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Benchmark Numbers in Maths: An Effective Mathematics Tool to Compare or Measure Numbers

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Last updated date: 17th Apr 2024
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What Does Benchmark Mean in Maths?

In Mathematics, a benchmark can be defined as a standard or reference against which something can be measured, compared or assessed. Benchmark in Mathematics is a direct tool to help solve mathematical problems. Students widely use benchmarks to compare decimal problems and fractions with different numerators and denominators. To understand what benchmark numbers are and how they can be used in Maths and represented on the number line, keep reading ahead.


What Are Benchmark Numbers in Mathematics?

In Mathematics, benchmark numbers are numbers against which other numbers or quantities can be compared or assessed. Generally, benchmark numbers are multiples of 10, 100, 1000, and occasionally multiples of 25.


List of Common Benchmark Numbers

Following is the list of common benchmark numbers:

Multiples of 10

Multiples of 100

Multiples of 1000

10

100

1000

20

200

2000

30

300

3000

40

400

4000

50

500

5000

60

600

6000

70

700

7000

80

800

8000

90

900

9000

100

1000

10,000


Benchmark Number Example

Let us understand benchmark numbers with examples.

1. Benchmark Numbers of 128 When Counting by 10.

They include numbers between 120 and 130.


2. Benchmark Numbers of 284 When Counting by 100.

They include numbers between 200 and 300.


3. Benchmark Numbers of 3356 When Counting by 1000.

They include numbers between 3000 and 4000.


Benchmark Numbers on Number Line

Let us understand benchmark numbers on the number line with examples below:

1. Show Benchmark Numbers of 57 when counting by 100 on the number line.

The benchmark numbers of 57 when counting by 10 include 50 and 60. Look at the number line below to know how to locate 57 between its two benchmark numbers on the number line.


Benchmark Numbers of 57 when counting by 100 on the number line


2. Show Benchmark Numbers of 345 when counting by 100 on the number line.

The benchmark numbers of 345 when counting by 100 include 340 and 400. Look at the number line below to know how to locate 345 between its two benchmark numbers on the number line.


Benchmark Numbers of 345 when counting by 100 on the number line


Conclusion

In short, a benchmark number is any multiple of 10, 100, 1000, and sometimes 25 against which other numbers or quantities can be compared or assessed. Hope you have clearly understood the concept of benchmark numbers through this article. Using this information, you can easily solve the questions based on this topic given in your class or examination.

FAQs on Benchmark Numbers in Maths: An Effective Mathematics Tool to Compare or Measure Numbers

1. What does the term "Benchmark" mean?

The term 'Benchmark' means the point of reference used for comparison. In the whole number, benchmarks are the round numbers such as 5, 10, or 100.

2. How are benchmark numbers important in rounding?

While rounding any number, it is important to locate the benchmark numbers on the number line. For example, if we round any number to the nearest 100, the benchmark numbers are the multiples of 100 i.e. 100,  200, 300, and so on.