trying a new expression with three terms

Let us take the expression $5 + (-3) + 8$ . First, we add the terms from left to right.

$5 + (-3)$

$= 5 - 3$

$= 2$

Now, we add $8$ to this result.

$2 + 8$

$\boxed{10}$

Next, we change the order of addition. Let us add $5$ and $8$ first.

$5 + 8$

$= 13$

Now, we add $-3$ to this result.

$13 + (-3)$

$= 13 - 3$

$\boxed{10}$

The sums are the same.

Step 3 — Trying an expression with more than three terms

Let us take the expression $2 + (-4) + 6 + (-1)$ . First, we add the terms from left to right.

$2 + (-4)$

$= 2 - 4$

$= -2$

Now, we add $6$ to this result.

$-2 + 6$

$= 4$

Now, we add $-1$ to this result.

$4 + (-1)$

$= 4 - 1$

$\boxed{3}$

Next, we change the order of addition. Let us group the positive numbers first.

$2 + 6$

$= 8$

Let us group the negative numbers.

$(-4) + (-1)$

$= -(4 + 1)$

$= -5$

Now, we add these two sums.

$8 + (-5)$

$= 8 - 5$

$\boxed{3}$

The sums are the same.

Answer

Yes, adding the terms of an expression in any order gives the same value.

Question 3

Answer

More questions in A

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