You are given a = 5 . 6 ( 1 d . p ) . Calculate the upper and lower bounds for a 2 to 3 significant figures.

Value of a = 5 . 6 ( 1 d . p ) . The lower bound is the smallest value that would round up to the estimated value. The upper bound is the smallest value that would round up to the next estimated value. The real value will be closest to 5 . 6 if it lies between the lower bound of 5 . 55 and the upper bound of 5 . 65 . 5 . 55 ≤ 5 . 6 < 5 . 65 ⇒ upper bound of a × upper bound for a = 5 . 65 × 5 . 65 = 31 . 9 ⇒ lower bound of b x lower bound of b = 5 . 55 2 = 30 . 8 ∴ 30 . 8 ≤ a 2 < 31 . 9

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Earn 100

The number $132$ has been rounded to the degree of accuracy nearest to $3 s f$ . Find the upper and lower bounds in each case.

Important Questions on Understanding Measurement

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 13 - Understanding Measurement>Exercise 13.4>Q 3

The number $0.134$ has been rounded to the degree of accuracy nearest to $3 s f$ . Find the upper and lower bounds in each case.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 13 - Understanding Measurement>Exercise 13.4>Q 4

What limits do the actual mass of the lion lie if Anne estimates that the mass of a lion is

300 k g

. Her estimate is correct to the nearest

100 k g

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 13 - Understanding Measurement>Exercise 13.4>Q 5

In a race, Nomatyala ran

100 m

15.3 s e c o n d s

. The distance is correct to the nearest metre and the time is correct to one decimal place. Write down the lower and upper bounds of the actual distance Nomatyala ran.

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 13 - Understanding Measurement>Exercise 13.4>Q 5

In a race, Nomatyala ran

100 m

15.3 s e c o n d s

. The time is correct to one decimal place. Write down the lower and upper bounds of the actual time taken.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 13 - Understanding Measurement>Exercise 13.4>Q 6

The length of a piece of thread is

4.5 m

to the nearest

10 c m

. The actual length of the thread is

L c m

. Find the range of possible values for

L

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Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 13 - Understanding Measurement>Exercise 13.5>Q 1

You are given

a = 5.6 (1 d . p)

. Calculate the upper and lower bounds for

a^{2}

3

significant figures.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 13 - Understanding Measurement>Exercise 13.5>Q 1

You are given

a = 5.6 (1 d . p), b = 24.1 (1 d . p), c = 145 (3 s . f), d = 0.34 (2 d . p)

. Calculate the upper and lower bounds for

b^{3}

3

significant figures.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 13 - Understanding Measurement>Exercise 13.5>Q 1

You are given

a = 5.6 (1 d . p), b = 24.1 (1 d . p), c = 145 (3 s . f), d = 0.34 (2 d . p)

. Calculate the upper and lower bounds for

c d^{3}

3

significant figures.

The number 132 has been rounded to the degree of accuracy nearest to 3 sf . Find the upper and lower bounds in each case.

Important Questions on Understanding Measurement

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The number $132$ has been rounded to the degree of accuracy nearest to $3 s f$ . Find the upper and lower bounds in each case.