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In Mathematics / High School | 2025-07-03

1. In which place is 7 in the following numbers in the national numeration system?
(a) 2378
(b) 22307
(c) 44289782
(d) 720081810

2. What is the place value of 6 in each of the following national numerations?
(a) 612
(b) 5430630
(c) 262140002
(d) 611212110

3. What is the place and numerical value of 3 in each of the following national numerations?
(a) 3252
(b) 32000122
(c) 3001122520
(d) 400300278

4. What is the value of 9 in each of the following national numerations?
(a) 39004003
(b) 8920418435
(c) 9040041673
(d) 2946047802

Asked by blessed6521

Answer (1)

To find the place and place value of digits in a number using the national numeration system, it's important to understand the place value positions: units, tens, hundreds, thousands, ten thousands, hundred thousands, millions, and so on. Let's analyze the given numbers step by step:

In which place is 7 in the following numbers?
(a) 2378 - The place of 7 is in the 'tens' position.
(b) 22307 - The place of 7 is in the 'units' position.
(c) 44289782 - The place of 7 is in the 'ten thousands' position.
(d) 720081810 - The place of 7 is in the 'hundreds of millions' position.

What is the place value of 6 in each of the following numbers?
(a) 612 - The place value of 6 is 6 × 100 = 600 .
(b) 5430630 - The place value of 6 is 6 × 10000 = 60000 .
(c) 262140002 - The place value of 6 is 6 × 10000000 = 60000000 .
(d) 611212110 - The place value of 6 is 6 × 100000000 = 600000000 .

What is the place and numerical value of 3 in each of the following numbers?
(a) 3252 - The place of 3 is 'thousands', and the numerical value is 3 × 1000 = 3000 .
(b) 32000122 - The place of 3 is 'ten millions', and the numerical value is 3 × 10000000 = 30000000 .
(c) 3001122520 - The place of 3 is 'billions', and the numerical value is 3 × 1000000000 = 3000000000 .
(d) 400300278 - The place of 3 is 'hundred thousands', and the numerical value is 3 × 100000 = 300000 .

What is the value of 9 in each of the following numbers?
(a) 39004003 - The value of 9 is 9 × 1000000 = 9000000 .
(b) 8920418435 - The value of 9 is 9 × 100000000 = 900000000 .
(c) 9040041673 - The value of 9 is 9 × 1000000000 = 9000000000 .
(d) 2946047802 - The value of 9 is 9 × 100000000 = 900000000 .


Using these steps, you can identify the place and place value of any digit in a number within the national numeration system. This understanding is fundamental for operations such as rounding, estimating, and performing arithmetic calculations.

Answered by SophiaElizab | 2025-07-06

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