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By the end of this section, you will be able to:
• Model addition of whole numbers
• Add whole numbers without models
• Translate word phrases to math notation
• Add whole numbers in applications

Before you get started, take this readiness quiz.

1. What is the number modeled by the $\text{base-10}$ blocks?

If you missed this problem, review Introduction to Whole Numbers .
2. Write the number three hundred forty-two thousand six using digits?
If you missed this problem, review Introduction to Whole Numbers .

A college student has a part-time job. Last week he worked $3$ hours on Monday and $4$ hours on Friday. To find the total number of hours he worked last week, he added $3$ and $4.$

The operation of addition combines numbers to get a sum    . The notation we use to find the sum of $3$ and $4$ is:

$3+4$

We read this as three plus four and the result is the sum of three and four. The numbers $3$ and $4$ are called the addends. A math statement that includes numbers and operations is called an expression.

To describe addition, we can use symbols and words.

Operation Notation Expression Read as Result
Addition $+$ $3+4$ three plus four the sum of $3$ and $4$

Translate from math notation to words:

1. $7+1$
2. $12+14$

## Solution

• The expression consists of a plus symbol connecting the addends $7$ and $1.$ We read this as seven plus one or the sum of seven and one .
• The expression consists of a plus symbol connecting the addends $12$ and $14.$ We read this as twelve plus fourteen , or the sum of twelve and fourteen .

Translate from math notation to words:

1. $8+4$
2. $18+11$
• eight plus four; the sum of eight and four
• eighteen plus eleven; the sum of eighteen and eleven

Translate from math notation to words:

1. $21+16$
2. $100+200$
1. twenty-one plus sixteen; the sum of twenty-one and sixteen
2. one hundred plus two hundred; the sum of one hundred and two hundred

## Model addition of whole numbers

Addition is really just counting. We will model addition with $\text{base-10}$ blocks. Remember, a block represents $1$ and a rod represents $10.$ Let’s start by modeling the addition expression we just considered, $3+4.$

Each addend is less than $10,$ so we can use ones blocks.

 We start by modeling the first number with 3 blocks. Then we model the second number with 4 blocks. Count the total number of blocks.

There are $7$ blocks in all. We use an equal sign $\text{(=)}$ to show the sum. A math sentence that shows that two expressions are equal is called an equation. We have shown that. $3+4=7.$

Model the addition $2+6.$

## Solution

$2+6$ means the sum of $2$ and $6$

Each addend is less than 10, so we can use ones blocks.

 Model the first number with 2 blocks. Model the second number with 6 blocks. Count the total number of blocks There are $8$ blocks in all, so $2+6=8.$

Model: $3+6.$

Model: $5+1.$

When the result is $10$ or more ones blocks, we will exchange the $10$ blocks for one rod.

Model the addition $5+8.$

## Solution

$5+8$ means the sum of $5$ and $8.$

 Each addend is less than 10, se we can use ones blocks. Model the first number with 5 blocks. Model the second number with 8 blocks. Count the result. There are more than 10 blocks so we exchange 10 ones blocks for 1 tens rod. Now we have 1 ten and 3 ones, which is 13. 5 + 8 = 13

Notice that we can describe the models as ones blocks and tens rods, or we can simply say ones and tens . From now on, we will use the shorter version but keep in mind that they mean the same thing.

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research.net
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Introduction about quantum dots in nanotechnology
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absolutely yes
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or in general
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in general
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Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
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what is biological synthesis of nanoparticles
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Good
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
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Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
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