Reading And Ordering Numbers
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선생님을 위해: Reading And Ordering Numbers(Maths [CIE], Core)을(를) 위한 바로 쓸 수 있는 수업 슬라이드, 복습 노트 — 수업에 사용하거나, 학생들이 실시간 게임으로 즐기는 인터랙티브 클래스 활동으로 진행하세요.
수업 노트
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).
슬라이드
연습 문제
무료 미리 보기 — 62개 중 8개 문제. 가입하면 전부 볼 수 있어요.
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
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