Fill in the table with whole numbers to make 10.74 in two different ways.
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Given:
Fill in the table with whole numbers to make 10.74
To find:
Two different ways
Solution:
Tens ones . Tenths Hundredths
0 10 7 4
0 10 6 x
0 × 10 + 10 × 1 + 7/10 + 4/100
= 0 + 10 + 0.7 + 0.04
= 10.74
0 × 10 + 10 × 1 + 6/10 + x/100 = 10.74
⇒ 0 + 10 + 0.6 + x/100 = 10.74
⇒ 10.6 + x/100 = 10.74
⇒ x/100 = 10.74 - 10.6
⇒ x/100 = 0.14
⇒ x = 100 (0.14)
⇒ x = 14
Tens ones . Tenths Hundredths
0 10 6 14
1 0 7 4
1 0 6 14
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