QuestionDivide 7.7 by 700. How many decimal places does the result have? Explain using place-value reasoning.
Studdy Solution
STEP 1
Assumptions1. We are dividing7.7 by700.
. We are asked to find the number of decimal places in the quotient.
3. We are using place-value reasoning to explain our answer.
STEP 2
First, let's understand what place-value reasoning means. In a decimal number, each digit has a place value. The place value of a digit depends on its position in the number. For example, in the number7.7, the first7 is in the ones place and the second7 is in the tenths place.
STEP 3
When we divide a number by10,100,1000, etc., the decimal point moves to the left by the number of zeros in the divisor. This is because we are essentially dividing each digit in the dividend by the divisor.
STEP 4
In our problem, we are dividing7.7 by700. The number700 has two zeros, so when we divide, the decimal point in7.7 will move two places to the left.
STEP 5
Before the division, the number7.7 has one digit after the decimal point. After moving the decimal point two places to the left, the number will have three digits after the decimal point.
STEP 6
Therefore, the quotient will have three decimal places.
The quotient of. divided by700 will have three decimal places.
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