# MULTIPLYING INTEGERS USING A NUMBER LINE WORKSHEET

Problem 1 :

Henry made three withdrawals of \$2 each from his savings account. What was the change in his balance ?

Problem 2 :

Lisa plays a video game in which she loses points. She loses 3 points 2 times. What is the change in her score ?

Problem 3 :

What do you notice about the product of two integers with different signs ?

Problem 1 :

Henry made three withdrawals of \$2 each from his savings account. What was the change in his balance ?

Solution :

To know the change in balance, we have to find 3(-2).

Making withdrawal from account will reduce the balance. To indicate the reduce in balance, we use negative sign.

Since the withdrawal is made of \$2, we can use -2.

To graph -2, we have to start at 0 and move 2 units to the left.

3(-2) means (-2) + (-2) + (-2)

To graph 3(-2), start at 0 and move 2 units to the left 3 times.

(Here, we move to the left, because of the negative sign we have with 2)

From 0, when we move 2 units to the left 3 times, we get a total move of 6 units.

The result is -6.

Hence, the change in Henry’s balance was -\$6.

Problem 2 :

Lisa plays a video game in which she loses points. She loses 3 points 2 times. What is the change in her score ?

Solution :

To know the change in balance, we have to find 2(-3).

Loosing points will reduce the existing score. To indicate the reduce in score, we use negative sign.

Since she is loosing 3 points, we can use -3.

To graph -3, we have to start at 0 and move 3 units to the left.

2(-3) means (-3) + (-3)

To graph 2(-3), start at 0 and move 3 units to the left 2 times.

(Here, we move to the left, because of the negative sign we have with 3)

From 0, when we move 3 units to the left 2 times, we get a total move of 6 units.

The result is -6.

Hence, the change in Lisa's score is -6.

Problem 3 :

What do you notice about the product of two integers with different signs ?

Solution :

When we find the product of two integers with different signs, always the result is negative.

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