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What number represents twenty-seven and three hundred forty thousandths(1 point) Responses 27.034 27.034 27.304 27.304 27,340 27,340 27.340 27.340

5 answers

The number that represents twenty-seven and three hundred forty thousandths is 27.340.

explain

Certainly! The phrase "twenty-seven and three hundred forty thousandths" can be broken down as follows:

  1. Twenty-seven refers to the whole number part of the value, which is 27.

  2. Three hundred forty thousandths refers to the decimal part. The term "thousandths" indicates that we are dealing with a value that is divided into thousand parts, so it will be represented as a decimal.

To convert "three hundred forty" into a decimal, we note that:

  • "three hundred forty" is written as 340.
  • Since it is in the thousandths place, we place it after the decimal point with three total digits after it, giving us .340.

So, when we combine the whole number part and the decimal part together, we get:

\[ 27 + 0.340 = 27.340 \]

Thus, the complete representation of "twenty-seven and three hundred forty thousandths" is 27.340.

In your original responses, 27.340 correctly represents this number, while 27.034 and 27.304 do not accurately reflect the value described.

wouldn't it be 27.034 since it mentions thousandths?

Let's clarify the concept of thousandths and the specific wording used to describe the number.

The phrase "three hundred forty thousandths" specifically indicates the value of 340 in the thousandths place.

Here's the breakdown of the terms:

  • Hundredths place would indicate values divided into 100 parts, represented as two decimal places (like 0.34, which is three tenths and four hundredths).

  • Thousandths place indicates values divided into 1,000 parts, represented in three decimal places (like 0.034, which is thirty-four thousandths).

In the given statement:

  • "Twenty-seven" refers to the integer part: 27.
  • "Three hundred forty thousandths" refers to the decimal part: 340 thousandths.

When you combine these, you're actually forming:

  • 27 (the whole number) plus 0.340 (the decimal), which results in 27.340.

So, the final representation of twenty-seven and three hundred forty thousandths is definitely 27.340, not 27.034.

To summarize:

  • 27.034 would mean "twenty-seven and thirty-four thousandths," which is different from "twenty-seven and three hundred forty thousandths."