Review (7thG) Integer Operations

When I have the same sign, as in:

6 + 7 or -6 + (-7)

I must first ____________ the values.

• add

• subtract

• multiply

• divide

Answer explanation

In the question, both examples have the same sign: 6 + 7 (both positive) and -6 + (-7) (both negative). When adding numbers with the same sign, you simply add their absolute values. So, the correct choice is to add the values in both cases.

Aiden and Ethan are having a debate. Aiden says that the sum of (-10) and (-18) will be positive, Ethan thinks it will be negative, and Abigail believes it will be zero. Who is correct?

• Aiden

• Ethan

• Abigail

Answer explanation

The sum of (-10) + (-18) will be negative because when you add two negative numbers, the result will also be negative. In this case, (-10) + (-18) equals -28, which is a negative number.

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 of each integer because you are essentially finding the difference between the two numbers. The sign of the result will be the same as the sign of the integer with the higher absolute value, as it has a greater impact on the sum.

Olivia, Aiden, and Luna are playing a game on a number line. Olivia is at -1 and Aiden is 3 steps behind her. Where would Aiden be on the number line?

• 4

• 2

• -4

• -2

Answer explanation

On a number line, starting at -1, move 3 units to the left (adding -3) to reach -4. So, -1 + -3 equals -4, which is the correct answer.

Noah, Grace, and Isla are playing a game on a number line. If they decide to add negative numbers, which direction should they move?

• Right

• Left

Answer explanation

When adding negative numbers on a number line, you move to the left because negative numbers are located to the left of zero. As you add more negative numbers, you continue moving further left, indicating a decrease in value.

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

• Right

• Left

Answer explanation

When adding positive numbers on a number line, you move to the right. This is because the number line increases in value from left to right, so adding a positive number will result in a higher value, which is found to the right of the original position.

Isla, Lily, and Zoe are on a treasure hunt. They found a magic box that asks riddles. The box asked, 'If you add a negative number to another negative number, what type of number will you get?'

• Positive

• Negative

• Zero

• Zero Pair

Answer explanation

A negative plus a negative will equal a negative because when you add two negative numbers, their sum will be further away from zero in the negative direction. This is because both numbers have a negative value, and their combined value will be even more negative.

Will the sum of (-8) + 20 be positive, negative, or zero?

• positive

• negative

• zero

Answer explanation

The sum of (-8) + 20 can be calculated as follows: (-8) + 20 = 12. Since 12 is a positive number, the correct choice is 'positive'.

Which number is the STARTING number in the following problem:

-2 + 7

• -2

• 7

Answer explanation

In the given question, we are asked to find the starting number in the expression '-2 + 7'. The starting number is the first number in the expression, which is -2. Therefore, the correct choice is -2.

Arjun, Avery, and Kai are having a debate. Arjun says that the sum of 50 and -50 will be positive, Avery thinks it will be negative, and Kai believes it will be zero. Who is correct?

• Arjun

• Avery

• Kai

Answer explanation

The sum of 50 and -50 is zero because when you add a positive number and its negative counterpart, they cancel each other out, resulting in a sum of zero.