Connect with knowledgeable individuals and find the best answers at IDNLearn.com. Find in-depth and accurate answers to all your questions from our knowledgeable and dedicated community members.
Sagot :
Certainly! Let's go through the steps in estimating the sum of the given numbers and identify which estimate is the closest.
### Step 1: List the given numbers
We have the following numbers:
[tex]\[ 28.71, 29.1, 32.45, 31, 30.9 \][/tex]
### Step 2: Find the exact sum
Let's add these numbers together:
[tex]\[ 28.71 + 29.1 + 32.45 + 31 + 30.9 \][/tex]
By summing these values, we get:
[tex]\[ 28.71 + 29.1 = 57.81 \][/tex]
[tex]\[ 57.81 + 32.45 = 90.26 \][/tex]
[tex]\[ 90.26 + 31 = 121.26 \][/tex]
[tex]\[ 121.26 + 30.9 = 152.16 \][/tex]
Thus, the total sum of these numbers is:
[tex]\[ 152.16 \][/tex]
### Step 3: Determine the closest estimate
Now, we have to compare the sum [tex]\(152.16\)[/tex] with the given estimates:
- 150
- 180
- 130
- 120
Calculate the absolute differences from each estimate:
- Difference with 150 is [tex]\( |152.16 - 150| = 2.16 \)[/tex]
- Difference with 180 is [tex]\( |152.16 - 180| = 27.84 \)[/tex]
- Difference with 130 is [tex]\( |152.16 - 130| = 22.16 \)[/tex]
- Difference with 120 is [tex]\( |152.16 - 120| = 32.16 \)[/tex]
### Step 4: Identify the closest estimate
From the differences calculated:
- [tex]\( 2.16 \)[/tex] with 150
- [tex]\( 27.84 \)[/tex] with 180
- [tex]\( 22.16 \)[/tex] with 130
- [tex]\( 32.16 \)[/tex] with 120
The smallest difference is [tex]\( 2.16 \)[/tex], which corresponds to the estimate of [tex]\( 150 \)[/tex].
### Conclusion
The sum of the given numbers is [tex]\( 152.16 \)[/tex] and the closest estimate to this sum is [tex]\( 150 \)[/tex].
### Step 1: List the given numbers
We have the following numbers:
[tex]\[ 28.71, 29.1, 32.45, 31, 30.9 \][/tex]
### Step 2: Find the exact sum
Let's add these numbers together:
[tex]\[ 28.71 + 29.1 + 32.45 + 31 + 30.9 \][/tex]
By summing these values, we get:
[tex]\[ 28.71 + 29.1 = 57.81 \][/tex]
[tex]\[ 57.81 + 32.45 = 90.26 \][/tex]
[tex]\[ 90.26 + 31 = 121.26 \][/tex]
[tex]\[ 121.26 + 30.9 = 152.16 \][/tex]
Thus, the total sum of these numbers is:
[tex]\[ 152.16 \][/tex]
### Step 3: Determine the closest estimate
Now, we have to compare the sum [tex]\(152.16\)[/tex] with the given estimates:
- 150
- 180
- 130
- 120
Calculate the absolute differences from each estimate:
- Difference with 150 is [tex]\( |152.16 - 150| = 2.16 \)[/tex]
- Difference with 180 is [tex]\( |152.16 - 180| = 27.84 \)[/tex]
- Difference with 130 is [tex]\( |152.16 - 130| = 22.16 \)[/tex]
- Difference with 120 is [tex]\( |152.16 - 120| = 32.16 \)[/tex]
### Step 4: Identify the closest estimate
From the differences calculated:
- [tex]\( 2.16 \)[/tex] with 150
- [tex]\( 27.84 \)[/tex] with 180
- [tex]\( 22.16 \)[/tex] with 130
- [tex]\( 32.16 \)[/tex] with 120
The smallest difference is [tex]\( 2.16 \)[/tex], which corresponds to the estimate of [tex]\( 150 \)[/tex].
### Conclusion
The sum of the given numbers is [tex]\( 152.16 \)[/tex] and the closest estimate to this sum is [tex]\( 150 \)[/tex].
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.