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Which of the following is the multiplicative identity for an integer a?
Concept: undefined >> undefined
11 × (–5) = – (_____ × _____) = _____.
Concept: undefined >> undefined
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______ is the multiplicative identity for integers.
Concept: undefined >> undefined
We get additive inverse of an integer a when we multiply it by ______.
Concept: undefined >> undefined
(–1) is not a multiplicative identity of integers.
Concept: undefined >> undefined
Match the following:
| Column I | Column II |
| (a) a × 1 | (i) Additive inverse of a |
| (b) 1 | (ii) Additive identity |
| (c) (–a) ÷ (–b) | (iii) Multiplicative identity |
| (d) a × (–1) | (iv) a ÷ (–b) |
| (e) a × 0 | (v) a ÷ b |
| (f) (–a) ÷ b | (vi) a |
| (g) 0 | (vii) –a |
| (h) a ÷ (–a) | (viii) 0 |
| (i) –a | (ix) –1 |
Concept: undefined >> undefined
Below u, v, w and x represent different integers, where u = –4 and x ≠ 1. By using following equations, find each of the values:
u × v = u
x × w = w
u + x = w
- v
- w
- x
Explain your reasoning using the properties of integers.
Concept: undefined >> undefined
Gayatri’s income is ₹ 1,60,000 per year. She pays 15% of this as house rent and 10% of the remainder on her child’s education. The money left with her is ______.
Concept: undefined >> undefined
The interest on ₹ 30000 for 3 years at the rate of 15% per annum is ______.
Concept: undefined >> undefined
Amount received on ₹ 3000 for 2 years at the rate of 11% per annum is ______.
Concept: undefined >> undefined
Interest on ₹ 12000 for 1 month at the rate of 10% per annum is ______.
Concept: undefined >> undefined
Rajni and Mohini deposited ₹ 3000 and ₹ 4000 in a company at the rate of 10% per annum for 3 years and `2 1/2` years respectively. The difference of the amounts received by them will be ______.
Concept: undefined >> undefined
The sum which will earn a simple interest of ₹ 126 in 2 years at 14% per annum is ______.
Concept: undefined >> undefined
Interest on ₹ 3000 at 10% per annum for a period of 3 years is ______.
Concept: undefined >> undefined
Amount obtained by depositing ₹ 20,000 at 8% per annum for six months is ______.
Concept: undefined >> undefined
Interest on ₹ 12500 at 18% per annum for a period of 2 years and 4 months is ______.
Concept: undefined >> undefined
Interest = `(P xx R xx T)/100`, where T is ______ R% is ______ and P is ______.
Concept: undefined >> undefined
The difference of interest for 2 years and 3 years on a sum of ₹ 2100 at 8% per annum is ______.
Concept: undefined >> undefined
