Question

1. (62, 93) fifty percent of this rectangle is shaded. write 50% as a reduced fraction. what is the area of the shaded part of the rectangle?
2. (34) what is the place value of the 7 in 3.567?
3. (45, 51) estimate divide 0.5 by 4 and round the quotient to the nearest tenth.
4. (44) arrange these numbers in order from least to greatest: 0.3, 3.0, 0.03
5. (10) predict in this sequence the first term is 2, the second term is 4, and the third term is 6. what is the twentieth term of the sequence? 2, 4, 6, 8, ...

Explanation:

Step1: Convert 50% to fraction

$50\% = \frac{50}{100} = \frac{1}{2}$

Step2: Calculate rectangle area

Area = $20 \times 10 = 200$ mm²

Step3: Find shaded area

Shaded area = $200 \times \frac{1}{2} = 100$ mm²

Step4: Identify place value of 7

In 3.567, 7 is at thousandths place

Step5: Divide 0.5 by 4

$0.5 \div 4 = 0.125$

Step6: Round to nearest tenth

0.125 ≈ 0.1

Step7: Order numbers

Compare 0.3, 3.0, 0.03: 0.03 < 0.3 < 3.0

Step8: Find sequence nth term

Term n = $2n$; 20th term = $2×20 = 40$

Answer:

1. Reduced fraction: $\frac{1}{2}$; Shaded area: 100 mm²
2. Thousandths place
3. 0.1
4. 0.03, 0.3, 3.0
5. 40