How Many Zeros in a billion?

Q: 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 as a power of ten: $$10^9$$. Note: In the long-scale system (formerly used in the UK and still in some countries), a "billion" can mean $10^{12}$ (1,000,000,000,000) which has 12 zeros. To avoid confusion, many authors use powers of ten ($10^9$ vs $10^{12}$) or the word "thousand million" for $10^9$.

Q: What is 125% as a fraction?

The correct answer is: $\frac{5}{4}$ Explanation Percent means "per hundred", so convert 125% to a fraction by writing it over 100 and simplifying. Steps: First step: $$\frac{125}{100}$$ Second step (simplify by dividing numerator and denominator by 25): $$\frac{125\div25}{100\div25}=\frac{5}{4}$$ Final step (mixed number form): $$1\frac{1}{4}$$ Therefore, 125% = $\frac{5}{4}$ (which is also $1\frac{1}{4}$).

Q: Express 0.4375 as a fraction in the simplest form.

The correct answer is: $\frac{7}{16}$ Explanation We convert the decimal to a fraction and simplify. Steps: First write 0.4375 as a fraction with denominator 10000: $$0.4375=\frac{4375}{10000}$$ Divide numerator and denominator by their common factor 125: $$\frac{4375}{10000}=\frac{4375\div125}{10000\div125}=\frac{35}{80}$$ Reduce further by dividing both by 5: $$\frac{35}{80}=\frac{35\div5}{80\div5}=\frac{7}{16}$$ Therefore, 0.4375 in simplest fractional form is $\frac{7}{16}$.

Q: Write 3/4 divided by 2 in the fraction.

The correct answer is: $\frac{3}{8}$ Explanation You divide by 2 by multiplying by its reciprocal (which is $\frac{1}{2}$). Then multiply numerators and denominators and simplify if possible. Steps: Write division as multiplication by the reciprocal: $$\frac{3}{4}\div2=\frac{3}{4}\times\frac{1}{2}$$ Multiply numerators and denominators: $$\frac{3\times1}{4\times2}=\frac{3}{8}$$ The fraction is already in simplest form: $$\frac{3}{8}$$ Therefore, $\frac{3}{4}$ divided by $2$ equals $\frac{3}{8}$.

Q: What is 0.875 as a fraction?

The correct answer is: $\frac{7}{8}$ Explanation We convert the decimal to a fraction by writing it over a power of 10 and then simplifying. Steps: Write the decimal as a fraction: $0.875=\frac{875}{1000}$ Divide numerator and denominator by their greatest common divisor $125$: $$\frac{875}{1000}=\frac{875\div125}{1000\div125}=\frac{7}{8}$$ Final simplified fraction: $\frac{7}{8}$ Therefore, $0.875=\frac{7}{8}$.

Q: What is 7/16 as a decimal?

The correct answer is: $0.4375$ Explanation We convert the fraction $\frac{7}{16}$ to a decimal by making the denominator a power of 10. Steps: Multiply numerator and denominator by 625 to get denominator $10000$: $$\frac{7}{16}=\frac{7\times625}{16\times625}=\frac{4375}{10000}$$ Write the fraction with denominator $10000$ as a decimal: $$\frac{4375}{10000}=0.4375$$ (Check) Long division $7\div16=0.4375$ gives the same result. Therefore, $\frac{7}{16}=0.4375$.

Answer

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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 as a power of ten: $$10^9$$.

Note: In the long-scale system (formerly used in the UK and still in some countries), a “billion” can mean $10^{12}$ (1,000,000,000,000) which has 12 zeros. To avoid confusion, many authors use powers of ten ($10^9$ vs $10^{12}$) or the word “thousand million” for $10^9$.

What is 125% as a fraction?

Express 0.4375 as a fraction in the simplest form.

Write 3/4 divided by 2 in the fraction.

What is 0.875 as a fraction?

What is 7/16 as a decimal?

What is 1/2 as a decimal?

Define 1 : 1 ratio.

How to express 2 to the power of 5?