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Back to Exercise: Apply and extend previous understandings of multiplication and division to multiply and divide rational numbers

Multiplying and Dividing Rational Numbers

Grade 7·21 problems·~30 min·Common Core Math - Grade 7·standard·7-ns-a-2
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A

Recall / Warm-Up

1

What is the value of 34×23\frac{3}{4} \times \frac{2}{3}?

2

The additive inverse of a number nn satisfies n+?=0n + ? = 0. What is the additive inverse of −53-\frac{5}{3}?

3

What is the reciprocal (multiplicative inverse) of 25\frac{2}{5}?

B

Fluency Practice

A 2-by-2 sign-rules grid showing that same-sign products are positive and different-sign products are negative, with the negative-times-negative cell highlighted.
1

Compute (−6)(−7)(-6)(-7).

2

Compute (−48)÷6(-48) \div 6.

3

Compute (−34)×89\left(-\frac{3}{4}\right) \times \frac{8}{9}. Express your answer as a fraction in simplest form.

4

Compute (−56)÷(−13)\left(-\frac{5}{6}\right) \div \left(-\frac{1}{3}\right). Express your answer as a fraction in simplest form.

5

Which expression is NOT equivalent to −74-\frac{7}{4}?

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