QuestionWrite the number name for $3.252$ and find the value of the underlined digit $5$ .

Studdy Solution

STEP 1

Assumptions1. The number is $3.252$ . The underlined digit is $5$
3. The place-value chart is based on the decimal system, where each place to the left of the decimal point represents a power of10 (units, tens, hundreds, etc.), and each place to the right of the decimal point represents a negative power of10 (tenths, hundredths, thousandths, etc.)

STEP 2

First, let's write the number $.252$ in a place-value chart. The chart will have columns for units, tenths, hundredths, and thousandths.
$\begin{array}{cccc} \text{Units} & \text{Tenths} & \text{Hundredths} & \text{Thousandths} \\ &2 &5 &2 \\ \end{array}$

STEP 3

Now, let's write the number name for $3.252$ .The digit in the units place is $3$ , so we write "three".The digits to the right of the decimal point are $252$ , so we write "and two hundred fifty-two thousandths".So, the number name for $3.252$ is "three and two hundred fifty-two thousandths".

STEP 4

Next, let's find the value of the underlined digit $.The$ is in the hundredths place, so its value is $$ times the value of the hundredths place, which is $0.01$.
$Value\, of\, = \\times Value\, of\, hundredths\, place$

STEP 5

Now, plug in the value of the hundredths place to calculate the value of $5$ .
$Value\, of\,5 =5 \\times0.01$

STEP 6

Calculate the value of $5$ .
$Value\, of\,5 =5 \\times0.01 =0.05$ The value of the underlined digit $5$ is $0.05$ .

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