3 How times bigger many is the value of digit 6 in 64.53 in the value of the digit 6 in 0.367?
Answers
Answer:
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tens ones
6,702 = 6 thousands and 7 hundreds and 0 tens and 2 ones
= 6 × 1000 + 7 × 100 + 0 × 10 + 2 × 1
= 6000 + 700 + 2.
Above, we have written the number 6,702 in expanded form, or as a SUM of its different parts according to place value.
The digit 6 in the number 6,702 actually has the value 6,000 and the digit 7 actually signifies the value 700. This is why our number system is also called a place value system, because the value of a digit (like 6 or 7 in our example) depends on its placement within the number. In other words, the digit 6 in 6702 does not mean six but six thousand, because the six is placed in the thousands' place. The place of a digit determines its value.
The comma between thousands and hundreds is added as a separator for easier reading. In some countries an empty space is used instead: 6,702 is written as 6 702.
The value 6 in 0.367 is 59.94 times bigger than the value of 6 in 64.53
Given:
64.53 and 0.367
To find:
How many times bigger is the value of digit 6 in 64.53 in the value of the digit 6 in 0.367
Solution:
Given numbers are 64.53 and 0.367
To compare the values of 6 in each number we need to find place values of 6 in both numbers
Place value of 6 in 64.53 = 6 × 10
= 60 [ since 6 is in tens place ]
Place value of 6 in 0.367 = 6 × 0.01
= 0.06 [ since 6 is in hundredth place ]
The difference between both values = 60 - 0.06 = 59.94
Therefore,
The value 6 in 0.367 is 59.94 times bigger than the value of 6 in 64.53
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