Tag: numbers and place value

Quizzes (9) Questions (85)

Questions Related to numbers and place value

Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

The sum of the powers of the prime factors in $108 \times 192$  is

  1. $5$
  2. $7$
  3. $8$
  4. $12$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\displaystyle 108=2\times 2\times  3\times 3\times 3=2^{2}\times 3^{3}$
$\displaystyle 192=2\times2\times2\times2\times2\times2\times3$
$\displaystyle =2^{6}\times 3^{1}$
$\displaystyle 108 \times 192=2^{2}\times 3^{3}\times 2^{6}\times 3^{1}$
$\displaystyle =2^{8}\times 3^{4}$
Sum of the powers = 8 + 4 = 12

Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

Charge of an electron is $0.00000000000000000016$ coulomb. This number can also be written in standard form as:

  1. $\displaystyle 1\cdot 6\times 10^{19}$
  2. $\displaystyle 1\cdot 6\times 10^{-20}$
  3. $\displaystyle 1\cdot 6\times 10^{-19}$
  4. $\displaystyle 1\cdot 6\times 10^{18}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$0.0000000000000000000016=\displaystyle \frac{16}{100000000000000000000}$


=$\displaystyle \frac{1\cdot 6\times 10^{1}}{10^{20}}$

=$\displaystyle 1\cdot 6\times 10^{-19}$

Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

Simplify $\displaystyle (27)^{\frac{-2}{3}} \div \displaystyle (64)^{\frac{-2}{3}}$ is---

  1. $\displaystyle \frac{9}{16}$

  2. 16
  3. $\displaystyle \frac{16}{9}$

  4. 9
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle \frac{(27)^{-2/3}}{ ( 64)^{-2/3}} = \frac{\displaystyle \frac{1}{9}}{ \displaystyle \frac{14}{16}} = \frac{16}{9}$

Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

Which of the following statement is false?

  1. $\displaystyle 4\cdot 59\times 10^{-3}=0.00459$
  2. $\displaystyle 7\times 10^{-5}=0.00007$
  3. $\displaystyle 1\cdot 03\times 10^{-3}=1030$
  4. $\displaystyle 8\cdot 8\times 10^{-4}=0.00088$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle 1\cdot 03\times 10^{-3}= 0\cdot 00103$
$\displaystyle \therefore $ The given statement is false