Page 4 - 新思维数学活动用书7 样章

How to use this book
H
ow to use this book
How to use this book

This Workbook provides questions for you to practise what you have learned in class. There is a
1 Integers
unit to match each unit in your Learner’s Book. Each topic is divided into three parts:

• Focus: these questions help you to master the basics

• Practice: these questions help you to become more confident in using
1.1 Adding and subtracting integers
what you have learned
• Challenge: these questions will make you think very hard.

Worked example 1.1 You will also find these features: Key words

integers
Work out: Words you need to know. 1 Integers
a −5 + 9 b 2 − −5 inverse
negative integers
Answer number line 1.2 Multiplying and dividing integers
a Draw a number line if you need to. 11 Copy and complete this multiplication grid.
1.1 Adding and subtracting integers
6
Start at −5. Move 9 places to the right. × positive integers
4
−30
You finish at 4. Step-by-step examples showing how Worked example 1.1 Key words
−5 + 9 = 4
−32
b To subtract −5, add the inverse, 5. Challenge integers
Work out:
to solve a problem.
2 − −5 = 2 + 5 = 7 12 In these diagrams, the integer in a square is the product of the integers in the inverse
b 2 − −5
a −5 + 9
circles next to it. negative integers
Answer
a –3 5 b 10 –2 number line
a Draw a number line if you need to.
Start at −5. Move 9 places to the right. positive integers
Exercise 1.1 You finish at 4. −5 + 9 = 4
b To subtract −5, add the inverse, 5. –3 5
–2
6
i 2 − −5 = 2 + 5 = 7
Copy each diagram and fill in the squares.
Focus Questions marked with this symbol ii Add the numbers in the squares in each diagram.
13 a This diagram is similar to the diagrams in Question 10. –12
1 Add these positive and negative integers. Exercise 1.1
help you to practise thinking and
Copy and complete the diagram. All the numbers are integers.
b Is there more than one solution? Have you found all of the solutions?
d −5 + 10
a −3 + −4 b 6 + −5 c −7 + 2 14 a Use the integers 3, 4 and −5 to complete this calculation. –15 –8
Focus
working mathematically.
(
) ×
+
= −8
2 Subtract these positive and negative integers. b What is the largest answer you can get when you put the integers 2, –10
1 Add these positive and negative integers.
a −3 + −4
d −5 − −6
a 4 − 6 b −6 − 3 c 1 − −8 −4 and 7 in this calculation? b 6 + −5 c −7 + 2 d −5 + 10
2 Subtract these positive and negative integers.
) ×
+
(
a 4 − 6
b −6 − 3
3 Copy and complete this addition table. Give evidence to explain your answer. c 1 − −8 d −5 − −6
3 Copy and complete this addition table.
15 a The product of two integers is −20. Find the largest possible value of the sum of the
two integers.
+ 4 −5 b The product of two integers is −30. Find the largest possible sum of the two integers.
−5
4
+
c Can you generalise the result of part a and part b?
2
2
−6
−6 4 Work out:
a 20 + −5 b −10 + −15 c −2 + −13 d −3 + 20
4 Work out:
a 20 + −5 b −10 + −15 c −2 + −13 d −3 + 20 3
9
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