Question

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 ?

Answer 1

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

Answer 2

10.63