Reading And Ordering Numbers

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Place Value

Each digit in a number has a value depending on its position (place).
Each place is ten times larger than the place to its right.
For whole numbers, places are: ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, etc.
For decimals, places to the right of the decimal point are: tenths, hundredths, thousandths, etc.
To read large numbers, group digits in threes from the right (e.g., 12 345 678 is twelve million, three hundred and forty-five thousand, six hundred and seventy-eight).
To read decimals, say the whole number part, then "point", then each digit separately (e.g., 36.952 is thirty-six point nine five two).

Reading and Writing Numbers in Words and Figures

To write a number in words, use place value names and commas between groups (e.g., 60 025 → sixty thousand and twenty-five).
To write a number in figures, write digits for each place value (e.g., fifty-three thousand and thirty-five → 53 035).
Remember to include zeros for missing place values (e.g., forty thousand three hundred → 40 300).
Common mistakes: forgetting "and" for hundreds (e.g., 1850 → one thousand, eight hundred and fifty).

Negative Numbers

Negative numbers are less than zero and are written with a minus sign (e.g., -8).
They are read as "negative eight" or "minus eight".
Adding a negative is the same as subtracting the positive: 7 + (-3) = 7 - 3 = 4.
Subtracting a negative is the same as adding the positive: 5 - (-3) = 5 + 3 = 8.
Multiplying or dividing two numbers with the same sign gives a positive result.
Multiplying or dividing two numbers with different signs gives a negative result.
Negative numbers are used in real life for temperature (below zero) and debt (money owed).

Ordering Numbers

Ascending order means smallest to largest (most negative first).
Descending order means largest to smallest (most positive first).
To compare numbers, write them with the same number of decimal places and line up place-value columns.
For negative numbers, remember that -14 is less than -8 (larger digit means smaller number).
When ordering a mix of positives and negatives, order each group separately then combine (negatives first, then positives).

Working with Negative Numbers in Context

Temperature changes: a rise of 6°C from -4°C gives 2°C; a fall of 5°C from 3°C gives -2°C.
Difference in temperature: subtract the lower temperature from the higher (e.g., difference between -6°C and 5°C is 5 - (-6) = 11°C).
Debt: if you owe $200 and borrow $400 more, total debt is -$600 (i.e., -200 + (-400) = -600).
Paying off debt: if you owe $300 and pay $200, you now owe -$100 (i.e., -300 + 200 = -100).

Common Exam Question Types

Write a number in words (e.g., 11 678 → eleven thousand, six hundred and seventy-eight).
Write a number in figures (e.g., six hundred and two thousand, nine hundred and ninety-five → 602 995).
Find the value of a digit (e.g., the 7 in 570 296 is worth 70 000).
Calculate temperature differences and changes (e.g., from -3°C to 5°C difference is 8°C).
Order a list of numbers including decimals and negatives (e.g., -2.4, -1.05, 0.58, 1.05).

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1.Write 60 025 in words.
Easy
- ASixty thousand and twenty-five
- BSix thousand and twenty-five
- CSixty thousand two hundred and five
- DSix hundred thousand and twenty-five
2.Write 2067 correct to the nearest hundred.
Easy
- A2100
- B2000
- C2070
- D2060
3.Write down the value of the 7 in the number 570296.
Easy
- A70000
- B7000
- C700
- D70
4.Write in figures the number fifty-three thousand and thirty-five.
Easy
- A53035
- B530035
- C5035
- D530305
5.Write six hundred and seven thousand and twenty-one in figures.
Easy
- A607021
- B670021
- C607210
- D67021
6.Write down the number that is 7 more than -38.
Easy
- A-31
- B-45
- C31
- D45
7.Write seventeen thousand and seventeen in figures.
Easy
- A17017
- B1717
- C170017
- D17070
8.Write 15 060 in words.
Easy
- AFifteen thousand and sixty
- BFifteen thousand six hundred
- CFifteen thousand and sixteen
- DFifty thousand and sixty

Thêm câu hỏi

9.Write the number forty thousand three hundred in figures.
Easy
- A40300
- B400300
- C43000
- D4000300
10.Write 30682 in words.
Easy
- AThirty thousand six hundred and eighty-two
- BThree thousand six hundred and eighty-two
- CThirty thousand six hundred and twenty-eight
- DThree hundred and six thousand eight hundred and two
11.Write the number six hundred and two thousand, nine hundred and ninety five in figures.
Easy
- A602995
- B620995
- C602959
- D6002995
12.Write the number 1850 in words.
Easy
- AOne thousand eight hundred and fifty
- BOne thousand eight hundred and fifteen
- CEighteen hundred and fifty
- DOne thousand eight hundred five
13.Use each card once and make the largest odd number. Cards: 3, 2, 7, 9
Medium
- A9723
- B9732
- C7923
- D9273
14.In a particular year, the lowest temperature recorded at Rovaniemi in Finland was -28.1°C. The highest temperature recorded that year was 57.8°C more than this. Calculate the highest temperature.
Medium
- A29.7°C
- B85.9°C
- C-85.9°C
15.Write one hundred and twenty thousand and twenty in figures.
Easy
- A120020
- B120200
- C1200020
- D122000
16.Write the number 40 302 in words.
Easy
- Aforty thousand, three hundred and two
- Bfour thousand, three hundred and two
- Cforty thousand, thirty two
- Dfour hundred and three thousand and two
17.Write in figures: two hundred and five thousand and seventy.
Easy
- A205 070
- B250 070
- C205 700
- D200 570
18.What is the value of the digit 9 in the number 3 942 106?
Easy
- A900 000
- B90 000
- C9 000
- D900
19.Write 7 605 correct to the nearest hundred.
Easy
- A7 600
- B7 700
- C7 000
- D7 610
20.Write down the number that is 8 more than -15.
Easy
- A-7
- B-23
- C7
- D23
21.Which of these numbers is the smallest?
Easy
- A-8
- B-3
- C0
- D2
22.The temperature at 0600 was -5°C. By 1200 it had risen by 9°C. What was the temperature at 1200?
Medium
- A4°C
- B-14°C
- C14°C
- D-4°C
23.Work out the difference in temperature between -7°C and 3°C.
Medium
- A10°C
- B-10°C
- C4°C
- D-4°C
24.Write the number four hundred and eighteen thousand and seventy-two in figures.
Easy
- A418 072
- B481 072
- C418 720
- D41 872
25.Arrange these numbers in ascending order: -12, 3, -5, 0, 8.
Medium
- A-12, -5, 0, 3, 8
- B-5, -12, 0, 3, 8
- C0, -5, -12, 3, 8
- D8, 3, 0, -5, -12
26.The temperature at midnight was -8°C. By 6 am the temperature had fallen by 3°C. What was the temperature at 6 am?
Easy
- A-11°C
- B-5°C
- C11°C
- D5°C
27.Write the number 9 040 003 in words.
Easy
- Anine million, forty thousand and three
- Bnine million, four hundred thousand and three
- Cnine million, forty thousand and thirty
- Dnine hundred and four thousand and three
28.The temperature on Monday was -6°C. On Tuesday it was 4°C lower than on Monday. On Wednesday it was 7°C higher than on Tuesday. Find the temperature on Wednesday.
Medium
- A-3°C
- B-17°C
- C5°C
- D-9°C
29.The lowest temperature recorded at a station is -45°C. The highest temperature is 72°C more than this. What is the highest temperature?
Medium
- A27°C
- B117°C
- C-27°C
- D72°C
30.Write the number one million three hundred and two thousand five hundred and ninety-six in figures.
Medium
- A1 302 596
- B1 320 596
- C1 302 569
- D13 025 96
31.Arrange these numbers in descending order: -2.5, 3.1, -0.8, 1.6, -3.2.
Medium
- A3.1, 1.6, -0.8, -2.5, -3.2
- B-3.2, -2.5, -0.8, 1.6, 3.1
- C3.1, 1.6, -2.5, -0.8, -3.2
- D1.6, 3.1, -0.8, -2.5, -3.2
32.What is the value of the digit 6 in the number 3 642 108?
Easy
- ASix hundred thousand
- BSixty thousand
- CSix thousand
- DSix hundred
33.Write the number four hundred and five thousand and sixty in figures.
Easy
- A405 060
- B450 060
- C405 600
- D450 600
34.Write 20 304 in words.
Easy
- ATwenty thousand three hundred and four
- BTwo thousand three hundred and four
- CTwenty thousand thirty four
- DTwo hundred thousand three hundred and four
35.What is the value of the digit 2 in the number 5.621?
Medium
- A2 thousandths
- B2 hundredths
- C2 tenths
- D2 ones
36.Work out the difference in temperature between -8°C and 3°C.
Easy
- A11°C
- B5°C
- C-5°C
- D-11°C
37.The temperature at 0600 was -4°C. By 1200 it had risen by 11°C. What was the temperature at 1200?
Easy
- A7°C
- B15°C
- C-15°C
- D-7°C
38.Arrange these numbers in ascending order: -8, 2, -3, 0, 5.
Easy
- A-8, -3, 0, 2, 5
- B-3, -8, 0, 2, 5
- C0, -3, -8, 2, 5
- D5, 2, 0, -3, -8
39.What is the value of the digit 9 in the number 0.00945?
Medium
- A9 thousandths
- B9 hundredths
- C9 ten-thousandths
- D9 hundred-thousandths
40.The temperature at midnight was -10°C. By 6 am the temperature had fallen by 4°C. What was the temperature at 6 am?
Easy
- A-14°C
- B-6°C
- C14°C
- D6°C
41.What is the place value of the digit 4 in the number 3 042 617?
Easy
- AFour hundred thousand
- BForty thousand
- CFour thousand
- DFour hundred
42.Which of the following numbers is the smallest?
Easy
- A-3
- B0
- C2
- D-5
43.What is the value of the digit 5 in the number 0.0056?
Medium
- AFive tenths
- BFive hundredths
- CFive thousandths
- DFive ten-thousandths
44.Arrange these numbers in ascending order: -0.3, 0.03, -0.03, 0.3
Medium
- -0.3
- -0.03
- 0.03
- 0.3
45.The number 0.009 has a 9 in the thousandths place.
Easy
True or false?
46.The temperature at 8 pm was -3°C. By midnight it had fallen by 5°C. What was the temperature at midnight?
Easy
- A-8°C
- B2°C
- C8°C
- D-2°C
47.Which of the following numbers are less than -1.5? (Select all that apply)
Medium
- A-2
- B-1.4
- C-1.6
- D-0.9
- E-3
48.Match each number in words to its correct figure.
Medium
- three hundred and five thousand and twelve
- four million six hundred thousand
- seven hundred thousand and forty
- two million three hundred and five
- 2 300 005
- 4 600 000
- 700 040
- 305 012
49.Arrange these numbers in ascending order (smallest first).
Medium
- -0.6
- 0.06
- -0.06
- 0.6
- -0.006
50.Which of the following numbers are greater than -1.2? (Select all that apply)
Medium
- A-2.1
- B-0.9
- C-1.5
- D0
- E-1.2
51.Write the number three hundred and six thousand and forty-nine in figures.
Easy
52.Work out (-12) + (-7).
Easy
53.Write the number 4 050 003 in words.
Easy
54.Write the missing numbers in words.
Medium
The number 2.307 is read as two point ____ ____ ____. (write each digit as a word)
55.Calculate (-8) - (-3).
Easy
56.Write the missing numbers in figures.
Medium
a) Five thousand and thirty: ____ b) Eight hundred thousand and nine: ____
57.The temperature at 9 pm was -7°C. By 6 am the next morning, the temperature had fallen by 8°C. What was the temperature at 6 am?
Medium
58.Write down the value of the digit 9 in the number 0.00945.
Medium
59.Write the number three hundred and six thousand and forty-nine in figures.
Easy
- A275444
- B367259
- C336654
- D306049
60.Work out (-12) + (-7).
Easy
- A-17
- B-18
- C-19
- D-20
61.Calculate (-8) - (-3).
Easy
- A-5
- B-4
- C-6
- D-3
62.The temperature at 9 pm was -7°C. By 6 am the next morning, the temperature had fallen by 8°C. What was the temperature at 6 am?
Medium
- A-16 °C
- B-13 °C
- C-15 °C
- D-14 °C

Ghi chú ôn tập

## Reading & Ordering Numbers ### Place Value - Each digit's value depends on its position (place). Each place is 10× larger than the place to its right. - **Reading large numbers**: Group digits in threes from the right (units). E.g., 54 687 321 is fifty-four million, six hundred and eighty-seven thousand, three hundred and twenty-one. - **Decimals**: Whole number part left of decimal point; decimal part read digit by digit. E.g., 36.952 = thirty-six point nine five two. - **Key**: Write numbers with aligned place-value columns to compare. ### Negative & Directed Numbers - Negative numbers are less than zero, indicated by a minus sign (-). - **Rules**: - Same signs → positive: (-12) ÷ (-4) = 3; (-6) × (-4) = 24 - Different signs → negative: (-12) ÷ 4 = -3; 6 × (-4) = -24 - Subtracting a negative = adding the positive: 5 - (-3) = 5 + 3 = 8 - Adding a negative = subtracting the positive: 7 + (-3) = 7 - 3 = 4 - **Real-life**: Temperature (e.g., 3°C - 5°C = -2°C), money/debt. ### Ordering Numbers - **Ascending**: smallest to largest (most negative first). **Descending**: largest to smallest. - **Tip**: Rewrite numbers with same number of decimal places and align columns. For negatives, larger absolute value means smaller number (e.g., -14 < -8). - **Mixed positives and negatives**: Order each group separately, then combine. ### Common Exam Questions - Write numbers in words and figures (e.g., 60 025 = sixty thousand and twenty-five). - Find the value of a digit (e.g., in 570 296, the 7 is 7 000). - Work with temperatures: differences, falls, rises (e.g., -6°C to 5°C difference = 11°C). - Order numbers including decimals and negatives.

Place value: The value of a digit depending on its position in a number; each place is ten times larger than the place to its right.
Negative number: A number less than zero, indicated by a minus sign (-); also called a directed number.
Directed number: A number that can be positive or negative; often used interchangeably with negative number.
Ascending order: Numbers arranged from smallest to largest (increasing order).
Descending order: Numbers arranged from largest to smallest (decreasing order).
Difference: The result of subtracting one number from another; for temperatures, the absolute difference.

Thẻ ghi nhớ

Write 60 025 in words.

Sixty thousand and twenty-five.

Write 2067 in words.

Two thousand and sixty-seven.

Write 2067 correct to the nearest hundred.

2100

Write down the value of the 7 in the number 570296.

70 000 (seventy thousand)

Write in figures the number fifty-three thousand and thirty-five.

53 035

Write six hundred and seven thousand and twenty-one in figures.

607 021

Write down the number that is 7 more than -38.

-31

Write 11 678 in words.

Eleven thousand six hundred and seventy-eight.

Write 11 678 correct to the nearest 100.

11 700

Write seventeen thousand and seventeen in figures.

17 017

Write 15 060 in words.

Fifteen thousand and sixty.

Write the number forty thousand three hundred in figures.

40 300

Write 30682 in words.

Thirty thousand six hundred and eighty-two.

Write the number six hundred and two thousand, nine hundred and ninety-five in figures.

602 995

Write the number 1850 in words.

One thousand eight hundred and fifty.

Using the digits 3, 2, 7, 9 each once, make the largest odd number.

9723

The lowest temperature recorded was -28.1°C. The highest was 57.8°C more. Calculate the highest temperature.

29.7°C

Write one hundred and twenty thousand and twenty in figures.

120 020

Write two hundred thousand and seventeen in figures.

200 017

Work out the difference in temperature between -6°C and 5°C.

11°C

Find the difference in temperature between the fridge (4°C) and the cool box (-3°C).

7°C

Find the difference in temperature between the cool box (-3°C) and the freezer (-19°C).

16°C

The cold room is 5°C lower than the fridge (4°C). Find the cold room temperature.

-1°C

Write the number four hundred and eighteen thousand and seventy-two in figures.

418 072

At midday temperature is 5°C. By midnight it falls by 7°C. Find the midnight temperature.

-2°C

Write down the temperature that is 7°C below -3°C.

-10°C

Work out the difference in temperature between -4°C and 4°C.

8°C

On Monday midday is 4°C and midnight is -3°C. Find the difference.

7°C

On Wednesday midday is -1°C. By 7pm it falls by 4°C. Find the temperature at 7pm.

-5°C

The temperature at 0700 is -3°C, which is 11°C higher than at 0100. Find the temperature at 0100.

-14°C

Average temperature at North Pole is -23°C in January and -11°C in March. Find the difference.

12°C

Average temperature in July is 28°C higher than in March (-11°C). Find the July average.

17°C

On Wednesday, max temperature 15°C, min -4°C. Find the difference.

19°C

Minimum on Saturday was 2°C higher than Monday's minimum (-5°C). Find Saturday's minimum.

-3°C

The range of temperatures for the week was 23°C. The maximum was 15°C (Wednesday). Find the minimum on Sunday.

-8°C

Which city had the biggest temperature difference between midnight and 3pm? (Sydney: 21 to 28, Oslo: -3 to 1, Toronto: -18 to -8, Seoul: -5 to 4).

Toronto with a difference of 10°C.

Moscow midnight -11°C, by 3pm increased by 5°C. Find the 3pm temperature.

-6°C

Monday -7°C, Tuesday 5°C lower, Wednesday 8°C higher than Tuesday. Find Wednesday's temperature.

-4°C

Lowest temperature -57.0°C, highest is 63.8°C more. Find the highest temperature.

6.8°C

Write in figures: One million three hundred and two thousand five hundred and ninety-six.

1 302 596

Write 604925 in words.

Six hundred and four thousand, nine hundred and twenty-five.

What is the value of 9 in 9990?

9000 (nine thousand)

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