Ordering Integers
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SSAT Middle Level: Quantitative › Ordering Integers
Temperatures are integers (whole numbers that can be negative, positive, or zero). On a number line, numbers to the left are smaller and numbers to the right are larger.
Number line:
$\leftarrow$ -10 -8 -6 -4 -2 0 2 4 6 8 10 $\rightarrow$
A student checks five temperatures during a week: -10$^\circ$C, -6$^\circ$C, -1$^\circ$C, 3$^\circ$C, 10$^\circ$C. Integers help show changes above and below $0^\circ$C.
What is the correct order of these integers on the number line?
-10, -5, -1, 3, 10
-10, -6, 0, 3, 10
10, 3, -1, -6, -10
-10, -6, -1, 3, 10
Explanation
This question tests the ability to compare and order integers on a number line, a key skill in understanding number properties at the middle school level. Integers include both positive and negative whole numbers, and ordering them involves arranging them from least to greatest or vice versa. In this question, the number line shown includes integers from -10 to 10, providing a visual representation to guide ordering. The correct answer is choice A because it accurately lists the integers in the order from least to greatest based on the number line. Choice B is incorrect because it reverses the order, a common mistake when not paying attention to the direction of the number line. To help students avoid such errors, encourage them to visualize the number line mentally and practice placing real-world contexts, like temperatures or bank balances, on it. This strategy can solidify their understanding of integer order.
Temperatures are integers on a number line. Left means smaller (colder), and right means larger (warmer).
Number line:
$\leftarrow$ -10 -8 -6 -4 -2 0 2 4 6 8 10 $\rightarrow$
A report shows: -6, -5, -4, 4, 5.
What is the correct order of these integers on the number line?
-6, -5, -4, 4, 5
-6, -4, -5, 4, 5
-6, -5, -3, 4, 5
5, 4, -4, -5, -6
Explanation
This question tests the ability to compare and order integers on a number line, a key skill in understanding number properties at the middle school level. Integers include both positive and negative whole numbers, and ordering them involves arranging them from least to greatest or vice versa. In this question, the number line shown includes integers from -10 to 10, providing a visual representation to guide ordering. The correct answer is choice A because it accurately lists the integers in the order from least to greatest based on the number line. Choice B is incorrect because it reverses the order, a common mistake when not paying attention to the direction of the number line. To help students avoid such errors, encourage them to visualize the number line mentally and practice placing real-world contexts, like temperatures or bank balances, on it. This strategy can solidify their understanding of integer order.
Integers are whole numbers that can be negative, zero, or positive. A number line helps compare them: left is smaller, right is larger.
Number line:
$\leftarrow$ -10 -8 -6 -4 -2 0 2 4 6 8 10 $\rightarrow$
Morning temperatures were: -8, -4, -2, 5, 10.
Which of the following lists integers from least to greatest based on the number line above?
10, 5, -2, -4, -8
-8, -2, -4, 5, 10
-8, -4, -2, 5, 10
-8, -4, 0, 5, 10
Explanation
This question tests the ability to compare and order integers on a number line, a key skill in understanding number properties at the middle school level. Integers include both positive and negative whole numbers, and ordering them involves arranging them from least to greatest or vice versa. In this question, the number line shown includes integers from -10 to 10, providing a visual representation to guide ordering. The correct answer is choice B because it accurately lists the integers in the order from least to greatest based on the number line. Choice A is incorrect because it reverses the order, a common mistake when not paying attention to the direction of the number line. To help students avoid such errors, encourage them to visualize the number line mentally and practice placing real-world contexts, like temperatures or bank balances, on it. This strategy can solidify their understanding of integer order.