Math

QuestionDo 1.583 and 1 one + 58 hundredths + 3 thousandths represent the same number? Justify your answer.

Studdy Solution

STEP 1

Assumptions1. The place-value blocks show the number1.583. Deshawn shows the same number as1 one +58 hundredths +3 thousandths

STEP 2

First, we need to understand the decimal place values. In a decimal number, the first digit to the right of the decimal point is the tenths place, the second digit is the hundredths place, and the third digit is the thousandths place.

STEP 3

Now, let's break down the number1.583 according to the decimal place values.
1.583=1one+5tenths+8hundredths+3thousandths1.583 =1\, one +5\, tenths +8\, hundredths +3\, thousandths

STEP 4

Next, let's break down Deshawn's representation of the number.
1one+58hundredths+3thousandths=1one+0.58ones+0.003ones1\, one +58\, hundredths +3\, thousandths =1\, one +0.58\, ones +0.003\, ones

STEP 5

Now, let's add up the values in Deshawn's representation.
1one+0.58ones+0.003ones=1.583ones1\, one +0.58\, ones +0.003\, ones =1.583\, ones

STEP 6

Comparing the results from3 and5, we can see that both representations show the same number,1.583.
So, yes, the two ways both show the same number. The difference is just in how the decimal places are represented.

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