6th grade Integer review

Front

-20 + 10 + -30

Back

-40

Answer explanation

To solve -20 + 10 + -30, first add -20 and 10 to get -10. Then, add -30 to -10, resulting in -40. Thus, the correct answer is -40.

Front

-4 + 8

Back

4

Answer explanation

To solve -4 + 8, add 8 to -4. This can be visualized as moving 4 units left from 0 on a number line and then moving 8 units right. The result is 4, making the correct answer 4.

Front

Which is not an integer? -5, 12, 0, -1/2

Back

-1/2

Answer explanation

An integer is a whole number, which can be positive, negative, or zero. -5, 12, and 0 are all integers, while -1/2 is a fraction and not a whole number, making it the correct answer.

Front

What is the opposite of 10?

Back

-10

Answer explanation

The opposite of a number is its additive inverse. For 10, the opposite is -10, since 10 + (-10) = 0. Therefore, the correct answer is -10.

Front

Express an integer: a withdrawal of $100

Back

-100

Answer explanation

A withdrawal of $100 means you are taking money out of your account, which decreases your balance. Therefore, it is represented as -100, indicating a negative change in your funds.

Front

The absolute value of -6 is ___ the absolute value of 6.

Back

equal to

Answer explanation

The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of -6 is 6, and the absolute value of 6 is also 6. Thus, they are equal.

Front

Express an integer: a plane descended 3000 ft

Back

-3000

Answer explanation

The plane descended 3000 ft, indicating a decrease in altitude. Therefore, the correct integer representation is -3000, reflecting a negative change in height.

Front

| –3 |

Back

3

Answer explanation

The expression | –3 | represents the absolute value of -3, which is 3. Therefore, the correct answer is 3.

Front

Which is the greatest integer? Options: -33, -31, -28, -17

Back

-17

Answer explanation

Among the choices, -17 is the greatest integer because it is the least negative number. The other options, -33, -31, and -28, are all smaller than -17.

Front

What is the reason that absolute value is always written as a positive?

Back

Absolute value is talking about distance, distance is always measured by positive numbers.

Answer explanation

The correct choice explains that absolute value represents distance, which is always positive. Unlike other numerical values, distance cannot be negative, hence absolute value is always expressed as a positive number.