Math

QuestionVerify the equation: [64+(40)]+16=64+[(40)+16][64 + (-40)] + 16 = 64 + [(-40) + 16]. Show both sides equal 36.

Studdy Solution

STEP 1

Assumptions1. We are given an equation to solve [64+(40)]+16=64+[(40)+16][64+(-40)]+16=64+[(-40)+16] . We are using the associative property of addition, which states that the way in which numbers are grouped does not change their sum.

STEP 2

First, we simplify the left-hand side (HS) of the equation. We start by adding64 and -40.
HS=(64+(40))+16HS = (64+(-40))+16

STEP 3

Calculate the sum of64 and -40.
HS=(24)+16HS = (24)+16

STEP 4

Next, add24 and16 to get the final value of the LHS.
HS=40HS =40

STEP 5

Now, we simplify the right-hand side (RHS) of the equation. We start by adding -40 and16.
RHS=64+((40)+16)RHS =64+((-40)+16)

STEP 6

Calculate the sum of -40 and16.
RHS=64+(24)RHS =64+(-24)

STEP 7

Finally, add64 and -24 to get the final value of the RHS.
RHS=40RHS =40

STEP 8

Now that we have the values of both the LHS and the RHS, we can compare them to verify the given equation.
HS=RHSHS = RHS40=4040 =40Since the LHS equals the RHS, the given equation is correct.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord