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Maths 1 Mark Question

Exponents · Maharashtra Board STD 7 (MSBSHSE - Semi English Medium). 68 questions.

Questions · Page 2 of 2

1 Mark Question

Question 511 Mark
Write the following numbers in the expanded exponential forms:
$20068$
Answer
We have:
$20068=2 \times 10^4+0 \times 10^3+0 \times 10^2+6 \times 10^1+8 \times 10^0$
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Question 521 Mark
Express the following rational numbers in power notation:
$-\frac{64}{125}$
Answer
$-\frac{64}{125}=\Big(-​​\frac{4}{5}\Big)^3$
Because $4^3 = 64$ and $5^3 = 125$
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Question 531 Mark
Express the following numbers in the standard form:
$5,00,00,000$
Answer
5,00,00,000 = 5, 00,00,000.00
$=5 \times 10^7$
Since, the decimal point is moved seven places to the left
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Question 541 Mark
Write $9 × 9 × 9 × 9 × 9$ in exponential form with base $3$.
Answer
$9 \times 9 \times 9 \times 9 \times 9=(9)^5=\left(3^2\right)^5$
$=3^{10}$
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Question 551 Mark
Express the following numbers in the standard form:
$723 \times 10^9$
Answer
$723 \times 10^9=7.23 \times 10^2 \times 10^9$
$=7.23 \times 10^{11}$
Since, the decimal point is moved two places to the left.
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Question 571 Mark
Find the values of the following:
$(-5)^5$
Answer
We know that If 'a' is natural number, then
$(-a)^{\text {even number }}=$ positive number
$(-a)^{\text {even number }}=$ negative number
We have,
$(-5)^5=(-5) \times(-5) \times(-5) \times(-5) \times(-5)$
$=-3125$
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Question 581 Mark
Express the numbers appearing in the following statements in the standard form:
Diameter of the earth is 1, 27, 56,000 metres.
Answer
The distance between the earth and the moon is $3.84 \times 10^8$ metres.
Diameter of the earth is $1.2756 \times 10^7$ metres.
Since, the decimal point is moved seven places to the left
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Question 591 Mark
Express of the following numbers as a product of powers of thier prime factors:
$450$
Answer
$450=2 \times 3 \times 3 \times 5 \times 5$
$=2 \times 3^2 \times 5^2$
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Question 601 Mark
Express of the following as a rational number of the form $\frac{\text{p}}{\text{q}}$
$\Big(\frac{3}{7}\Big)^2$
Answer
$\Big(\frac{3}{7}\Big)^2=​​\frac{3\times3}{7\times7}$
$=\frac{9}{49}$
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Question 621 Mark
Write the following numbers in the expanded exponential forms:
$7805192$
Answer
We have:
$7805192=7 \times 10^6+8 \times 10^5+0 \times 10^4+5 \times 10^3+\times 10^2+9 \times 10^1+2 \times 10^0$
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Question 641 Mark
Express the following numbers in the standard form:
$846 \times 10^7$
Answer
$846 \times 10^7=8.46 \times 10^2 \times 10^7$
$=8.46 \times 10^9$
Since, the decimal point is moved two places to the left.
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Question 651 Mark
Express the following in exponential form:
$(-2) \times(-2) \times(-2) \times(-2) \times a \times a \times a$
Answer
$(-2) \times(-2) \times(-2) \times(-2) \times a \times a \times a$
$=(-2)^4 a^3$
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Question 661 Mark
Express the following in exponential form:
$(-5) \times(-5) \times(-5)$
Answer
$(-5) \times(-5) \times(-5)=(-5)^3$
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Question 671 Mark
Write the following numbers in the usual form:
$4.83 \times 10^7$
Answer
$4.83 \times 10^7=483 \times 10^{(7-2)}$
$=483 \times 10^5$
$=4,83,00,000$
Since, the decimal point is moved two places to the right.
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1 Mark Question - Page 2 - Maths STD 7 Questions - Vidyadip