1) write each number as an integer
a) a temperature of twenty - three degrees celsius.
b) a temperature of fifty - one degrees celsius below freezing
c) two thousand four hundred metres above sea level.
d) a debt of three hundred thousand five hundred and fifty pound

2) which number is greater in these pair?
a) 16 465 or 33 810
b) - 1 050 or 2 110
c) - 20 135 or - 18 987

3) which number is smaller in these pair
a) - 64 or - 96
b) - 1150 or 1125
c) 22 731 or 29 001

4) arrange these numbers in ascending order:
a) 110°c, - 95°c, 28°c, - 112°c
b) 201 m, 60 m, - 18 m, - 48 m, 0 m

5) arrange these numbers in descending order
a) 391 cm, - 435 cm, 612 cm, - 284 cm

Question

1) write each number as an integer
a) a temperature of twenty - three degrees celsius.
b) a temperature of fifty - one degrees celsius below freezing
c) two thousand four hundred metres above sea level.
d) a debt of three hundred thousand five hundred and fifty pound

2) which number is greater in these pair?
a) 16 465 or 33 810
b) - 1 050 or 2 110
c) - 20 135 or - 18 987

3) which number is smaller in these pair
a) - 64 or - 96
b) - 1150 or 1125
c) 22 731 or 29 001

4) arrange these numbers in ascending order:
a) 110°c, - 95°c, 28°c, - 112°c
b) 201 m, 60 m, - 18 m, - 48 m, 0 m

5) arrange these numbers in descending order
a) 391 cm, - 435 cm, 612 cm, - 284 cm

Accepted Answer

### Question 1 #### Part (a) # Explanation: ## Step1: Understand positive temperature A temperature of twenty - three degrees celsius is a positive value. So the integer is $23$. #### Part (b) # Explanation: ## Step1: Understand below freezing (negative) Freezing point of water is $0^{\circ}C$. A temperature fifty - one degrees celsius below freezing means it is a negative value. So the integer is $- 51$. #### Part (c) # Explanation: ## Step1: Understand above sea level (positive) Two thousand four hundred metres above sea level is a positive value. $2400$ (since two thousand four hundred is written as $2400$) #### Part (d) # Explanation: ## Step1: Understand debt (negative) A debt of three hundred thousand five hundred and fifty pounds. Three hundred thousand five hundred and fifty is $300550$, and since it is a debt, the integer is $-300550$ ### Question 2 #### Part (a) # Explanation: ## Step1: Compare two positive integers We have $16465$ and $23810$. When comparing positive integers, we look at the number of digits first. Both have 5 digits. Then we compare the left - most digit. The left - most digit of $16465$ is $1$ and of $23810$ is $2$. Since $1<2$, $23810$ is greater. #### Part (b) # Explanation: ## Step1: Compare a negative and a positive integer We have $- 1050$ and $2110$. A negative number is always less than a positive number. So $2110$ is greater. #### Part (c) # Explanation: ## Step1: Compare two negative integers For negative integers, the number with the larger absolute value is smaller. The absolute value of $-20135$ is $20135$ and the absolute value of $-18987$ is $18987$. Since $20135 > 18987$, $-18987$ is greater (because $-20135<-18987$) ### Question 3 #### Part (a) # Explanation: ## Step1: Compare two negative integers For negative integers, the number with the larger absolute value is smaller. The absolute value of $-64$ is $64$ and the absolute value of $-96$ is $96$. Since $96>64$, $-96$ is smaller (because $-96 < - 64$) #### Part (b) # Explanation: ## Step1: Compare a negative and a positive integer We have $-1150$ and $1125$. A negative number is always less than a positive number. So $-1150$ is smaller. #### Part (c) # Explanation: ## Step1: Compare two positive integers We have $22731$ and $29001$. Both are positive integers. Compare the left - most digit, both have $2$ in the ten - thousands place. Then compare the thousands place. The thousands digit of $22731$ is $2$ and of $29001$ is $9$. Since $2 < 9$, $22731$ is smaller. ### Question 4 #### Part (a) # Explanation: ## Step1: Recall the order of negative and positive numbers Negative numbers are less than positive numbers. Among negative numbers, the one with the larger absolute value is smaller. The absolute value of $-112$ is $112$ and the absolute value of $-95$ is $95$. Since $112>95$, $-112 < - 95$. Then positive numbers: $28<110$. So the ascending order is $-112^{\circ}C,-95^{\circ}C,28^{\circ}C,110^{\circ}C$ #### Part (b) # Explanation: ## Step1: Recall the order of negative and positive numbers Negative numbers are less than $0$ and positive numbers. Among negative numbers, the one with the larger absolute value is smaller. The absolute value of $-48$ is $48$ and the absolute value of $-18$ is $18$. Since $48 > 18$, $-48 < - 18$. Then $0$ is between negative and positive numbers. Positive numbers: $60<201$. So the ascending order is $-48m,-18m,0m,60m,201m$ ### Question 5 #### Part (a) # Explanation: ## Step1: Recall the order of negative and positive numbers Descending order means from largest to smallest. Positive numbers are greater than negative numbers. Among positive numbers, $612>391$. Among negative numbers, the one with the smaller absolute value is greater. The absolute value of $-284$ is $284$ and the absolute value of $-435$ is $435$. Since $284<435$, $-284 > - 435$. So the descending order is $612\mathrm{cm},391\mathrm{cm},-284\mathrm{cm},-435\mathrm{cm}$ ### Final Answers (Summarized) 1. (a) $\boldsymbol{23}$; (b) $\boldsymbol{-51}$; (c) $\boldsymbol{2400}$; (d) $\boldsymbol{-300550}$ 2. (a) $\boldsymbol{23810}$; (b) $\boldsymbol{2110}$; (c) $\boldsymbol{-18987}$ 3. (a) $\boldsymbol{-96}$; (b) $\boldsymbol{-1150}$; (c) $\boldsymbol{22731}$ 4. (a) $\boldsymbol{-112^{\circ}C,-95^{\circ}C,28^{\circ}C,110^{\circ}C}$; (b) $\boldsymbol{-48m,-18m,0m,60m,201m}$ 5. (a) $\boldsymbol{612\mathrm{cm},391\mathrm{cm},-284\mathrm{cm},-435\mathrm{cm}}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Question 1

Part (a)

Step1: Understand positive temperature

Part (b)

Step1: Understand below freezing (negative)

Part (c)

Step1: Understand above sea level (positive)

Part (d)

Answer:

Step1: Recall the order of negative and positive numbers

Final Answers (Summarized)