876543 = 8 × 10⁵ + 7 × 10⁴ + 6 × 10³ + 5 × 10² + 4 × 10¹ + 3 × 10⁰. State whether the given statement is true or false
Solution:
Given, 876543 = (8 × 10⁵) +(7 × 10⁴) + (6 × 10³) + (5 × 10²) + (4 × 10¹) + (3 × 10⁰)
We have to determine if the given statement is true or false.
RHS : Considering (8 × 10⁵) + (7 × 10⁴) + (6 × 10³) + (5 × 10²) + (4 × 10¹) + (3 × 10⁰),
8 × 10⁵ = 8 × 100000 = 800000
7 × 10⁴ = 7 × 10000 = 70000
6 × 10³ = 6 × 1000 = 6000
5 × 10² = 5 × 100 = 500
4 × 10¹ = 4 × 10 = 40
3 × 10⁰ = 3 × 1 = 3
Now, 800000 + 70000 + 6000 + 500 + 40 + 3 = 870000 + 6000 + 543
= 876000 + 543
= 876543
= LHS
LHS = RHS
Therefore, the given statement is true.
✦ Try This: 123456 = 1 × 10⁵ + 2 × 10⁴ + 3 × 10³ + 4 × 10² + 5 × 10¹ + 6 × 10⁰. State whether the given statement is true or false
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13
NCERT Exemplar Class 7 Maths Chapter 11 Problem 61
876543 = 8 × 10⁵ + 7 × 10⁴ + 6 × 10³ + 5 × 10² + 4 × 10¹ + 3 × 10⁰. State whether the given statement is true or false
Summary:
The given statement,”876543 = 8 × 10⁵ + 7 × 10⁴ + 6 × 10³ + 5 × 10² + 4 × 10¹ + 3 × 10⁰” is true
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