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Math

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PROBLEM

Convert the following numbers to integers or decimals: 1) 2.9×1052.9 \times 10^{5}, 2) 56×10456 \times 10^{-4}, 3) 0.274×1080.274 \times 10^{8}, 4) 0.00338×1030.00338 \times 10^{-3}.

STEP 1

Assumptions1. We are given four numbers in scientific notation.
. We need to convert these numbers into an integer or a decimal without using a calculator.

STEP 2

The first number is 2.9×1052.9 \times10^{5}. To convert this to an integer or decimal, we need to move the decimal point5 places to the right, as indicated by the exponent of10.
2.9×105=2900002.9 \times10^{5} =290000

STEP 3

The second number is 56×1056 \times10^{-}. To convert this to an integer or decimal, we need to move the decimal point places to the left, as indicated by the negative exponent of10.
56×10=0.005656 \times10^{-} =0.0056

STEP 4

The third number is 0.274×1080.274 \times10^{8}. To convert this to an integer or decimal, we need to move the decimal point8 places to the right, as indicated by the exponent of10.
0.274×108=274000000.274 \times10^{8} =27400000

SOLUTION

The fourth number is 0.00338×1030.00338 \times10^{-3}. To convert this to an integer or decimal, we need to move the decimal point3 places to the left, as indicated by the negative exponent of10.
0.00338×103=0.000003380.00338 \times10^{-3} =0.00000338So, the four numbers in integer or decimal form are290000,0.005,27400000, and0.00000338.

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