Ordering Integers - SSAT Middle Level Quantitative

1. Which integer is greater: $-3$ or $2$?

   $2$. Positive integers are always greater than negative integers, as they lie to the right on the number line.

2. Which integer is less: $-12$ or $-15$?

   $-15$. Among negative integers, the one farther from zero is smaller, as it lies farther to the left on the number line.

3. Which integer is less: $-1$ or $4$?

   $-1$. Negative integers are less than positive integers, as they lie to the left on the number line.

4. What is the correct comparison: $0$ __ $-7$?

   $0 > -7$. Zero is greater than any negative integer, as it lies to the right on the number line.

5. What is the correct comparison: $0$ __ $5$?

   $0 < 5$. Zero is less than any positive integer, as it lies to the left on the number line.

6. Put the integers $-1$, $2$, $-3$ in increasing order (least to greatest).

   $-3, -1, 2$. Integers are ordered from least to greatest by their positions from left to right on the number line.

7. What is the comparison symbol for the statement "$a$ is less than $b$"?

   $<$. The symbol $<$ indicates that the value on the left is smaller than the value on the right.

8. Put the integers $-3$, $-5$, $2$, $0$ in decreasing order (greatest to least).

   $2, 0, -3, -5$. Decreasing order arranges integers from the rightmost to the leftmost position on the number line.

9. Put the integers $5$, $0$, $-2$ in increasing order (least to greatest).

   $-2, 0, 5$. Increasing order arranges integers from the leftmost to the rightmost position on the number line.

10. What is the comparison symbol for the statement "$a$ is equal to $b$"?

    $=$. The symbol $=$ denotes that two values are identical in magnitude and position on the number line.

11. What does it mean on a number line if integer $a$ is to the right of integer $b$?

    $a > b$. On a number line, values increase from left to right, so if $a$ is positioned to the right of $b$, then $a$ is greater than $b$.

12. Which integer is closest to $0$: $-4$ or $3$?

    $3$. The integer with the smaller absolute value is nearer to zero, as absolute value measures distance from zero.

13. What is the correct comparison: $-6$ __ $-9$?

    $-6 > -9$. Since $-6$ is to the right of $-9$ on the number line, it is greater.

14. What is the correct comparison: $-10$ __ $-2$?

    $-10 < -2$. Since $-10$ is to the left of $-2$ on the number line, it is smaller.

15. What is the greatest integer: $-9$, $-2$, $-11$, $-5$?

    $-2$. The greatest among negative integers is the one closest to zero, as it is rightmost on the number line.

16. Put the integers $-7$, $-1$, $-4$ in increasing order (least to greatest).

    $-7, -4, -1$. For negative integers, increasing order moves from the most negative (leftmost) to the least negative (rightmost).

17. Which integer is greater: $-8$ or $-5$?

    $-5$. Among negative integers, the one closer to zero is greater, as it lies farther to the right on the number line.

18. What is the comparison symbol for the statement "$a$ is greater than $b$"?

    $>$. The symbol $>$ indicates that the value on the left is larger than the value on the right.

19. What is the least integer: $4$, $0$, $-3$, $2$?

    $-3$. The least integer is the leftmost on the number line among the given options.

20. What does it mean on a number line if integer $a$ is to the left of integer $b$?

    $a < b$. On a number line, values decrease from right to left, so if $a$ is positioned to the left of $b$, then $a$ is less than $b$.

21. Which integer lies between $-1$ and $1$ on the number line?

    $0$. Zero is the only integer positioned between $-1$ and $1$ on the number line.

22. Identify the larger integer: $-100$ or $-99$.

    $-99$. Between two negative integers, the one closer to zero is larger, as it lies to the right on the number line.

23. Put the integers $-6$, $3$, $1$, $-2$ in increasing order (least to greatest).

    $-6, -2, 1, 3$. To order in increasing sequence, start with the smallest (leftmost) and proceed to the largest (rightmost) on the number line.

24. Which integer is closest to $0$: $-2$ or $1$?

    $1$. The integer with the smallest absolute value is closest to zero on the number line.

25. Find the integer that lies between $-4$ and $-2$ on the number line.

    $-3$. The integer between $-4$ and $-2$ is the one positioned directly in the middle on the number line.

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