Add integers

Which addition expression matches the problem shown on the number line?

• 3 + -4

• -4 + 3

• 7 + -4

• -4 + 7

Answer explanation

The problem on the number line indicates starting at -4 and moving 7 units to the right, which is represented by the expression -4 + 7. This correctly reflects the movement and final position on the number line.

When adding negative numbers on a number line, you move to the ____________.

• Right

• Left

Answer explanation

When adding negative numbers on a number line, you move to the left. This is because negative values represent a decrease, so you shift leftward from your current position.

What problem is modeled on the number line above?

• 5 + 4 = -1

• -5 + 4 = -1

• 5 + (-4) = -1

• -1 + (-4) = -5

Answer explanation

The number line shows the operation -5 + 4, which results in -1. This matches the correct choice, as moving 4 units to the right from -5 lands on -1.

Solve.

9 + 6 + (-6)

• -9

• 21

• -21

• 9

Answer explanation

To solve 9 + 6 + (-6), first add 9 and 6 to get 15. Then, add -6, which subtracts 6 from 15, resulting in 9. Thus, the correct answer is 9.

Solve.

9 + (-17) + (-9)

• 9

• -9

• -17

• 17

Answer explanation

To solve 9 + (-17) + (-9), first combine 9 and -17 to get -8. Then add -9 to -8, resulting in -17. Thus, the correct answer is -17.

When adding integers with the same sign, you must ________ the absolute value of each integer and keep the sign.

• add

• subtract

• multiply

• divide

Answer explanation

When adding integers with the same sign, you must add their absolute values and keep the sign. For example, adding -3 and -5 results in -8, as you add 3 and 5 to get 8, then apply the negative sign.

When adding integers with different signs, you must __________ the absolute value of each integer and keep the sign of the integer with the higher value.

• add

• subtract

• multiply

• divide

Answer explanation

When adding integers with different signs, you must subtract the absolute values. The result takes the sign of the integer with the higher absolute value, making 'subtract' the correct choice.

When adding decimals, you must always....

• Ignore the decimal point

• Line up the decimals

• Line up the numbers

• Subtract the numbers

Answer explanation

When adding decimals, it's essential to line up the decimal points to ensure accurate addition. This keeps the values in the correct place value, allowing for proper calculation.

When adding integers, if the values have different signs, then ​ (a)   ​ and ​ (b)   ​ ​

• subtract

• keep the sign of the bigger absolute value.

• keep the sign of the first integer

• add

Answer explanation

When adding integers with different signs, you subtract the smaller absolute value from the larger one. The result takes the sign of the integer with the larger absolute value, hence 'keep the sign of the bigger absolute value'.

8 + (-7)

Answer explanation

To solve 8 + (-7), we add 8 and -7. This is the same as 8 - 7, which equals 1. However, the correct answer is 0, indicating a mistake in the answer choices. The correct calculation should yield 1.