# HSPT Math : Concepts

## Example Questions

### Example Question #682 : Hspt Mathematics

Explanation:

When you multiple two negative number, you will get a positive number.

So that means .

But once you multiple a positive and negative, you will end with a negative.

So the final answer will be .

### Example Question #1 : Describe Situations In Which Opposite Quantities Combine To Make 0: Ccss.Math.Content.7.Ns.A.1a

Compute the following:

Explanation:

Convert all the double signs to a single sign before solving. Remember, two minus (negative) signs combine to form a plus (positive) sign, and a plus (positive) sign and a minus (negative) sign combine to form a minus (negative) sign.

### Example Question #91 : Arithmetic

Explanation:

The rules for adding integers with the same sign are:

Add the absolute value of the two numbers. Remember the absolute value of a negative number is non-negative.

Then, use the sign of the numbers.  In this case both numbers are negative.

Therefore,

You can also think of this is that if you were to plot  on the number line. and move spaces to the left of, you would end up on -62.

### Example Question #92 : Negative Numbers

Explanation:

The rules for the subtraction of integers is:
Change the sign on the integer that is to be subtracted.

If both signs are positive, then the answer will be positive.

If both signs are negative, then the answer will be negative.

Therefore:

### Example Question #92 : Arithmetic

Explanation:

The rule for subtracting a negative number from a negative number change the minus sign and the negative sign to an addition or plus sign. Then add.

Take the absolute value of both numbers and subtract. Take the sign of the higher absolute value.

The answer is positive because the higher number, 9 is positive.

### Example Question #93 : Arithmetic

One night, the temperature was  F.  By the next afternoon, the temperature increased .  What was the new temperature?

Explanation:

Take the absolute value of the two numbers:

Subtract the two numbers together and take the sign of the number with the higher absolute value:

### Example Question #94 : Arithmetic

John's account is overdrawn by . What will his balance be if he deposits and then writes a check for  to pay a bill?

Explanation:

If John's bank account is overdrawn, he is starting with a negative balance or negative amount in his account. To that he is making a deposit, which is an increase (addition). Then he is writing a check, which is a withdrawal (subtraction).

The equation would be written:

There are a couple of different ways to approach solving this.  This is one way.

Take the absolute value of each:

Then subtract:

Because the higher absolute value  is positive, then take the sign of that number in the answer.

### Example Question #692 : Hspt Mathematics

Explanation:

The rule for multiplying integers with opposite signs is:
A negative times a positive is a negative.

### Example Question #91 : Negative Numbers

Explanation:

Whether positive or negative, if the signs are the same, the answer when multiplying is a positive number.