Answer
7.70 and 7.700
Explanation Equivalent decimals are decimals numbers that are equals. The number of decimal places does not make the decimals not to be equivalent.
Decimal number is a fraction whose denominator is 10 or a power of 10.
7.7=77/10=770/100=7700/1000
7.7 = 7.70 = 7.700
The two decimals that are equivalent to 7.7 are:
7.70 and ** 7.700**
The correct answer is 7.70 and 7.700.
To understand why these decimals are equivalent to 7.7, one must recognize the concept of place value in decimal numbers. In the decimal number 7.7, the digit 7 before the decimal point represents 7 units (or 7 ones), and the digit 7 after the decimal point represents 7 tenths, since it is in the tenths place.
Adding zeros to the right of the last non-zero digit in the decimal part of a number does not change its value. This is because the additional zeros represent smaller and smaller place values (hundredths, thousandths, etc.), which do not contribute to the overall value of the number. Therefore, 7.7 is the same as 7.70, which is the same as 7.700, and so on. In each case, the value represented is 7 and 7/10, or 7.7 when expressed as a decimal.
Two decimals that are equivalent to 7.7 are 7.70 and 7.700. Equivalent decimals maintain the same value regardless of the number of decimal places. Adding zeros to the end of a decimal does not change its value.
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