Question

circle true or false.

1. $(6.1\times10^{4})cdot(3.5\times10^{7}) = 2.15\times10^{12}$

true
false

1. $(2.1\times10^{-1})cdot(4.9\times10^{-7})<10.2\times10^{-10}$

true
false

1. $(6.2\times10^{4})cdot(1.1\times10^{4}) = 6.82$

true
false

1. $(7.6\times10^{4})cdot(8.3\times10^{4})>5.6\times10^{10}$

true
false

Explanation:

1. For \((6.1\times10^{4})\cdot(3.5\times10^{7})\)

Step1: Multiply the coefficients and add the exponents

$$
LATEXBLOCK0
$$

Since \(2.135\times 10^{12}
eq2.15\times10^{12}\), the statement is false.

2. For \((2.1\times10^{-1})\cdot(4.9\times10^{-7})\)

Step1: Multiply the coefficients and add the exponents

$$
LATEXBLOCK1
$$

And \(10.2\times10^{-10}=1.02\times10^{-9}\). Since \(1.029\times10^{-7}>1.02\times10^{-9}\), the statement \((2.1\times10^{-1})\cdot(4.9\times10^{-7})<10.2\times10^{-10}\) is false.

3. For \((6.2\times10^{4})\cdot(1.1\times10^{4})\)

Step1: Multiply the coefficients and add the exponents

$$
LATEXBLOCK2
$$

Since \(6.82\times10^{8}
eq6.82\), the statement is false.

4. For \((7.6\times10^{4})\cdot(8.3\times10^{4})\)

Step1: Multiply the coefficients and add the exponents

$$
LATEXBLOCK3
$$

Since \(6.308\times10^{9}>5.6\times10^{9}\), the statement \((7.6\times10^{4})\cdot(8.3\times10^{4})>5.6\times10^{9}\) is true.

Answer:

1. False
2. False
3. False
4. True