Question

complete the parts below.
(a) fill in the blanks.
write \\(\frac{3}{5}\\) as a decimal.
write 75% as a decimal.
(b) plot \\(\frac{3}{5}\\) and 75% on the number line.
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

Explanation:

Part (a)

First Blank: Write $\frac{3}{5}$ as a decimal.

Step1: Divide numerator by denominator

To convert a fraction to a decimal, we divide the numerator by the denominator. So for $\frac{3}{5}$, we do $3 \div 5$.
$3 \div 5 = 0.6$

Second Blank: Write 75% as a decimal.

Step1: Recall percentage to decimal conversion

To convert a percentage to a decimal, we divide the percentage value by 100. So for 75%, we do $75 \div 100$.
$75 \div 100 = 0.75$

Part (b)

To plot $\frac{3}{5}$ (which is 0.6) and 75% (which is 0.75) on the number line:

• Locate 0.6 on the number line. Looking at the number line, the mark for 0.6 is present. Place a point there.
• Locate 0.75 on the number line. The mark for 0.75 is also present. Place a point there.

Part (a) Answers:

First blank: $0.6$
Second blank: $0.75$

Part (b) Explanation (Plotting):

• For $\frac{3}{5} = 0.6$, find the position labeled $0.6$ on the number line and mark it.
• For $75\% = 0.75$, find the position labeled $0.75$ on the number line and mark it.

Answer:

Step1: Recall percentage to decimal conversion

To convert a percentage to a decimal, we divide the percentage value by 100. So for 75%, we do $75 \div 100$.
$75 \div 100 = 0.75$

Part (b)

To plot $\frac{3}{5}$ (which is 0.6) and 75% (which is 0.75) on the number line:

• Locate 0.6 on the number line. Looking at the number line, the mark for 0.6 is present. Place a point there.
• Locate 0.75 on the number line. The mark for 0.75 is also present. Place a point there.

Part (a) Answers:

First blank: $0.6$
Second blank: $0.75$

Part (b) Explanation (Plotting):

• For $\frac{3}{5} = 0.6$, find the position labeled $0.6$ on the number line and mark it.
• For $75\% = 0.75$, find the position labeled $0.75$ on the number line and mark it.