Complete multiplication and division sentences with integers

Key Notes:

When 2 integers have the same sign, the product is positive:

positive × positive = positive

negative × negative = positive

When 2 integers have different signs, the product is negative:

positive × negative = negative

negative × positive = negative

When 2 integers have the same sign, the quotient is positive:

positive ÷ positive = positive

negative ÷ negative = positive

When 2 integers have different signs, the quotient is negative:

positive ÷ negative = negative

negative ÷ positive = negative

Learn with an example

➡️ Type the integer that makes the following multiplication number sentence true:

 _____× -2 = 10

Decide which number makes the multiplication number sentence true.

First, ignore any negatives and find the missing number:

5 × 2 = 10

Now figure out whether the 5 should be positive or negative. Look back at the original equation. Something times negative 2 equals positive 10. Remember your integer multiplication rules: a negative times a negative equals a positive. According to this rule, the missing integer must be negative.

Try -5 and make sure it works.

-5 × -2 = 10

The number -5 gives the correct result of 10, so the answer is -5.

➡️ Type the integer that makes the following multiplication number sentence true:

-3 × ____ = 21

Decide which number makes the multiplication number sentence true.

First, ignore any negatives and find the missing number:

3 × 7 = 21

Now figure out whether the 7 should be positive or negative. Look back at the original equation. Negative 3 times something equals positive 21. Remember your integer multiplication rules: a negative times a negative equals a positive. According to this rule, the missing integer must be negative.

Try –7 and make sure it works.

–3 × –7 = 21

The number –7 gives the correct result of 21, so the answer is –7.

🔥Type the integer that makes the following multiplication number sentence true:

—–× -6 = -18.

Decide which number makes the multiplication number sentence true.

First, ignore any negatives and find the missing number:

3 × 6 = 18

Now figure out whether the 3 should be positive or negative. Look back at the original equation. Something times negative 6 equals negative 18. Remember your integer multiplication rules: a positive times a negative equals a negative. According to this rule, the missing integer must be positive.

Try 3 and make sure it works.

3 × -6 = -18

The number 3 gives the correct result of –18, so the answer is 3.

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