The numbers you've listed are different representations of the same value, which is \( 4.6 \times 10^9 \). Here’s what each representation means:
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\( 4.6 \times 10^9 \): This is scientific notation, which is often used to represent very large or very small numbers concisely. It means \( 4.6 \) multiplied by \( 10 \) raised to the power of \( 9 \), or \( 4.6 \) billion.
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\( 0.0000000046 \): This is in decimal form but represents a small number and is not equivalent to \( 4.6 \times 10^9 \). Instead, it equals \( 4.6 \times 10^{-9} \).
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\( 46,000,000,000 \): This is the standard form of the number, which is equal to \( 4.6 \times 10^{10} \), so it is actually equivalent to \( 10 \) times your original value.
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\( 4.6000000000 \): This is another representation of \( 4.6 \) but without the exponential notation. It does not indicate the scale but represents the numeric value \( 4.6 \).
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\( 4,600,000,000 \): This is the same as \( 4.6 \times 10^9 \), which is also \( 4.6 \) billion.
Summary:
- \( 4.6 \times 10^9 \) and \( 4,600,000,000 \) are the correct representations of the same value.
- \( 0.0000000046 \) is not equivalent.
- \( 46,000,000,000 \) is one order greater than \( 4.6 \times 10^9 \).
- \( 4.6000000000 \) is simply a different format of \( 4.6 \) but does not have the same magnitude.
1 answer