If 3676-48 can be written in expanded form as-3 - 10a - b - 102 - 7 - 10c - 6 - 100 - 4 - 10d - e -10-2 -Find the value of a-b-c-d-e-

3676.48 can be written in expanded form as: 3 × 10^3 + 6 × 10^2 + 7 × 10^1 + 6 × 10^0 + 4 × 10^ 1 + 8 × 10^ 2. a= 3, b=6, c=1, d= 1, e=8 a + b c d e = 3 ...

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Standard VIII

Mathematics

Expanding a Rational Number Using Powers

If 3676.48 ca...

Question

If 3676.48 can be written in expanded form as:
$3 \times 10^{a} + b \times 10^{2} + 7 \times 10^{c} + 6 \times 10^{0} + 4 \times 10^{d} + e \times 10^{- 2}$ .
$Find the value of a + b - c - d - e .$

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Solution

3676.48 can be written in expanded form as:
$3 \times 10^{3} + 6 \times 10^{2} + 7 \times 10^{1} + 6 \times 10^{0} + 4 \times 10^{- 1} + 8 \times 10^{- 2}$ .
$a = 3, b = 6, c = 1, d = - 1, e = 8 a + b - c - d - e = 3 + 6 - 1 + 1 - 8 = 1$

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If 3676.48 can be written in expanded form as:
$3 \times 10^{a} + b \times 10^{2} + 7 \times 10^{c} + 6 \times 10^{0} + 4 \times 10^{d} + e \times 10^{- 2}$ .
$Find the value of a + b - c - d - e .$ __

If 3676.48 can be written in expanded form as:
$3 \times 10^{a} + b \times 10^{2} + 7 \times 10^{c} + 6 \times 10^{0} + 4 \times 10^{d} + e \times 10^{- 2}$ .
$Find the value of a + b - c - d - e .$

4398.48 can be written in expanded form as: $4 \times 10^{a} + b \times 10^{2} + 9 \times 10^{c} + 8 \times 10^{0} + 4 \times 10^{d} + e \times 10^{- 2}$ . Find the value of a + b + c -d -e?

Write the numeral whose expanded form is given below:
(i) $6 \times 10^{4} + 3 \times 10^{3} + 0 \times 10^{2} + 7 \times 10^{1} + 8 \times 10^{0}$
(ii) $9 \times 10^{6} + 7 \times 10^{5} + 0 \times 10^{4} + 3 \times 10^{3} + 4 \times 10^{2} + 6 \times 10^{1} + 2 \times 10^{0}$
(iii) $8 \times 10^{5} + 6 \times 10^{4} + 4 \times 10^{3} + 2 \times 10^{2} + 9 \times 10^{1} + 6 \times 10^{0}$

If
A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$\begin{matrix} C o l u m n A & C o l u m n B 1. A \cup B & a . {3, 4, 6, 7} 2. A \cap B & b . \emptyset 3. (B \cap C) \cup D & c . {3, 4} 4. B \cup C \cup D & d . {3, 4, 5, 6, 7, 8, 9, 10} 5. (A \cap B) \cap (B \cup C) & e . {1, 2, 3, 4, 5, 6, 7} f . {6, 7, 8, 9, 10} g . {7} \end{matrix}$

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If 3676.48 can be written in expanded form as: 3×10a+b×102+7×10c+6×100+4×10d+e×10−2 . Find the value of a+b−c−d−e. __

3676.48 can be written in expanded form as: 3×103+6×102+7×101+6×100+4×10−1+8×10−2. a=3,b=6,c=1,d=−1,e=8a+b−c−d−e=3+6−1+1−8=1

If 3676.48 can be written in expanded form as:
$3 \times 10^{a} + b \times 10^{2} + 7 \times 10^{c} + 6 \times 10^{0} + 4 \times 10^{d} + e \times 10^{- 2}$ .
$Find the value of a + b - c - d - e .$

__

3676.48 can be written in expanded form as:
$3 \times 10^{3} + 6 \times 10^{2} + 7 \times 10^{1} + 6 \times 10^{0} + 4 \times 10^{- 1} + 8 \times 10^{- 2}$ .
$a = 3, b = 6, c = 1, d = - 1, e = 8 a + b - c - d - e = 3 + 6 - 1 + 1 - 8 = 1$