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Exercises in Chapter 1 rational numbers Grade 8

Questions in Rational Numbers - Exercise

The negative of a negative rational number is always a ________ (positive/negative) rational number.

**Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.**

Name | Distance covered (km) |
---|---|

Seema | [[> widget id="3" <]] |

Nancy | [[> widget id="4" <]] |

Megha | [[> widget id="5" <]] |

Soni | [[> widget id="6" <]] |

**How farther did Soni hop than Nancy?**

**The table shows the portion of some common materials that are recycled.**

Material | Recycled |
---|---|

Paper | [[> widget id="2" <]] |

Aluminium cans | [[> widget id="3" <]] |

Glass | [[> widget id="4" <]] |

Scrap | [[> widget id="5" <]] |

**Is the rational number expressing the amount of paper recycled more than ½ or less than ½?**

**The table shows the portion of some common materials that are recycled.**

Material | Recycled |
---|---|

Paper | [[> widget id="3" <]] |

Aluminium cans | [[> widget id="4" <]] |

Glass | [[> widget id="5" <]] |

Scrap | [[> widget id="6" <]] |

**Arrange the rate of recycling the materials from the greatest to the smallest.**

**The table shows the portion of some common materials that are recycled.**

Material | Recycled |
---|---|

Paper | [[> widget id="2" <]] |

Aluminium cans | [[> widget id="3" <]] |

Glass | [[> widget id="4" <]] |

Scrap | [[> widget id="5" <]] |

**Which items have a recycled amount less than ½?**

**Here is a table which gives the information about the total rainfall for June compared to the average monthly rains of a town. Write decimal form to rational form p/q and select the correct option.**

Month | Above/Below normal (in cm) |
---|---|

June | 0.6096 |

**Here is a table which gives the information about the total rainfall for July compared to the average monthly rains of a town. Write decimal form to rational form p/q and select the correct option.**

Month | Above/Below normal (in cm) |
---|---|

July | -6.9088 |

**Express it in decimal in the form p/q.**

State | Life expectancy of Males |
---|---|

Bihar | 60.7 |

**Here is a table which gives the information about the total rainfall for May compared to the average monthly rains of a town. Write decimal form to rational form p/q and select correct option.**

Month | Above/Below normal (in cm) |
---|---|

May | 2.6924 |

**Express it in decimal in the form p/q.**

State | Life expectancy of Males |
---|---|

Assam | 57.1 |

**Express it in decimal in the form p/q.**

State | Life expectancy of Males |
---|---|

Andhra Pradesh | 61.6 |

**The average life expectancies of males for several
states are shown in the table. Express each decimal in the
form p/q and arrange the states from the least to the
greatest male life expectancy.**

State | Male life expectancy |
---|---|

Karnataka | 62.4 |

Haryana | 64.1 |

Madhya Pradesh | 56.5 |

Uttar Pradesh | 58.9 |

**Here is a table which gives the information about the total rainfall for August compared to the average monthly rains of a town. Write decimal form to rational form p/q and select the correct option.**

Month | Above/Below normal (in cm) |
---|---|

August | -8.636 |

**Manavi receives an allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mall. If the allowance of each is ₹ 1260, what is the amount left with each?**

Where money goes | Fraction of allowance |
---|---|

Saving Account | [[> widget id="2" <]] |

Spend at mall | [[> widget id="3" <]] |

Left over | ? |

**Manavi receives an allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mall. If allowance of each is ₹ 1260, what is the amount left with each?**

Where money goes | Fraction of allowance |
---|---|

Saving Account | [[> widget id="2" <]] |

Spend at mall | [[> widget id="3" <]] |

Left over | x |

Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.

Name | Distance covered (km) |
---|---|

Seema | [[> widget id="3" <]] |

Nancy | [[> widget id="4" <]] |

Megha | [[> widget id="5" <]] |

Soni | [[> widget id="6" <]] |

What is the total distance covered by Seema and Megha?

**Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.**

Name | Distance covered (km) |
---|---|

Seema | [[> widget id="3" <]] |

Nancy | [[> widget id="4" <]] |

Megha | [[> widget id="5" <]] |

Soni | [[> widget id="6" <]] |

**Who hopped farthest?**

Which of the following expressions shows that rational numbers are associative under multiplication?

Name | Distance Covered |
---|---|

Seema | 1/25 |

Nancy | 1/32 |

Megha | 1/40 |

Soni | 1/20 |

(a) How further did Soni hop than Nancy?

(b) What is the total distance covered by Seema and Megha?

(c) Who walked further, Nancy or Megha?

The table shows the portion of some common materials that are recycled.

Material | Recycled |
---|---|

Paper | 5/11 |

Aluminium cans | 5/8 |

Glass | 2/5 |

Scrap | 3/4 |

(a) Is the rational number expressing the amount of paper recycled more than ½ or less than ½?

(b) Which items have a recycled amount less than ½?

(c) Is the quantity of aluminium cans recycled more (or less) than half of the number of aluminium cans?

(d) Arrange the rate of recycling the materials from the greatest to the smallest.

Here is a table which gives information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number p/q.

Month | Above/Below normal (in cm) |
---|---|

May | 2.6924 |

June | 0.6096 |

July | -6.9088 |

August | -8.636 |

Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposit into his/her saving account and the fraction each spends at the mall. If the allowance of each is ₹ 1260 find the amount left with each.

Where Money goes | Fraction Of Allowance | - |
---|---|---|

- | Manavi | Kuber |

Saving Account | ½ | 1/3 |

Spend at mall | ¼ | 3/5 |

Left over | ? | ? |

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