Respuesta :

Answer:

Expanded form - [tex]164.38 = 100+60+4+0.3+0.08[/tex]

Word form - 164.38 is Sixteen hundred four and thirty eight hundredths.

Step-by-step explanation:

Given : Number 164.38.

To find : Write number in expanded form and word form ?

Solution :

Expanded form is a way of writing number according to their place digit.

[tex]164.38 = (1\times100)+(6\times10)+(4\times1) +(3\times \frac{1}{10})+(8\times\frac{1}{100})[/tex]

[tex]164.38 = 100+60+4+0.3+0.08[/tex]

Word form is a way of writing a number into words.

The place value of decimal number is

Hundred   Tens   Ones    Tenths    Hundredths

 1                 6         4            3                8

164.38 is Sixteen hundred four and thirty eight hundredths.

The number 164.38 in the expanded form is 100+ 60 + 4 + 0.3 + 0.08 and in the word form is one hundred sixty-four point thirty-eight or One hundred sixty-four and thirty-eight hundredths.

What is expanded form?

In arithmetic, the expanding form can be used to express the value of each digit in a number. The expanded version of numbers is those that are expressed as the sum of each digit multiplied by its place value.

We have a number:

= 164.38

We can write it in the expanded form as follows:

= (1×100) + (6×10) + (4×1) + (3×1/10) + (8×1/100)

= 100+ 60 + 4 + 0.3 + 0.08

In word form, we can write the number as follows:

One hundred sixty-four point thirty-eight  or

One hundred sixty-four and thirty-eight hundredths

Because the place value of the decimal number is:

Hundred    Tens    Ones  Tenths   Hundredths

1     ��              6        4          3             8

Thus, the number 164.38 in the expanded form is 100+ 60 + 4 + 0.3 + 0.08 and in the word form is one hundred sixty-four point thirty-eight or One hundred sixty-four and thirty-eight hundredths.

Learn more about the expanded form here:

https://brainly.com/question/17837892

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