M6 6.CE.2 Review- Integer Operations

Answer explanation

To calculate -7 times 4, multiply the absolute values: 7 times 4 equals 28. Since one factor is negative, the result is negative: -28. Thus, the correct answer is -28.

Tags

VA.6.CE.2.b

Answer explanation

To simplify -|3 - 7|, first calculate |3 - 7| = | -4 | = 4. Then apply the negative sign: -4. Thus, the simplified expression is -4, which matches the correct answer.

Tags

VA.6.CE.2.c

William has a debt of $12, and he wants to pay it off in 3 equal payments. How much will he pay in each payment?

Answer explanation

To find the amount of each payment, divide the total debt of $12 by 3. This gives $12 ÷ 3 = $4. Since he is paying off a debt, each payment is -$4, indicating money going out.

Tags

VA.6.CE.2.a

Answer explanation

To solve -9 - (-3), first change the subtraction of a negative to addition: -9 + 3. This equals -6, which is the correct answer.

Tags

VA.6.CE.2.b

Answer explanation

To simplify | -8 | + 3, first calculate the absolute value: | -8 | = 8. Then add 3: 8 + 3 = 11. Therefore, the correct answer is 11.

Tags

VA.6.CE.2.c

Determine the solution to the problem: A submarine is at a depth of 150 meters below sea level. It ascends 45 meters. What is its new depth?

Answer explanation

The submarine starts at -150 meters. After ascending 45 meters, its new depth is -150 + 45 = -105 meters. Therefore, the correct answer is 105 meters below sea level.

Tags

VA.6.CE.2.d

Answer explanation

To calculate -5 times -2, we multiply the two negative numbers. The product of two negative numbers is positive, so -5 × -2 = 10. Therefore, the correct answer is 10.

Tags

VA.6.CE.2.a

Which addition equation matches the problem modeled below?

• -6 + (-9) = 3

• -6 + 9 = 3

• -6 + 3 = 9

• 9 + (-3) = -6

Answer explanation

The problem indicates adding -6 and 9, which results in 3. Thus, the correct equation is -6 + 9 = 3, as it accurately represents the relationship shown in the model.

Tags

CCSS.7.NS.A.1B

• -15 ÷ (-3) = -5
• 15 ÷ 3 = 5
• -15 ÷ 3 = 5
• -15 ÷ 3 = -5

Answer explanation

15 negatives split into 3 groups equals 5 negatives in each group.

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

• -5 + 2

• 5 - 2

• 5 + 2

• -5 - 2

Answer explanation

The picture shows 5 negatives and 2 positives.

Tags

CCSS.7.NS.A.1C