Question

1. which set of integers is listed in order from least to greatest?

5, 8, -9, -10
-5, -3, -2, 7
-5, 4, -2, -7
5, 4, 2, -1

1. what is the area of a rectangle that is 8 inches wide and 12 inches long?

96 inches²
20 inches²
40 inches²
16 inches²

Explanation:

Question 26

Step1: Recall integer comparison rules

Negative integers are less than positive integers. Among negative integers, the one with a larger absolute value is smaller.

Step2: Analyze each option

• Option 1: \( - 10<-9 < 5<8\), so \(5,8,-9,-10\) is not in order.
• Option 2: \(-5<-3<-2 < 7\), this set is in order from least to greatest.
• Option 3: \(-7<-5<-2 < 4\), so \(-5,4,-2,-7\) is not in order.
• Option 4: \(-1<2<4<5\), so \(5,4,2,-1\) is not in order.

Step1: Use the area formula for a rectangle

The area formula of a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width.

Step2: Substitute the given values

Given \(l = 12\) inches and \(w = 8\) inches. Then \(A=12\times8\).

Step3: Calculate the product

\(12\times8=(10 + 2)\times8=10\times8+2\times8=80 + 16=96\) square inches.

Answer:

\(-5,-3,-2,7\)

Question 27