For estimating sums and also differences in the number we use the rounded numbers because that estimations come its nearest tens, hundred, and also thousand.

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**Estimating Sums: ****In plenty of practical calculations, just an approximation is required rather than an exact answer. To do this, numbers are rounded off to a offered place worth of ten, hundred, thousand ... **

**Example on Estimating Sums: ****1.** There room 74 coconut cookies and 48 chocolate cookies in a jar. Calculation the total variety of cookies.

**Round the number to the nearest ten and also add.**

**Rounded to TENS**

There are about 120 cookies.

The actual variety of cookies is 122.

The calculation differs from the actual by 2.

**2.** There are 275 student in class IVth and also 238 student in class Vth. Calculation the total variety of students in the two classes. **We can round the numbers one of two people to the nearest ten or the nearest hundreds and add to acquire an estimate. Rounded come TENS**

There are approximately 520 students. ** **

**The estimate differs from the really by 7. Rounded to HUNDREDS**

**There are around 500 students. **

**The estimate differs indigenous the yes, really by 13. **

**Estimating Difference: **

**Example ~ above Estimating Difference: ****The college library has actually 284 science books and also 268 social sciences books. **

**Estimate the difference in the variety of books. Rounded to TENS**

The distinction is about 20 books. ** **

**The calculation differs from the really number by 4. Rounded to HUNDREDS**

In this case, rounding number to hundreds will certainly not be meaningful as the difference will it is in 0.

**Examples top top estimating sums and differences of the numbers:****1.** The variety of students in great III, IV and also V are 154,129 and 118. Calculation the total number of students in the three classes bring away together.**Solution:****The rounded numbers are offered to estimate.**

**So 154 ⇒ 200 being much more than 150 129 ⇒ 100 being less than 150 118 ⇒ 100 being less than 150 400 So total number as approximated is 400**

**Answer: 400**

**2.** There space 479 girls and also 729 guys in a school. Estimate the total number of students in the school.**Solution:****For estimation the numbers might be taken to the nearest ten or hundred.**

**(i) 479 ⇒ 480 729 ⇒ 730 1208 ⇒ 1210 **

**(ii) 479 ⇒ 500 729 ⇒ 700 1208 ⇒ 1200 **

**3.** There are 216 pages in the mathematics book of course IV and also 196 pages in the English publication of the same class. Calculation the distinction in the variety of pages the the 2 books.**Solution:****We use the rounded numbers for estimation.**

** 216 ⇒ 220 - 196 ⇒ 200 20 ⇒ 20 **

**The estimated difference in number of pages is 20.The actual difference is additionally 20.**

**4.** Round off the numbers 324 and also 777 come the nearest 10s. Discover the estimated and also actual difference.

**Solution:**

**Rounding off the number to nearest 10s**

**324 → 320 777 → 780**

**Hence, 780 – 320 = 460 is the approximated difference.**

**Actual Difference**

(i) What is the difference in between the variety of dolls andcars made in a month? provide your answer to nearest 10 and 100.

Dolls Cars

(a) Nearest 10s: ____________ ____________

(b) Nearest 100s: ____________ ____________

(ii) If 1600 super Heroes are offered in the market, then howmany room left for sale?

(iii) how many much more soft toys should be do in the factoryto make the number 7000?

**Answer:**

(i) (a) 6730; 5970

(b) 6700; 6000

(ii) 5242

(iii) 415

**III. Round turn off the given numbers come the nearest 10s. Discover theestimated difference and actual difference.**

Estimated Difference |
| |

(i) 254 from 875 | __________ | __________ |

(ii) 214 native 784 | __________ | __________ |

(iii) 657 from 954 | __________ | __________ |

(iv) 21 native 287 | __________ | __________ |

**Answer:**

**III. **(i) 630, 621

(ii) 570, 570

(iii) 290, 297

(iv) 270, 266

**IV. Round turn off the offered numbers to the nearest 100s. Uncover the approximated difference and also actual difference.See more: How Much Is 15 Meters In Feet And Inches, How Many Feet In 15 Meters**

Estimated Difference |
| |

(i) 121 from 145 | __________ | __________ |

(ii) 124 from 448 | __________ | __________ |

(iii) 215 native 659 | __________ | __________ |

(iv) 347 native 728 | __________ | __________ |

**Related Concept**

● Addition

● WordProblems ~ above Addition

● individually

● Checkfor Subtraction and also Addition

● WordProblems Involving addition and Subtraction

● EstimatingSums and also Differences

● find theMissing Digits

● Multiplication

● Multiplya Number by a 2-Digit Number

● Multiplicationof a Number by a 3-Digit Number

● multiply a Number

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● Terms provided inDivision

● Divisionof Two-Digit by a One-Digit Numbers

● Divisionof Four-Digit by a One-Digit Numbers

● Divisionby 10 and also 100 and 1000

● dividing Numbers

● Estimatingthe Quotient

● Divisionby Two-Digit Numbers

● WordProblems top top Division

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