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प्रश्न
The shifting of a number from one side of an equation to other is called ______.
विकल्प
Transposition
Distributivity
Commutativity
Associativity
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उत्तर
The shifting of a number from one side of an equation to other is called transposition.
Explanation:
If we have an equation, say x + a = 0, then x = – a.
Here we have shifted number ‘a’ from left-hand side to right-hand side.
APPEARS IN
संबंधित प्रश्न
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| x - 7 = 1 | x = 8 |
Add
3a − 2b + 5c, 2a + 5b − 7c, − a − b + c
Solve the following equation and verify the answer:
3(2 − 5x) − 2(1 − 6x) = 1
A wire of length 86 cm is bent in the form of a rectangle such that its length is 7 cm more than its breadth. Find the length and the breadth of the rectangle so formed.
A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has travelled 5 hours, Beespur is still 20 km away. What is the distance from Daspur to Beespur? Express it using v.
Change the following statements using expressions into statements in ordinary language.
(For example, Given Salim scores r runs in a cricket match, Nalin scores (r + 15) runs. In ordinary language − Nalin scores 15 runs more than Salim.)
Our class has n students. The school has 20 n students.
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
7 × 3 − 13 = 8
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
7 = (11 × 2) + p
Complete the entries in the third column of the table.
|
S.No. |
Equation |
Value of variable |
Equation satisfied Yes/No |
|
(a) |
10y = 80 |
y = 10 |
______ |
|
(b) |
10y = 80 |
y = 8 |
______ |
|
(c) |
10y = 80 |
y = 5 |
______ |
|
(d) |
4l = 20 |
l = 20 |
______ |
|
(e) |
4l = 20 |
l = 80 |
______ |
|
(f) |
4l = 20 |
l = 5 |
______ |
|
(g) |
b + 5 = 9 |
b = 5 |
______ |
|
(h) |
b + 5 = 9 |
b = 9 |
______ |
|
(i) |
b + 5 = 9 |
b = 4 |
______ |
|
(j) |
h − 8 = 5 |
h = 13 |
______ |
|
(k) |
h − 8 = 5 |
h = 8 |
______ |
|
(l) |
h − 8 = 5 |
h = 0 |
______ |
|
(m) |
p + 3 = 1 |
p = 3 |
______ |
|
(n) |
p + 3 = 1 |
p = 1 |
______ |
|
(o) |
p + 3 = 1 |
p = 0 |
______ |
|
(p) |
p + 3 = 1 |
p = − 1 |
______ |
|
(q) |
p + 3 = 1 |
p = − 2 |
______ |
Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.
5m = 60 (10, 5, 12, 15)
