# Estimating and rounding

Choosing where to round will help you estimate more easily.

You said it was only going to be a few dollars.

**Example 1**

Where would you estimate $`59.41`

The choice would be

`59.41` | |

Round to the `1^(st)` decimal place | `59.40` |

Round to the units of 1 column | `59.00` |

Round to the tens units | `60.00` |

You can see that rounding to the tens units i.e. $`60.00` is not too far from $`59.41` and is clearly easier to remember.

**Example 2**

The attendance at a football match is 34,846 people, how would you estimate this in order to tell your friends the attendance?

The choice would be

`34,846` | |

Round to the tens units | `34,850` |

Round to the hundreds units | `34,800` |

Round to the thousands | `35,000` |

Round to the tens of thousands | `30,000` |

You can see that the most representative estimate would be `35,000` and would only be `154` out from the original number.

**Example 3**

Bernice decides to go shopping and in her trolley, she has two shirts for `£10.99` three skirts for `£21.20` and a pair of shoes for `£69.00` She has `£180`. Estimate the value of the clothes to decide if she has enough.

Adding | `2times£10.99` |

`+` | `3times£21.20` |

`+` | `1times£69.00` |

is tough

But adding | `2times£10` |

`+` | `3times£20` |

`+` | `1times£70` |

is a lot easier

`2times£10` | `=£20` |

`3times£20` | `=£60` |

`1times£70` | `=£70` |

`£150` |

She has enough

**NOTE:**

The real answer is `£154.58` but the estimate of `£150` is enough to realise that `£180` is sufficient to purchase all the clothes.

# Estimating and rounding

Choosing where to round will help you estimate more easily.

You said it was only going to be a few dollars.

**Example 1**

Where would you estimate $`59.41`

The choice would be

`59.41` | |

Round to the `1^(st)` decimal place | `59.40` |

Round to the units of 1 column | `59.00` |

Round to the tens units | `60.00` |

You can see that rounding to the tens units i.e. $`60.00` is not too far from $`59.41` and is clearly easier to remember.

**Example 2**

The attendance at a football match is 34,846 people, how would you estimate this in order to tell your friends the attendance?

The choice would be

`34,846` | |

Round to the tens units | `34,850` |

Round to the hundreds units | `34,800` |

Round to the thousands | `35,000` |

Round to the tens of thousands | `30,000` |

You can see that the most representative estimate would be `35,000` and would only be `154` out from the original number.

**Example 3**

Bernice decides to go shopping and in her trolley, she has two shirts for `£10.99` three skirts for `£21.20` and a pair of shoes for `£69.00` She has `£180`. Estimate the value of the clothes to decide if she has enough.

Adding | `2times£10.99` |

`+` | `3times£21.20` |

`+` | `1times£69.00` |

is tough

But adding | `2times£10` |

`+` | `3times£20` |

`+` | `1times£70` |

is a lot easier

`2times£10` | `=£20` |

`3times£20` | `=£60` |

`1times£70` | `=£70` |

`£150` |

She has enough

**NOTE:**

The real answer is `£154.58` but the estimate of `£150` is enough to realise that `£180` is sufficient to purchase all the clothes.