# Unit 3fractions, Decimals And Percentswelcome

Posted : admin On 8/23/2021Marc bulger wife. REVIEW Unit 3 Fractions. REVIEW Unit 4 Decimals and Percents. REVIEW: Unit 5 Perimeter, Area and Volume. Math Contests & Challenges. Meadowridge Math Page. Online Learning at Home (NEW) Week One (March 30th - April 3rd) Week Three (April 13th-17th).

Play this game to review Mathematics. Find the difference. Decimals. Explore the relationships between fractions and decimals. 7m15, 7m27 CGE 2c, 3c 12 Decimals. Compare and order decimals to hundredths, using a variety of tools, e.g., number lines, relational rods, base-ten materials, calculators. Determine whether a fraction or a decimal. Convert 80% to a decimal (=80/100): 0.8. Write down the decimal 'over' the number 1: 0.81. Multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc): 0.8 × 101 × 10. This makes a correctly formed fraction: 810. Then Simplify the fraction: 45. To explore tenths as fractions and in decimal notation. To explore hundredths as fractions and in decimal notation. Preparing for Learning. Prior to commencing the unit, develop a fractions and decimals display in the classroom. Display posters and word wall vocabulary that the students will engage with throughout the unit to stimulate their.

### 5.4. Decimals and fractions

#### 5.4.1. Decimals

The Chinese invented decimals thousands of years ago, and decimals have been commoner than fractions in East Asia for a long time, while fractions had been more commonly used in the West since Mesopotamian Civilization.

The way to read decimals (しょうすう 'syô

**sû**') in Japanese is similar to English. The decimal delimiter in Japanese is a period (not Japanese period but European period). To read decimals in Japanese, read the integer part first. Then say てん 'ten', which is the Japanese word for

*point*, and say plain digit names after that. Omitting zero before a decimal point is not allowed in Japanese.

The euphonic change rule is applied for the word てん, so number 1.3 should be pronounced as い

ってんさん '

**i**tten san'.

There is a detailed rule to make pronunciation rhythmical. You can skip this part. The digit immediately before a decimal point is paired with the decimal point, and the digits after the decimal point are paired every two digits. In those pairs, the digit 2 is pronounced as not に '

**ni**' but にー '

**nî**', and the digit 5 is pronounced as not ご '

**go**' but ごー '

**gô**'. These different phonemes guarantee that all digits have two morae, which means the same length of time for each digit, so you have a less chance to misunderstand.

For example, number 22.252 has two pronunciation pairs: '2.' and '25'. So its phoneme becomes にじ

ゅにーてんにーごーに '

**ni**zyû

**nî**ten nî

**gô**

**ni**'. The last digit 2 is not paired, so its phoneme is not affected.

Native Japanese speakers are not aware of the rule, even though they use it. The reason why they read decimals with the rule is that the Japanese language has a strong preference for four-beat rhythm. Making pairs of digits and pronouncing each of them in four morae satisfies the preference. The rule is used not only for decimals but all number sequences as well, such as phone numbers. Also, most colloquial abbreviations of compound words also have four morae. Please remember each mora has the same length of time.

Eight-beat rhythm is preferred as well as four-beat rhythm. You may have heard of はいく 'haiku', a Japanese traditional poem style. A haiku contains three phrases, which have five, seven, and five syllables respectively, and one of which has a word related to a season. The first phrase is pronounced with three rests, the second is with one rest, and the third is also with three rests, so they make eight-beat rhythm.

#### 5.4.2. Decimal units

Before the introduction of the English way of writing decimals with a decimal point, the Japanese used decimal units for numbers smaller than one, and some of the units still survive in modern Japanese. They are similar to

*per cent*in English. These are advanced vocabulary, and you don't have to memorise them now.

Unit | Japanese | English |
---|---|---|

10-1 | わりwa ri | one tenth |

10-2 | ぶbu | one hundredth |

10-3 | りんri n | one thousandth |

Units smaller than 10-3 are not in common use now. Digits before a decimal unit is always pronounced. Look at the examples below:

Numbers | Digits and units | Descriptions |
---|---|---|

0.1 | 1 × 10-1 いちわり i ti wa ri | Read 1 and the unit. |

0.302 | 3 × 10-1 + 0 × 10-2 + 2 × 10-3 さんわり れいぶ にりん sa n wa ri re i bu ni ri n | Read 1 and the unit. |

The unit わり '

**wa**ri' is a native Japanese word, and the rest are Chinese-origin words. The latter originally meant ten times the current values; the unit ぶ '

**bu**' meant one-tenth, and so on. Later the Chinese-origin units were shifted one-tenth smaller to avoid the conflict with わり, but they sometimes keep the original meaning in idioms, which may be confusing. For instance, the word ごぶごぶ 'gobugobu' means

*fifty-fifty*, because the decimal unit ぶ meant one-tenth.

#### 5.4.3. Fractions

Fractions (ぶんすう 'bun

**sû**' in Japanese) are not so commonly used in East Asia as in the West, but it's good to learn how to read them in Japanese here because it's easy. Read the denominator first, then add the suffix ぶんの 'bunno', and read the numerator. In short,

*y*ぶんの

*x*means

*x*/

*y*. ぶん '

**bu**n' means

*divide*, and の 'no' is the genitive marker. For instance, 2/3 is read さんぶんのに 'sanbunno ni'.

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### 5.4. Decimals and fractions

#### 5.4.1. Decimals

The Chinese invented decimals thousands of years ago, and decimals have been commoner than fractions in East Asia for a long time, while fractions had been more commonly used in the West since Mesopotamian Civilization.

The way to read decimals (しょうすう 'syô

**sû**') in Japanese is similar to English. The decimal delimiter in Japanese is a period (not Japanese period but European period). To read decimals in Japanese, read the integer part first. Then say てん 'ten', which is the Japanese word for

*point*, and say plain digit names after that. Omitting zero before a decimal point is not allowed in Japanese.

The euphonic change rule is applied for the word てん, so number 1.3 should be pronounced as い

ってんさん '

**i**tten san'.

There is a detailed rule to make pronunciation rhythmical. You can skip this part. The digit immediately before a decimal point is paired with the decimal point, and the digits after the decimal point are paired every two digits. In those pairs, the digit 2 is pronounced as not に '

**ni**' but にー '

**nî**', and the digit 5 is pronounced as not ご '

**go**' but ごー '

**gô**'. These different phonemes guarantee that all digits have two morae, which means the same length of time for each digit, so you have a less chance to misunderstand.

For example, number 22.252 has two pronunciation pairs: '2.' and '25'. So its phoneme becomes にじ

ゅにーてんにーごーに '

**ni**zyû

**nî**ten nî

**gô**

**ni**'. The last digit 2 is not paired, so its phoneme is not affected.

Native Japanese speakers are not aware of the rule, even though they use it. The reason why they read decimals with the rule is that the Japanese language has a strong preference for four-beat rhythm. Making pairs of digits and pronouncing each of them in four morae satisfies the preference. The rule is used not only for decimals but all number sequences as well, such as phone numbers. Also, most colloquial abbreviations of compound words also have four morae. Please remember each mora has the same length of time.

Eight-beat rhythm is preferred as well as four-beat rhythm. You may have heard of はいく 'haiku', a Japanese traditional poem style. A haiku contains three phrases, which have five, seven, and five syllables respectively, and one of which has a word related to a season. The first phrase is pronounced with three rests, the second is with one rest, and the third is also with three rests, so they make eight-beat rhythm.

#### 5.4.2. Decimal units

Before the introduction of the English way of writing decimals with a decimal point, the Japanese used decimal units for numbers smaller than one, and some of the units still survive in modern Japanese. They are similar to

*per cent*in English. These are advanced vocabulary, and you don't have to memorise them now.

Unit | Japanese | English |
---|---|---|

10-1 | わりwa ri | one tenth |

10-2 | ぶbu | one hundredth |

10-3 | りんri n | one thousandth |

Units smaller than 10-3 are not in common use now. Digits before a decimal unit is always pronounced. Look at the examples below:

Numbers | Digits and units | Descriptions |
---|---|---|

0.1 | 1 × 10-1 いちわり i ti wa ri | Read 1 and the unit. |

0.302 | 3 × 10-1 + 0 × 10-2 + 2 × 10-3 さんわり れいぶ にりん sa n wa ri re i bu ni ri n | Read 1 and the unit. |

The unit わり '

**wa**ri' is a native Japanese word, and the rest are Chinese-origin words. The latter originally meant ten times the current values; the unit ぶ '

**bu**' meant one-tenth, and so on. Later the Chinese-origin units were shifted one-tenth smaller to avoid the conflict with わり, but they sometimes keep the original meaning in idioms, which may be confusing. For instance, the word ごぶごぶ 'gobugobu' means

*fifty-fifty*, because the decimal unit ぶ meant one-tenth.

#### 5.4.3. Fractions

Fractions (ぶんすう 'bun

**sû**

## Fractions Decimals And Percents Pdf

' in Japanese) are not so commonly used in East Asia as in the West, but it's good to learn how to read them in Japanese here because it's easy. Read the denominator first, then add the suffix ぶんの 'bunno', and read the numerator. In short,*y*ぶんの

*x*means

*x*

## Percentage Fractions And Decimals

/*y*

## Math Decimals Percents And Fractions

. ぶん '## Unit 3 Fractions Decimals And Percents Welcome Grade

**bu**n' means

*divide*

## Unit 3 Fractions Decimals And Percents Welcome 5th

, and の 'no' is the genitive marker. For instance, 2/3 is read さんぶんのに 'sanbunno ni'.## Fractions Decimals And Percents Test

- Next article in seriesThe months and the days

- Previous article in seriesCounters