Multiplying and Dividing Integers Worksheet

Students use the sign rules to find 16 products and quotients, predict signs before computing, and write equations for three real-life situations.

Format

Only the colour PDF is ready for this resource so far. The other formats are on the way.

At a glance
Years
6–7
Pages
3
A4
Type
Worksheet
Includes
Answer key
Answer key included

Last updated

Sign rules for multiplying and dividing integers

Page 1 sets out the sign rules for multiplying and dividing integers, including how to count negatives when there are more than two factors, with worked examples such as (−6)(4)(−2) = 48. Students find eight products and eight quotients, including zero cases and (−1)(−2)(−3)(−4). On page 2 they predict signs before computing, write equations for a temperature drop, a descending elevator and account debits, and find two integers with a product of −24 and a sum of 5. The key shows how many negatives sit behind each sign.

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Students will

Learning objectives

  • Apply the sign rules to multiply and divide integers.
  • Find the sign of a product with three or more factors by counting negatives.
  • Find products and quotients that involve zero.
  • Write and solve an integer equation for a real situation.
  • Find a missing factor, divisor or dividend.
From the creator

Teaching tips

1

Sign Detective c, −120 ÷ (−8) ÷ (−3), catches students who see two divisions by negatives and call it positive. Count the negatives including the −120: three, so the answer is −5, as the key shows.

2

Items 4 and 12, (−13)(0) and 0 ÷ (−9), are both 0. Students often write −13 or −9, or mix item 12 up with dividing by zero; point to the zero rule on the sign card.

3

In situation 18 the elevator goes down, so the answer is −14 each second, not 14. Ask students what the minus sign means in each real-life answer before they write it.

Differentiation

Meet every learner.

Ways to adjust the 23 numbered items and the challenge.

Support

Sign first, then number

  • Have students write the sign of each answer next to the item before computing, using the sign table.
  • Start with the two-factor items, 1 to 5 and 9 to 15, before the longer ones.
  • Split item 16 into two lines: (−6)(10) first, then divide by −4.
On level

Teach as written

  • Both pages, with the sign said out loud before each Sign Detective value.
  • Students compare their equation for each situation with a partner's.
Extension

Find every pair

  • List every integer pair with a product of −24, then pick the pair with a sum of 5.
  • Write a five-factor Sign Detective item with a positive answer.
  • Explain why item d, six factors of −1, comes out positive.

Curriculum alignment.

Each one is checked against the official document. Where the resource covers only part of a standard, the note says so.

Australian Curriculum: Mathematics · Year 8
AC9M8N04Operations with integers

Students multiply and divide positive and negative integers, predict the sign of a product or quotient, find missing integers and write equations for three real-life situations; adding and subtracting integers and working with fractions or decimals are not covered.

Good to know.

Does it include adding and subtracting integers?

Only in the challenge, which asks for a sum. Every other item is multiplication or division.

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Used it in class? Your notes help another teacher plan.

Multiplying and Dividing Integers Worksheet · 3 pages
Multiplying and Dividing Integers Worksheet: a sign rules table with two worked examples, then eight integer products and eight quotients to find
Page 1 of 3 · Page 1
Multiplying and Dividing Integers Worksheet: sign detective rows to predict positive or negative, three real-life equation problems, missing integers and a challenge
Page 2 of 3 · Page 2
Multiplying and Dividing Integers Worksheet: answer key tables of products and quotients, sign detective results, real-life equations, missing integers and a tip
Page 3 of 3 · Page 3
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