Minds-On-->Number Strand Diagnostic

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...

• POSITIVE

• NEGATIVE

• DEPENDS ON WHICH NUMBER IS LARGER.

Answer explanation

When multiplying or dividing a NEGATIVE and NEGATIVE number, the result will be POSITIVE. This is because two negatives multiplied or divided cancel each other out, resulting in a positive value.

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

• Positive

• Negative

• Depends on which is bigger.

Answer explanation

When multiplying or dividing a NEGATIVE and POSITIVE number, the result will be Negative. This is because a negative number multiplied or divided by a positive number always results in a negative value.

-6-2

• 8

• -4

• 4

• -8

Answer explanation

To find the answer, subtract 2 from -6 which gives -8. Therefore, the correct answer is -8.

-8+(-2)

• -6

• -10

• 10

• 6

Answer explanation

-8 + (-2) = -10. When adding two negative numbers, you add their absolute values and keep the negative sign.

Emily is a diver. Today she descended to a depth of 40 feet below sea level. Then she swam up 10 feet and descended another 4 feet. How far below sea level is Emily now?

• -34 feet

• -54 feet

• 54 feet

• -26 feet

Answer explanation

Emily descended 40 feet, then swam up 10 feet and descended 4 feet. The total change is 40 - 10 - 4 = -34 feet below sea level. Therefore, Emily is now 34 feet below sea level.

-30/-10=

• -30

• -3

• 3

• 30

Answer explanation

To solve -30/-10, we divide -30 by -10 which gives us 3. Therefore, the correct answer is 3.

Solve:  (-15) + 20(-3) - 10

• -25

• -85

• 5

• -55

Answer explanation

To solve the expression, start by multiplying 20 by -3 to get -60. Then, add -15 and -60 to get -75. Finally, subtract 10 from -75 to get the final result of -85.

Jack and Jill are going up a hill. They walk 15 feet up. Then Jack drops the bucket so they have to chase it 12 feet down. After getting the bucket, they sprint up the hill 5 feet because of a swarm of bees. Jill then decides she is too tired to make the rest of the trip. How far did they make it?

• 32 feet

• 8 feet

• 22 feet

• -2 feet

Answer explanation

They walked up 15 feet, then down 12 feet, then up 5 feet, totaling 8 feet. Jill stopped there, so they made it 8 feet.

What percent is represent by the shaded area?

• 75%

• 5%

• 25%

• 20%

Answer explanation

The shaded area represents 25% of the total, so the correct answer is 25%.

What is the decimal for 2%

• 0.2

• 0.02

• 0.002

• 2.0

• 0.20

Answer explanation

The correct decimal for 2% is 0.02 because to convert a percentage to a decimal, you move the decimal point two places to the left.