# Spectrum Math Grade 5 Chapter 2 Lesson 5 Answer Key Expanded Form with Whole Numbers

Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 2 Lesson 2.5 Expanded Form with Whole Numbers regularly and improve your accuracy in solving questions.

## Spectrum Math Grade 5 Chapter 2 Lesson 2.5 Expanded Form with Whole Numbers Answers Key

Expanded form is a way to write a number that shows the sum of values of each digit of a number. To use expanded form, a number has to be separated into each of its parts using place value.
5,423 = 5,000 + 400 + 20 + 3
39,572 = 30,000 + 9,000 + 500 + 70 + 2

Write each number in Expanded form.

Question 1.
a. 430
_______
400 + 30

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
430 = 400 + 30
4 in hundreds places is written as 4 x 100 = 400.
3 in tens place is written as 3 x 10 = 30.
So, the sum of 400 + 30 = 430.

b. 721
_______
700 + 20 + 1

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
721 = 700 + 20 + 1
7 in hundreds places is written as 7 x 100 = 700.
2 in tens place is written as 2 x 10 = 20.
1 in ones place is written as 1 x 1 = 1.
So, the sum of 700 + 20 + 1 = 721.

Question 2.
a. 3,465
_______
3,000 + 400 + 60 + 5

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
3,465 = 3,000 + 400 + 60 + 5
3 in thousands place is written as 3 x 1000 = 3000
4 in hundreds places is written as 4 x 100 = 400.
6 in tens place is written as 6 x 10 = 60.
5 in ones place is written as 5 x 1 = 5.
So, the sum of 3,000 + 400 + 60 + 5 = 3465.

b. 43,645
_______
40,000 + 3,000 + 600 + 40 + 5

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
43,645 = 40,000 + 3,000 + 600 + 40 + 5
4 in ten thousands place is written as 4 x 10,000 = 40,000
3 in thousands place is written as 3 x 1000 = 3000
6 in hundreds places is written as 6 x 100 = 600.
4 in tens place is written as 4 x 10 = 40.
5 in ones place is written as 5 x 1 = 5.
So, the sum of 40,000 + 3,000 + 600 + 40 + 5 = 43,645

Question 3.
a. 90,327
_______
90,000 + 300 + 20 + 7

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
90,327 = 90,000 + 300 + 20 + 7
9 in ten thousands place is written as 9 x 10,000 = 90,000
3 in hundreds places is written as 3 x 100 = 300.
2 in tens place is written as 2 x 10 = 20.
7 in ones place is written as 7 x 1 = 7.
So, the sum of 90,000 + 300 + 20 + 7 = 90,327

b. 4,009
_______
4,000 + 9

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
4,009 = 4,000 + 9
4 in thousands place is written as 4 x 1000 = 4000
9 in ones place is written as 9 x 1 = 9.
So, the sum of 4,000 + 9 = 4,009

Question 4.
a. 653,410
_______
600,000 + 50,000 + 3,000 + 400 + 10

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
653,410 = 600,000 + 50,000 + 3,000 + 400 + 10
6 in hundred thousands place is written as 6 x 100,000 = 600,000
5 in ten thousands place is written as 5 x 10,000 = 50,000
3 in thousands place is written as 3 x 1000 = 3000
4 in hundreds places is written as 4 x 100 = 400.
1 in tens place is written as 1 x 10 = 10.
So, the sum of 600,000 + 50,000 + 3,000 + 400 + 10 = 653,410

b. 103,254
_______
100,000 + 3,000 + 200 + 50 + 4

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
103,254 = 100,000 + 3,000 + 200 + 50 + 4
1 in hundred thousands place is written as 6 x 100,000 = 100,000
3 in thousands place is written as 3 x 1000 = 3000
2 in hundreds places is written as 2 x 100 = 200
5 in tens place is written as 5 x 10 = 50
4 in ones place is written as 4 x 1 = 4
So, the sum of 100,000 + 3,000 + 200 + 50 + 4 = 103,254

Question 5.
a. 199,482
_______
100,000 + 90,000 + 9,000 + 400 + 80 + 2

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
199,482 = 100,000 + 90,000 + 9,000 + 400 + 80 + 2
1 in hundred thousands place is written as 1 x 100,000 = 100,000
9 in ten thousands place is written as 9 x 10,000 = 90,000
9 in thousands place is written as 9 x 1000 = 9000
4 in hundreds places is written as 4 x 100 = 400.
8 in tens place is written as 8 x 10 = 80.
2 in ones place is written as 2 x 1 = 2
So, the sum of 100,000 + 90,000 + 9,000 + 400 + 80 + 2 = 199,482

b. 32,451
_______
30,000 + 2,000 + 400 + 50 + 1

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
32,451 = 30,000 + 2,000 + 400 + 50 + 1
3 in ten thousands place is written as 3 x 10,000 = 30,000
2 in thousands place is written as 2 x 1000 = 2000
4 in hundreds places is written as 4 x 100 = 400.
5 in tens place is written as 5 x 10 = 50.
1 in ones place is written as 1 x 1 = 1
So, the sum of 30,000 + 2,000 + 400 + 50 + 1 = 32,451

Question 6.
a. 9,342,751
_______
9,000,000 + 300,000 + 40,000 + 2,000 + 700 + 50 + 1

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
9,342,751 = 9,000,000 + 300,000 + 40,000 + 2,000 + 700 + 50 + 1
9 in millions place is written as 9 x 1,000,000 = 9,000,000
3 in hundred thousands place is written as 3 x 100,000 = 300,000
4 in ten thousands place is written as 4 x 10,000 = 40,000
2 in thousands place is written as 2 x 1000 = 2000
7 in hundreds places is written as 7 x 100 = 700.
5 in tens place is written as 5 x 10 = 50.
1 in ones place is written as 1 x 1 = 1
So, the sum of 9,000,000 + 300,000 + 40,000 + 2,000 + 700 + 50 + 1 = 9,342,751

b. 2,500,055
_______
2,000,000 + 500,000 + 50 + 5

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
2,500,055 = 2,000,000 + 500,000 + 50 + 5
2 in millions place is written as 2 x 1,000,000 = 2,000,000
5 in hundred thousands place is written as 5 x 100,000 = 500,000
5 in tens place is written as 5 x 10 = 50
5 in ones place is written as 5 x 1 = 5
So, the sum of 2,000,000 + 500,000 + 50 + 5 = 2,500,055

Question 7.
a. 598,721
_______
500,000 + 90,000 + 8,000 + 700 + 20 + 1

Explanation:
We know that,
Expanded form is a method to show the sum of values of each digit of a number.
In expanded form we separate a number into each of its parts using place value.
Given,
598,721 = 500,000 + 90,000 + 8,000 + 700 + 20 + 1
5 in hundred thousands place is written as 5 x 100,000 = 500,000
9 in ten thousands place is written as 9 x 10, 000 = 90,000
8 in thousands place is written as 8 x 1000 = 8000
7 in hundreds places is written as 7 x 100 = 700
2 in tens place is written as 2 x 10 = 20
1 in ones place is written as 1 x 1 = 1
So, the sum of 500,000 + 90,000 + 8,000 + 700 + 20 + 1 = 598,721

b. 69,003
_______