Fill in the table with whole numbers to make 10.74 in two different ways.
Tens Ones . Tenths Hundredths
0 10 . 7 4
0 10 . 6 ?
First number = tens
Second number = ones
Third number = tenths
Fourth number = Hundredths
1 way:
0 ∙ 10 + 10 ∙ 1 + 7 / 10 + 4 / 100 = 0 + 10 + 0.7 + 0.04 = 10.74
Second way:
0 10 6 x
You must find x.
0 ∙ 10 + 10 ∙ 1 + 6 / 10 + x / 100 = 10.74
0 + 10 + 0.6 + x / 100 = 10.74
10.6 + x / 100 = 10.74
Subtract 10.6 to both sides
x / 100 = 0.14
x = 100 ∙ 0.14
x = 14
Check result.
0 ∙ 10 + 10 ∙ 1 + 6 / 10 + 14 / 100 = 10.74
0 + 10 + 0.6 + 0.14 = 10.74
10.63
To make 10.74 in two different ways using whole numbers, we need to find a combination of tens, ones, tenths, and hundredths that sums up to 10.74.
In the first row of the table, we have:
Tens: 0
Ones: 10
Tenths: 7
Hundredths: 4
To calculate this value, we have:
0 * 10 = 0
10 * 1 = 10
7 * 0.1 = 0.7
4 * 0.01 = 0.04
Adding these values together, we get 0 + 10 + 0.7 + 0.04 = 10.74.
Now, to find a different combination in the second row, we have:
Tens: 0
Ones: 10
Tenths: 6
Hundredths: ?
Following the same calculation as before, we have:
0 * 10 = 0
10 * 1 = 10
6 * 0.1 = 0.6
? * 0.01 = 0
To find the unknown in the hundredths place, we subtract the sum of the other three values from 10.74:
10.74 - 0 - 10 - 0.6 = 0.14
Therefore, the second row should be:
Tens: 0
Ones: 10
Tenths: 6
Hundredths: 14
To fill in the table with whole numbers to make 10.74 in two different ways, we need to find two different sets of numbers that make up 10.74 when combined.
Let's start with the given set of numbers:
Tens: 0
Ones: 10
. (Decimal point)
Tenths: 6
To make 10.74, we need to find the missing value for the hundredths place. We can do this by subtracting the sum of the given values from 10.74:
10.74 - (0 + 10 + 0.6) = 0.14
So, the missing value in the first row is 0.14.
Now, let's find the second set of numbers that make up 10.74:
Tens: 0
Ones: 10
. (Decimal point)
Tenths: 6
Again, we need to find the missing value for the hundredths place:
10.74 - (0 + 10 + 0.6) = 0.14
Therefore, the missing value in the second row is also 0.14.
So, to fill in the table to make 10.74 in two different ways, you can write:
Tens | Ones | . | Tenths | Hundredths
0 | 10 | . | 6 | 14
0 | 10 | . | 6 | 14
Note: The two different ways are obtained by using the same set of numbers with the same missing value.