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Byju's Answer

Standard VII

Mathematics

Properties of Addition and Subtraction of Integers

Find the valu...

Question

Find the value of 'a' if each of the following statements is true integers: 1.(-5)+4=a+(-5):__ 2.(a)+0=0+(-8) 3.2+(3+5)=(2+a)+5:_ 4.(-3)+3=0=a+(-3):

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Solution

Dear Student

$1 . - 5 + 4 = a + (- 5) \Rightarrow a = 4 2 . a + 0 = 0 + (- 8) \Rightarrow a = - 8 3 . 2 + 3 + 5 = 2 + a + 5 \Rightarrow a = 3 4 . - 3 + 3 = 0 = a + (- 3) \Rightarrow a = 3$

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Similar questions

Simplifyand express each of the following in exponential form:

(i) $\frac{2^{3} \times 3^{4} \times 4}{3 \times 32}$

(ii) $({5^{2}}^{3} \times 5^{4}) \div 5^{7}$

(iii) $25^{4} \div 5^{3}$

(iv) $\frac{3 \times 7^{2} \times 11^{8}}{21 \times 11^{3}}$

(v) $\frac{3^{7}}{3^{4} \times 3^{3}}$

(vi) $2^{0} + 3^{0} + 4^{0}$

(vii) $2^{0} \times 3^{0} \times 4^{0}$

(viii) $(3^{0} + 2^{0}) \times 5^{0}$

(ix) $\frac{2^{8} \times a^{5}}{4^{3} \times a^{3}}$

(x) $\frac{a^{5}}{a^{3}} \times a^{8}$

(xi) $\frac{4^{5} \times a^{8} b^{3}}{4^{5} \times a^{5} b^{2}}$

(xii) $(2^{3} \times 2)^{2}$

Find the roots of the following equations

(1) x(x − 3) = 0

(2) a(a + 5) = 0

(3) m² − 4m = 0

(4) 3k² + 6k = 0

(5) (y + 6) (y + 9) = 0

(6) (b − 3) (b − 5) = 0

(7) (2n + 1) (3n − 2) = 0

(8) (5z − 2) (7z + 3) = 0

Q. Check whether the following statements are true or false. If true, then state the property illustrated by the statement.

\frac{- 2}{3} + 0 = 0 + (\begin{matrix} \frac{- 2}{3} \end{matrix}) = \frac{- 2}{3}

\frac{- 4}{5} + \frac{7}{8} = \frac{7}{8} + (\begin{matrix} \frac{- 4}{5} \end{matrix})

If true then enter

1

and if false then enter

0

Pick out the value of ‘y’ from the following

(1) 4 ⊕ y = 0 (mod 5)

(a) 0 (b) 1 (c) 4 (d) 5

(2) 3 ⊕ y = 2 (mod 6)

(a) 4 (b) 2 (c) 5 (d) 6

(3) 2 y = 1 (mod 5)

(a) 2 (b) 5 (c) 6 (d) 3

(4) y ⊗ y = 1 (mod 8)

(a) 6 (b) 3 (c) 8 (d) 4

Q. The value of

(- 5) \times (- 4) \times (- 3) \times (- 2) \times (- 1) \times 0 + 0 \times (1) \times (2) \times (3) \times (4) \times (5)

is?

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Find the value of 'a' if each of the following statements is true integers: 1.(-5)+4=a+(-5):____ 2.(a)+0=0+(-8) 3.2+(3+5)=(2+a)+5:___ 4.(-3)+3=0=a+(-3):

Dear Student 1. -5+4 = a+-5 ⇒a=42. a+0=0+-8 ⇒a=-83. 2+3+5=2+a +5⇒a=34. -3+3=0=a+-3⇒a=3 Regards

Find the value of 'a' if each of the following statements is true integers: 1.(-5)+4=a+(-5):__ 2.(a)+0=0+(-8) 3.2+(3+5)=(2+a)+5:_ 4.(-3)+3=0=a+(-3):

Dear Student

$1 . - 5 + 4 = a + (- 5) \Rightarrow a = 4 2 . a + 0 = 0 + (- 8) \Rightarrow a = - 8 3 . 2 + 3 + 5 = 2 + a + 5 \Rightarrow a = 3 4 . - 3 + 3 = 0 = a + (- 3) \Rightarrow a = 3$

Regards