Question

help students understand how fractions and decimal numbers are related. Her teacher showed her on the ruler that 0.5 is equivalent to circumference of a circle, Whiet number below will give him the approximate value of ? A 300 B. 3.14 0.5 C. 328 liquip D. 3.43 Inches 1 2 11 What decimal number is equivalent to 12 Question 3 Which of the following numbers rational? A 1 78 A 0.31311 B. 1 1875 C 1.875 C v16 D. 1.75 D. 27

Answer 1

The measuring rule shows lines graded between each unit.

Each unit has four lines between them which means each line is a quarter, or 1/4 or 0.25 of each unit.

When the ruler indicates 0.5, that is shown as two quarters, or one half (that is 1/2).

Therefore when the ruler indicates

`\begin{gathered} 1(7)/(8) \\ \text{That can be broken down into } \\ 1+(2)/(8)+(2)/(8)+(2)/(8)+(1)/(8) \\ \text{Note that }(2)/(8)\text{ is equivalent to }(1)/(4) \\ \text{Also }(1)/(4)\text{ is equivalent to 0.25} \\ (1)/(8)\text{ is half of }(1)/(4),\text{ and that is equivalent to half of 0.25} \\ \text{Therefore, we now have} \\ 1+0.25+0.25+0.25+0.125 \\ =1.875 \end{gathered}`

The correct answer is 1.875