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## Texas Go Math Grade 2 Lesson 2.1 Answer Key Different Forms of Numbers

**Explore**

Write the number. Use digits to write how many hundreds, tens, and ones.

**FOR THE TEACHER** • Read the following: Evan has 426 marbles. How many hundreds, tens, and ones are in 426? Continue the activity for 204 and 341.

Answer:

Explanation:

The given numbers are 426, 204, and 341.

Expanded form:

In Mathematics, the value of each digit in the number can be written in the expanded form. The numbers that are represented as the sum of each digit multiplied by its place value is called the expanded form of the numbers.

An expanded form of 426: 400+20+6

Each number has a place value. It determines the value of that digit according to its position in the number. The value of a digit in a number increases as we move from left to right. The digits on the left have lower place values than the digits on the right.

using place value to express the number:

Likewise, we need to write for 204, and 341

The expanded form of 204: 200+0+4

The expanded form of 341: 300+40+1.

**Math Talk**

**Mathematical Processes**

How many hundreds are in 368? Explain.

Answer: 3 hundreds.

Explanation:

Each digit in a number has a specific value depending on where in the number it is located.

The value of each digit in a number is determined by its location in the numeral. The use of a place value chart aids in the recognition of big numbers. From left to right, we read the numbers using a place value chart. In the Indian system, we begin arranging numbers from right to left in groups of three and then in two groups. The place value chart is divided into periods, including ones, thousands, lakhs, and crores.

Hundreds = 10^{2} = 100

Tens = 10^{1} = 10

Ones = 10^{0 = 1
}This can be written in expanded form also: 300+80+6

3 is in the hundreds place

8 is in the tens place

6 is in the ones place.

**Model and Draw**

You can use a quick picture to show a number. You can write a number in different ways.

five hundred thirty-six

___________ hundreds __________ tens ___________ ones

___________ + ____________ + ____________

___________

Answer: 5 hundreds 3 tens 6 ones

Explanation:

From the above-given diagram, we can write the number in different ways.

There are four ways we can represent a number. They are:

1. Standard form

2. Expanded form

3. Word form

4. Place value chart.

1. Standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:536

2. Expanded form: This is a way to write a number as the sum of the value of its digits. This form indicates the place value of each digit in the number.

The expanded form of a number 536: 500+30+6

3. word form: This is a way to write a number in words only, also need to include commas separating the periods. If there are commas in standard form, there must be commas in word form.

The word form of 536: five hundred thirty-six

4. Place value chart: Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The place value chart of 536:

5 is in the hundreds place

3 is in the tens place

6 is in the one’s place.

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

**Share and Show**

**Read the number and draw a quick picture. Then write the number in different ways.**

Question 1.

four hundred seven

___________ hundreds __________ tens ___________ ones

___________ + ____________ + ____________

___________

Answer: 407

4 hundreds 0 tens 7 ones

Explanation:

There are four ways we can represent a number. They are:

1. Standard form

2. Expanded form

3. Word form

4. Place value chart.

1. Standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:407

2. Expanded form: This is a way to write a number as the sum of the value of its digits. This form indicates the place value of each digit in the number.

The expanded form of a number 407: 400+0+7

3. word form: This is a way to write a number in words only, also need to include commas separating the periods. If there are commas in standard form, there must be commas in word form.

The word form of 407: four hundred seven

4. Place value chart: Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The place value chart of 407

4 is in the hundreds place

0 is in the tens place

7 is in the one’s place

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

Question 2.

three hundred twenty-five

___________ hundreds __________ tens ___________ ones

___________ + ____________ + ____________

___________

Answer: 325

3 hundreds 2 tens 5 ones

Explanation:

There are four ways we can represent a number. They are:

1. Standard form

2. Expanded form

3. Word form

4. Place value chart.

1. Standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:325

2. Expanded form: This is a way to write a number as the sum of the value of its digits. This form indicates the place value of each digit in the number.

The expanded form of a number 325: 300+20+5

3. word form: This is a way to write a number in words only, also need to include commas separating the periods. If there are commas in standard form, there must be commas in word form.

The word form of 325: three hundred twenty-five

4. Place value chart: Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The place value chart of 325

3 is in the hundreds place

2 is in the tens place

5 is in the one’s place

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

Question 3.

two hundred fifty-three

___________ hundreds __________ tens ___________ ones

___________ + ____________ + ____________

___________

Answer: 253

2 hundreds 5 tens 3 ones

Explanation:

There are four ways we can represent a number. They are:

1. Standard form

2. Expanded form

3. Word form

4. Place value chart.

1. Standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:253

2. Expanded form: This is a way to write a number as the sum of the value of its digits. This form indicates the place value of each digit in the number.

The expanded form of a number 253: 200+50+3

3. word form: This is a way to write a number in words only, also need to include commas separating the periods. If there are commas in standard form, there must be commas in word form.

The word form of 253: two hundred fifty-three.

4. Place value chart: Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The place value chart of 253

2 is in the hundreds place

5 is in the tens place

3 is in the one’s place

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

**Problem Solving**

**Read the number and draw a quick picture. Then write the number in different ways.**

Question 4.

one hundred seventy-two

___________ hundreds __________ tens ___________ ones

___________ + ____________ + ____________

___________

Answer: 170

1 hundreds 7 tens 0 ones.

Explanation:

There are four ways we can represent a number. They are:

1. Standard form

2. Expanded form

3. Word form

4. Place value chart.

1. Standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:170

2. Expanded form: This is a way to write a number as the sum of the value of its digits. This form indicates the place value of each digit in the number.

The expanded form of a number 170: 100+70+0

3. word form: This is a way to write a number in words only, also need to include commas separating the periods. If there are commas in standard form, there must be commas in word form.

The word form of 170: one hundred seventy

4. Place value chart: Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The place value chart of 170

1 is in the hundreds place

7 is in the tens place

0 is in the one’s place

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

Question 5.

three hundred forty-six

___________ hundreds __________ tens ___________ ones

___________ + ____________ + ____________

___________

Answer: 346

3 hundreds 4 tens 6 ones

Explanation:

There are four ways we can represent a number. They are:

1. Standard form

2. Expanded form

3. Word form

4. Place value chart.

1. Standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:346

2. Expanded form: This is a way to write a number as the sum of the value of its digits. This form indicates the place value of each digit in the number.

The expanded form of a number 346: 300+40+6

3. word form: This is a way to write a number in words only, also need to include commas separating the periods. If there are commas in standard form, there must be commas in word form.

The word form of 346: three hundred forty-six

4. Place value chart: Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The place value chart of 346

3 is in the hundreds place

4 is in the tens place

6 is in the one’s place

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

**Solve.**

Question 6.

**H.O.T. Multi-Step** Ellen used these blocks to show 452. What is wrong? Cross out blocks and draw quick pictures for missing blocks.

Answer:

Explanation:

The above-given diagram in the question was wrong.

The given number 452

– This 452 can be written as 4 hundreds 5 tens 2 ones.

– but in the diagram 3 blocks of a hundred is given which is equivalent to each block having 100 marbles.

– We need to draw 4 blocks of hundreds, 5 blocks of tens, and 2 blocks of one’s.

– Or else we can write in expanded form: 400+50+2

– 4 is in the hundreds place

– 5 is in the tens place.

– 2 is in the one’s place.

Question 7.

**H.O.T.** Think of a 3-digit number with a zero in the ones place. Use words to write that number.

Answer: 100, 110, 120, 130, 140, 150, and so on…

Explanation:

The numbers are broadly classified based on the number of digits. Here, we shall look at the 3-digit numbers, their formation, and the importance of numbers and place values. The digits used to form higher digit numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The place value of a 3-digit number helps in understanding the value of each of the digits. The smallest of 3-digit numbers is 100 and the largest number is 999.

Let us look at some of the below mentioned important points relating to 3-digit numbers. These help in a better understanding of 3-digit numbers.

1. 100 is the smallest 3-digit number and 999 is the greatest 3-digit number.

2. A 3-digit number cannot start with 0.

3. 10 tens make 1 hundred which is the smallest 3-digit number and 10 hundred make a thousand which is the smallest 4-digit number.

4. A 3-digit number can also have two zero’s. The two zero’s should be in the ten’s place and the unit’s place. Some of the examples of 3 digit numbers are 100, 200, 300, 400. The only necessary condition is that the zeroes cannot be in the hundredth place.

5. A 3-digit number can also have one zero. The one zero should be in the unit’s place. Some of the examples of 3 digit numbers are 100, 110, 120, 130, and so on… The only necessary condition is that the zeroes cannot be in the hundredth place.

**Daily Assessment Task**

**Choose the correct answer.**

Question 8.

Reasoning Tony’s card shows 4 hundreds 7 ones. Which of the following has the same value?

(A) 500 + 80 + 1

(B) 407

(C) seven hundred forty

Answer: Option B is correct.

Explanation:

The word form is given that four hundred seven

From the word form, we need to write the number form which is nothing but standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:407

4 hundreds 0 tens 7 ones

Expanded form: 400+0+7

Question 9.

Owen’s number has the digit 5 in the tens place. Which of the following could be his number?

(A) 500

(B) three hundred five

(C) 754

Answer: Option C is correct.

Explanation:

The above-given question, the tens digit is given:

The tens place value is 5

Now check out the options which number is having 5 in the tens place. That one is the right option.

Question 10.

Representations Julia’s cord shows the number 630. Which of the following is another way to write this number?

(A) 600 + 3

(B) six hundred thirty

(C) 60 + 3

Answer: Option B is correct.

Explanation:

The standard form is given.

In the above-given options word form is given:

630 can be written as 6 hundreds 3 tens 0 ones.

The word form can be six hundred thirty.

Question 11.

**TEXAS Test Prep** Gianna writes on the board. Which is another way to write 845?

(A) 800 + 40 + 5

(B) 800 + 4 + 5

(C) 80 + 40 + 5

Answer: Option A is correct.

Explanation: the value of each digit in the number can be written in expanded form. The numbers that are represented as the sum of each digit multiplied by its place value is called the expanded form of the numbers.

The standard form is given

In the above-given options expanded form is given;

The expanded form of 845 is 800+40+5

8 hundreds 4 tens 5 ones.

**TAKE HOME ACTIVITY** • Ask your child to show the number 315 in three different ways.

Answer: 3 hundreds 1 ten 5 ones

Explanation:

There are four ways we can represent a number. They are:

1. Standard form

2. Expanded form

3. Word form

4. Place value chart.

1. Standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:315

2. Expanded form: This is a way to write a number as the sum of the value of its digits. This form indicates the place value of each digit in the number.

The expanded form of a number 315: 300+10+5

3. word form: This is a way to write a number in words only, also need to include commas separating the periods. If there are commas in standard form, there must be commas in word form.

The word form of 315: three hundred fifteen

4. Place value chart: Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The place value chart of 315

3 is in the hundreds place

1 is in the tens place

5 is in the one’s place

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

### Texas Go Math Grade 2 Lesson 2.1 Homework and Practice Answer Key

**Read the number and draw a quick picture. Then write the number in different ways.**

Question 1.

209

___________ hundreds __________ tens ___________ ones

___________ + ____________ + ____________

___________

Answer: 2 hundreds 0 tens 9 ones

Explanation:

There are four ways we can represent a number. They are:

1. Standard form

2. Expanded form

3. Word form

4. Place value chart.

1. Standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:209

2. Expanded form: This is a way to write a number as the sum of the value of its digits. This form indicates the place value of each digit in the number.

The expanded form of a number 209: 200+0+9

3. word form: This is a way to write a number in words only, also need to include commas separating the periods. If there are commas in standard form, there must be commas in word form.

The word form of 209: two hundred nine

4. Place value chart: Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The place value chart of 209

2 is in the hundreds place

0 is in the tens place

9 is in the one’s place

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

Question 2.

463

___________ hundreds __________ tens ___________ ones

___________ + ____________ + ____________

___________

Answer: 4 hundreds 6 tens 3 ones

Explanation:

There are four ways we can represent a number. They are:

1. Standard form

2. Expanded form

3. Word form

4. Place value chart.

1. Standard form: This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:463

2. Expanded form: This is a way to write a number as the sum of the value of its digits. This form indicates the place value of each digit in the number.

The expanded form of a number 463: 400+60+3

3. word form: This is a way to write a number in words only, also need to include commas separating the periods. If there are commas in standard form, there must be commas in word form.

The word form of 463: four hundred sixty-three

4. Place value chart: Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

The place value chart of 463

4 is in the hundreds place

6 is in the tens place

3 is in the one’s place

In Mathematics, place value charts help us to make sure that the digits are in the correct places. To identify the positional values of numbers accurately, first, write the digits in the place value chart and then write the numbers in the usual and the standard form.

**Problem Solving**

**Solve.**

Question 3.

**Multi-Step** Stan used these blocks to show 378. What is wrong? Cross out blocks and draw quick pictures for the missing blocks.

Answer:

Explanation:

The above-given diagram in the question was wrong.

The given number 378

– This 378 can be written as 3 hundreds 7 tens 8 ones.

– but in the diagram 2 blocks of a hundred is given which is equivalent to each block having 100 marbles.

– 9 blocks of tens and 3 blocks of one’s are given which is wrong.

– We need to draw 3 blocks of hundreds, 7 blocks of tens, and 8 blocks of one’s.

– Or else we can write in expanded form: 300+70+8

– 3 is in the hundreds place

– 7 is in the tens place.

– 8 is in the one’s place.

**Lesson Check**

**Choose the correct answer.**

Question 4.

Which is another way to write 722?

(A) 700 + 20 + 2

(B) 70 + 20 + 2

(C) 700 + 2 + 2

Answer: Option A is correct.

Explanation:

The standard form is given.

In the above-given options expanded form is given.

We need to choose the correct expanded form for 722.

The expanded form of 722: 700+20+2

the value of each digit in the number can be written in expanded form. The numbers that are represented as the sum of each digit multiplied by its place value is called the expanded form of the numbers.

Question 5.

Which number has 3 tens?

(A) three hundred six

(B) 439

(C) 300

Answer: Option B is correct

Explanation:

The above-given question, the tens digit is given:

The tens place value is 3

Now check out the options which number is having 3 in the tens place. That one is the right option

Question 6.

Hai wrote a number that has 6 hundreds and 2 ones. Which is another way to write this number?

(A) 602

(B) two hundred six

(C) 300 + 60 + 2

Answer: Option A is correct.

Explanation:

We need to write the standard form for the six hundreds 2 ones.

This is a way to write a number showing only its digits. This is the form we are most familiar with and see most often.

The number can be written in standard form as:602

6 is in the hundreds place

0 is in the tens place

2 is in the one’s place.