Math

QuestionCompare the values of the underlined digits:
1. In 6,3006,300, the value of 3 is ____ times the value of 3 in 530530.
2. In 34,25834,258, the value of 4 is ____ times the value of 4 in 47,16347,163.

Studdy Solution

STEP 1

Assumptions1. The underlined digit in the first number is3 and it's in the hundreds place, so its value is 300300. . The underlined digit in the second number is also3 but it's in the tens place, so its value is 3030.
3. The underlined digit in the third number is4 and it's in the thousands place, so its value is 40004000.
4. The underlined digit in the fourth number is also4 but it's in the ten thousands place, so its value is 4000040000.

STEP 2

First, we need to find the ratio of the values of the underlined digits in the first pair of numbers. We can do this by dividing the value of the underlined digit in the first number by the value of the underlined digit in the second number.
Ratio=Valueofunderlineddigitinfirstnumber/ValueofunderlineddigitinsecondnumberRatio = Value\, of\, underlined\, digit\, in\, first\, number / Value\, of\, underlined\, digit\, in\, second\, number

STEP 3

Now, plug in the given values for the underlined digits in the first pair of numbers to calculate the ratio.
Ratio=300/30Ratio =300 /30

STEP 4

Calculate the ratio.
Ratio=300/30=10Ratio =300 /30 =10The value of3 in 6,3006,300 is10 times the value of3 in 530530.

STEP 5

Next, we need to find the ratio of the values of the underlined digits in the second pair of numbers. We can do this by dividing the value of the underlined digit in the third number by the value of the underlined digit in the fourth number.
Ratio=Valueofunderlineddigitinthirdnumber/ValueofunderlineddigitinfourthnumberRatio = Value\, of\, underlined\, digit\, in\, third\, number / Value\, of\, underlined\, digit\, in\, fourth\, number

STEP 6

Now, plug in the given values for the underlined digits in the second pair of numbers to calculate the ratio.
Ratio=4000/40000Ratio =4000 /40000

STEP 7

Calculate the ratio.
Ratio=4000/40000=0.1Ratio =4000 /40000 =0.1The value of4 in 34,25834,258 is0.1 times the value of4 in 47,16347,163.

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