Petra is regrouping decimal numbers She spills ink on her work. What number is under each ink blot? a $$ 0.546=0.4+ $$ b $$ 0.789=0.7+0.07+ $$

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To find the numbers under each ink blot, we need to break down the given decimal numbers into their components.

### Part a: $$ 0.546 = 0.4 + ? $$

1. Start with the equation:
   $$
   0.546 = 0.4 + x
   $$
2. To find $$ x $$, subtract $$ 0.4 $$ from $$ 0.546 $$:
   $$
   x = 0.546 - 0.4
   $$
3. Perform the calculation:
   $$
   x = 0.146
   $$

So, the number under the ink blot in part a is $$ 0.146 $$.

### Part b: $$ 0.789 = 0.7 + 0.07 + ? $$

1. Start with the equation:
   $$
   0.789 = 0.7 + 0.07 + y
   $$
2. First, calculate $$ 0.7 + 0.07 $$:
   $$
   0.7 + 0.07 = 0.77
   $$
3. Now, substitute this back into the equation:
   $$
   0.789 = 0.77 + y
   $$
4. To find $$ y $$, subtract $$ 0.77 $$ from $$ 0.789 $$:
   $$
   y = 0.789 - 0.77
   $$
5. Perform the calculation:
   $$
   y = 0.019
   $$

So, the number under the ink blot in part b is $$ 0.019 $$.

### Summary of Results:
- a: $$ 0.146 $$
- b: $$ 0.019 $$
Under the ink blots: - a: $$ 0.146 $$ - b: $$ 0.019 $$

Petra is regrouping decimal numbers She spills ink on her work. What number is under each ink blot? a \( 0.546=0.4+ \) b \( 0.789=0.7+0.07+ \)

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