Question

weekly practice 3

1. which list of numbers shows 1.7, 1\frac{4}{5}, 1\frac{7}{20}, and 1.28 ordered from least to greatest?

a 1\frac{7}{20}, 1.28, 1.7, 1\frac{4}{5}
b 1.28, 1.7, 1\frac{4}{5}, 1\frac{7}{20}
c 1\frac{7}{20}, 1.28, 1\frac{4}{5}, 1.7
d 1.28, 1\frac{7}{20}, 1.7, 1\frac{4}{5}

1. what is the value of 10\frac{1}{2} \div 2\frac{5}{8}?

image of a grid

1. which set of numbers are plotted on the number line?

number line from 0 to 3 with points
a \\{2\frac{1}{5}, 1.1, 1.43, \frac{3}{4}\\}
b \\{1.57, \frac{3}{8}, 2\frac{1}{5}, 0.85\\}
c \\{0.85, 2\frac{1}{2}, 1.57, \frac{1}{8}\\}
d \\{\frac{3}{8}, 0.85, 1.43, 2\frac{1}{5}\\}

1. which number line can be used to order the numbers -0.25, 0.9, 0.33, -0.69?

four number line options

1. fill in the bubbles to indicate whether each statement is true or false.

statement	true	false
-7 > 4	c	d
-6.8 > -5.2	e	f
9.7 > 9\frac{3}{5}	g	h

1. what is the value of 0.65 \times 3.74?

image of a grid

Explanation:

Question 2:

Step1: Convert mixed numbers to improper fractions

\(10\frac{1}{2}=\frac{10\times2 + 1}{2}=\frac{21}{2}\), \(2\frac{5}{8}=\frac{2\times8+5}{8}=\frac{21}{8}\)

Step2: Divide the fractions (multiply by reciprocal)

\(\frac{21}{2}\div\frac{21}{8}=\frac{21}{2}\times\frac{8}{21}\)

Step3: Simplify the expression

Cancel out 21: \(\frac{8}{2}\)
Simplify \(\frac{8}{2}=4\)

Step1: Multiply the decimals

\(0.65\times3.74\)
First, calculate \(65\times374 = 24310\)

Step2: Determine the decimal places

\(0.65\) has 2 decimal places, \(3.74\) has 2 decimal places. Total decimal places: \(2 + 2=4\)

Step3: Place the decimal in the product

\(24310\) with 4 decimal places: \(2.4310\) (simplify to \(2.431\))

Answer:

\(4\)

Question 6: