Question

question 5 of 50
write the following number in standard decimal form.
nine hundred and seventeen ten - thousandths

question 6 of 50
give the digits in the ones place and the tenths place.
54.21

question 7 of 50
write 0.5 as a fraction in simplest form.

question 8 of 50
write 3.6 as a mixed number and as an improper fraction.
write your answers in simplest form.
mixed number:
improper fraction:

question 9 of 50
use <, >, or = to compare the following decimals.
(a) 1.74 9.25
(b) 7.3 7.08
(c) 0.4 0.40

Explanation:

Question 5

Step1: Understand the place value

Ten - thousandths place means the denominator is \(10000\). Nine hundred and seventeen ten - thousandths can be written as a fraction \(\frac{917}{10000}\) (since nine hundred is \(900\) and seventeen is \(17\), so \(900 + 17=917\) in the numerator).

Step2: Convert to decimal

To convert the fraction \(\frac{917}{10000}\) to a decimal, we divide \(917\) by \(10000\). When we divide a number by \(10000\), we move the decimal point four places to the left. So \(917\div10000 = 0.0917\).

Step1: Identify the ones place

In the number \(54.21\), the digit in the ones place is the digit to the left of the decimal point, and it is the units digit of the whole number part. The whole number part is \(54\), so the digit in the ones place is \(4\).

Step2: Identify the tenths place

The tenths place is the first digit to the right of the decimal point. In \(54.21\), the first digit to the right of the decimal point is \(2\), so the digit in the tenths place is \(2\).

Step1: Write \(0.5\) as a fraction

\(0.5\) can be written as \(\frac{5}{10}\) because the \(5\) is in the tenths place (it represents \(5\) tenths).

Step2: Simplify the fraction

To simplify \(\frac{5}{10}\), we find the greatest common divisor (GCD) of \(5\) and \(10\), which is \(5\). Then we divide both the numerator and the denominator by \(5\): \(\frac{5\div5}{10\div5}=\frac{1}{2}\).

Answer:

\(0.0917\)

Question 6