QuestionChoose the correct expanded form of 4.012: (A) $4+0.1+0.02$ (B) $4+0.1+0.002$ (C) $4+0.01+0.02$ (D) $4+0.01+0.002$

Studdy Solution

STEP 1

Assumptions1. The number to be expanded is4.012. The expanded form of a decimal number is the sum of each digit multiplied by its place value.

STEP 2

To write a decimal number in expanded form, we need to express each digit in terms of its place value. For the number4.012, the place values are-4 is in the ones place-0 is in the tenths place-1 is in the hundredths place-2 is in the thousandths placeSo, the expanded form of4.012 is $4 +0.0 +0.01 +0.002$

STEP 3

Now, we need to compare our expanded form with the provided options to find the correct one.
(A) $+0.1+0.02$ (B) $+0.1+0.002$ (C) $+0.01+0.02$ (D) $+0.01+0.002$

STEP 4

Comparing our expanded form with the options, we can see that option () matches our expanded form.
So, the expression that shows4.012 in expanded form is () $4+0.01+0.002$ .

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