What is 2 to the 6th power?
The correct answer is: $64$ Explanation 2 to the 6th power means multiply 2 by itself 6 times. Steps: First step: $$2^6 = 2\times2\times2\times2\times2\times2$$ Second step: $$2\times2=4,\quad 4\times2=8,\quad 8\times2=16,\quad 16\times2=32,\quad 32\times2=64$$ Final step: $$2^6 = 64$$ Therefore, 2 to the 6th power equals 64.
What is 0.625 as a fraction?
The correct answer is: $\frac{5}{8}$ Explanation To convert a decimal with three decimal places to a fraction, write it over 1000 and simplify. Steps: Write as a fraction: $$0.625=\frac{625}{1000}$$ Divide numerator and denominator by their greatest common divisor (125): $$\frac{625}{1000}=\frac{625\div125}{1000\div125}=\frac{5}{8}$$ Final simplified fraction: $$\frac{5}{8}$$ Therefore, $0.625=\frac{5}{8}$.
Express 3 divided by 2 as a fraction.
The correct answer is: $\frac{3}{2}$ Explanation You can write a division as a fraction by placing the dividend (3) over the divisor (2). Steps: Write the division as a fraction: $$3 \div 2 = \frac{3}{2}$$ Check for simplification: $$\gcd(3,2)=1$$ so the fraction is already in simplest form. (Optional) As a mixed number: $$\frac{3}{2}=1\frac{1}{2}$$ Therefore, 3 […]
What is one fourth as a decimal?
The correct answer is: $0.25$ Explanation One fourth means the fraction $\frac{1}{4}$. To convert a fraction to a decimal you can divide the numerator by the denominator or convert to hundredths. Steps: First step: $$\frac{1}{4}$$ Second step (division): $$1 \div 4 = 0.25$$ Final step (as hundredths): $$\frac{1}{4} = \frac{25}{100} = 0.25$$ Therefore, one fourth […]
What is 1/3 as a Decimal?
The correct answer is: $0.\overline{3}$ Explanation Divide 1 by 3 — 3 goes into 1 zero times with remainder 1, so you write a decimal point and bring down a zero. That gives 10 divided by 3 = 3 remainder 1; the remainder repeats, so the digit 3 repeats forever. Thus $1/3$ as a decimal […]
0.125 as a Fraction in Simplest Form
The correct answer is:$\frac{1}{8}$ Explanation To convert a decimal to a fraction, write the decimal over the appropriate power of 10 (based on the number of decimal places) and then simplify. Steps: First step: $$0.125=\frac{125}{1000}$$ Second step: Find the greatest common divisor: $\gcd(125,1000)=125$, so $$\frac{125}{1000}=\frac{125\div125}{1000\div125}$$ Final step: $$\frac{125}{1000}=\frac{1}{8}$$ Therefore, $0.125$ in simplest fractional form is […]
What is 3/16 to decimal?
The correct answer is: $0.1875$ Explanation Convert the fraction to a decimal by using the fact that $\frac{1}{16}=0.0625$, then multiply by 3. Steps: $$\frac{3}{16}=3\times\frac{1}{16}$$ $$\frac{1}{16}=0.0625$$ $$3\times0.0625=0.1875$$ Therefore, $\frac{3}{16}$ as a decimal is $0.1875$.
What is 7/8 as a Decimal?
The correct answer is: $0.875$ Explanation Convert the fraction by dividing the numerator by the denominator or by rewriting with a denominator of 1000. Steps: First step: $$7 \div 8 = 0.875$$ Second step: $$\frac{7}{8} = \frac{7\times125}{8\times125} = \frac{875}{1000}$$ Final step: $$\frac{875}{1000} = 0.875$$ Therefore, $ \frac{7}{8} = 0.875 $.
What is 4/5 as a decimal?
The correct answer is: $0.8$ Explanation Convert the fraction to a decimal by expressing it with a denominator of 10 or by dividing. $4/5$ equals four divided by five, which is less than 1, so the decimal will be between 0 and 1. Steps: Convert denominator to 10: $$\frac{4}{5}=\frac{8}{10}$$ Write as a decimal: $$\frac{8}{10}=0.8$$ Therefore, […]
How Many Zeros in a billion?
The correct answer is: 9 zeros. Explanation In the common short-scale system (used in the United States and modern British usage), one billion is written as 1,000,000,000 — which has nine zeros. In mathematical notation that is $10^9$. Steps: Write one billion in digits: 1,000,000,000. Count the zeros after the 1: there are 9. Express […]