Question

778 X 993 = (778 X 1000) - (778 X ______ ) - 778 *​

Answer 1

Answer:

Q4) Find using distributive property :

(a) 728 × 101

(b) 5437 × 1001

(c) 824 × 25

(d) 4275 × 125

(e) 504 × 35

Solution 4:

(a)

728× 101

=729× (100+1)

=728× 100 + 728× 1

=72800 + 728

=73528

(b)

5437 × 1001

=5437 × (1000+1)

= 5437× 1000 + 5437× 1

=5437000 + 5437

=5442437

(c)

824× 25

= 824 × (20+5)

= 824× 20 + 824 × 5

=16480+4120

=20600

(d) 4275× 125

=4275× (100+20+5)

=4275× 100 + 4275× 20 +4275× 5

=427500 + 85500 + 21375

= 534375

(e) 504 × 35

= 35× (500+4)

= 35× 500 + 35× 4

=17500 + 140

=17640

Answer 2

~Solution :-

Here, we can,

$\sf{778 \times 998 = (778 \times 1000) - (778 \times \_\_\_\_ ) - 778}$

• Let's assume the value of $ dash $ will be $ x $.

$\sf{778 \times 998 = (778 \times 1000) - (778 \times x ) - 778}$

${\dashrightarrow{\sf{778000 - 778x - 778 = 776444}}}$

${ \dashrightarrow{ \sf{778x - 778 = 776444 + 778000}}}$

${ \dashrightarrow \sf{778x - 778 = - 1556}}$

${ \dashrightarrow{ \sf{778x = - 1556 + 778}}}$

${ \dashrightarrow{ \sf{ 778x = - 778}}}$

${ \dashrightarrow{ \sf{x = \frac{ - 778}{778} }}}$

${ \dashrightarrow{ \bf \red{x = 0}}}$

• Hence, the value of $ x $ will be 0.

★ More Information :-

[Note :- Please Slide To Left To See Full Answer!]

• To check if the value of $ x $ will be zero, we must;

${\sf{778 \times 998 = (778 \times 1000) - (778 \times x) - 778}}$

${ \implies{ \sf{776444 = (778000) - (778 \times 0) - 778}}}$

${ \implies \sf{776444 = 778000 - 0 - 778}}$

${ \implies \sf{776444 = 778000 - 778}}$

${ \implies{ \bf \red{776444 = 776444}}}$

$ {\implies \bf \red{LHS = RHS}}$

${\colorbox{black}{\sf{\color{white}{\_ @MrGlorious~~✓}}}}$