Question

complete the parts below.
(a) fill in the blanks.
write 85% as a decimal.
write \\(\frac{7}{10}\\) as a decimal.
(b) plot \\(\frac{7}{10}\\) and 85% on the number line.

Explanation:

Part (a)

Step 1: Convert 85% to decimal

To convert a percentage to a decimal, we divide by 100 (or move the decimal point two places to the left). So, \( 85\%=\frac{85}{100} = 0.85\).

Step 2: Convert \(\frac{7}{10}\) to decimal

A fraction with denominator 10 can be converted to a decimal by looking at the numerator. \(\frac{7}{10}\) means 7 tenths, so it is \( 0.7\).

Part (b)

To plot \(\frac{7}{10}=0.7\) and \( 85\% = 0.85\) on the number line:

• Locate 0.7: Since the number line has marks (assuming each small mark is 0.05 or 0.1, depending on the scale), find the position corresponding to 0.7.
• Locate 0.85: Find the position between 0.8 and 0.9 (closer to 0.85) on the number line.

Answer:

s
(a) 85% as a decimal: \(\boldsymbol{0.85}\); \(\frac{7}{10}\) as a decimal: \(\boldsymbol{0.7}\)
(b) Plot 0.7 (for \(\frac{7}{10}\)) and 0.85 (for 85%) on the number line at their respective decimal positions.