2tier-foundation for Edexcel A by Brian Speed, Keith Gordon, Kevin Evans

By Brian Speed, Keith Gordon, Kevin Evans

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So, the new temperature is –3°C. qxd 14/03/06 14:30 Page 57 CHAPTER 3: NEGATIVE NUMBERS EXAMPLE 2 The temperature drops five degrees from –4 °C. What does it drop to? To put it simply, the problem is –4 – 5, which is equal to –9. So, the new temperature is –9 °C. –9 –4 °C –10 –5 5 0 10 EXERCISE 3C Use a thermometer scale to find the answer to each of the following. a 2 °C – 4 °C = b 4 °C – 7 °C = c 3 °C – 5 °C = d 1 °C – 4 °C = e 6 °C – 8 °C = f 5 °C – 8 °C = g –2 + 5 = h –1 + 4 = i –4 + 3 = j –6 + 5 = k –3 + 5 = l –5 + 2 = m –1 – 3 = n –2 – 4 = o –5 – 1 = p 3–4= q 2–7= r 1–5= s –3 + 7 = t 5–6= u –2 – 3 = v 2–6= w –8 + 3 = x 4–9= Answer each of the following without the help of a thermometer scale.

EXERCISE 3A Copy and complete each of the following. If +£5 means a profit of five pounds, then …… means a loss of five pounds. If +£9 means a profit of £9, then a loss of £9 is …… . If –£4 means a loss of four pounds, then +£4 means a …… of four pounds. If +200 m means 200 metres above sea level, then …… means 200 metres below sea level. If +50 m means fifty metres above sea level, then fifty metres below sea level is written …… . If –100 m means one hundred metres below sea level, then +100 m means one hundred metres …… sea level.

4 13/03/06 14:17 Page 31 Equivalent fractions and cancelling In this section you will learn how to: ● create equivalent fractions ● cancel fractions, where possible Key words denominator lowest terms numerator Equivalent fractions are two or more fractions that represent the same part of a whole. EXAMPLE 1 Complete these statements. a 3 4 ×4 □ ➞ × 4 = 16 b 2 □ = 5 15 – is an equivalent fraction to –34 . a Multiplying the numerator by 4 gives 12. This means –12 16 b To change the denominator from 5 to 15, you multiply by 3.