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Which of the following represents three hundred two thousand, fifty-seven written in expanded form?

A. [tex]$300,000 + 2,000 + 50 + 7$[/tex]
B. [tex]$302,000 + 57$[/tex]
C. [tex]$302 + 1,000 + 50 + 7$[/tex]
D. [tex]$300 + 2,000 + 50 + 7$[/tex]


Sagot :

To represent the number three hundred two thousand and fifty-seven in expanded form, we must break it down into its components according to their place values. Let's take a step-by-step approach to understand this.

1. Identify each digit and its place value:
- The number given is 302,057.
- Break it down into individual place values:
- 3 is in the hundred thousand's place,
- 0 is in the ten thousand's place,
- 2 is in the thousand's place,
- 0 is in the hundred's place,
- 5 is in the ten's place,
- 7 is in the one's place.

2. Write each digit with its corresponding place value:
- 3 in the hundred thousand's place: [tex]\( 300,000 \)[/tex]
- 2 in the thousand's place: [tex]\( 2,000 \)[/tex]
- 5 in the ten's place: [tex]\( 50 \)[/tex]
- 7 in the one's place: [tex]\( 7 \)[/tex]

3. Combine these values to form the expanded form:
- [tex]\( 300,000 + 2,000 + 50 + 7 \)[/tex]

Now, let's compare these values with the options provided:

a) [tex]\( 300,000 + 2,000 + 50 + 7 \)[/tex]

b) [tex]\( 302,000 + 57 \)[/tex]

c) [tex]\( 302 + 1,000 + 50 + 7 \)[/tex]

d) [tex]\( 300 + 2,000 + 50 + 7 \)[/tex]

The correct expanded form of 302,057 is given in option (a):

[tex]\[ 300,000 + 2,000 + 50 + 7 \][/tex]

So, the correct answer is:

[tex]\[ 300,000 + 2,000 + 50 + 7 \][/tex]