Question

The diameter of a dime is seven hundred five thousandths of an inch. Complete the table by recording the diameter of a dime. what is the value of the 5 in the diameter of a half dollar?

Answer 1

Answer:

0.705 inches,

5 thousandths or 0.005

Step-by-step explanation:

In reading and writing decimals,

$\frac{1}{10}$ = tenths,

$\frac{1}{100}$ = hundredths,

$\frac{1}{1000}$ = thousandths,

$\frac{1}{10000}$ = ten thousandths,

....... so on....

Given,

The diameter of dime = seven hundred five thousandths of an inch.

∵ seven hundred five thousandths = $705\times \frac{1}{1000}=\frac{705}{1000}$ = 0.705

That is,

Diameter of dime = 0.705 inches,

Now, the diameter of half dollar = 1.205,

$1.205=1+205\times \frac{1}{1000} = 1 + \frac{2}{10}+\frac{5}{1000}$

So, the value of 5 = five thousandths.

Hence, the value of the 5 in the diameter of a half dollar is five thousandths.

Answer 2

Using place value relationship, the value for the diameter of a dime is 700.005 ; while the digit 5 in the half dollar value is in the thousandth place.

• Diameter of dime = Seven hundred, five thousandth of an inch

Using place value relationship :

• Seven hundred = 700

• Five thousandth = 0.005

Seven hundred, five thousandth= 700 + 0.005 = 700.005

The diameter of a half dollar = 1.205

Splitting the digits based on place value :

1 = unit

Values after the decimal :

• 2 = tenth
• 0 = hundredth (second dugit after decimal point)
• 5 = thousandth (third digit after decimal point)

Therefore, the value of 5 is in the thousandth place.

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