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6th Grade Daily Spiral

1. [tex]1.64 \times 2.2[/tex]

Answer :

Sure, let's solve the problem step-by-step.

We need to calculate [tex]\(1.64 \times 2.2\)[/tex].

Step 1: Write the numbers down.
[tex]\[ 1.64 \][/tex]
[tex]\[ \times 2.2 \][/tex]

Step 2: Ignore the decimal points for a moment and imagine we are multiplying 164 by 22.

Step 3: Do the multiplication as if they were whole numbers.

[tex]\[ 164 \times 22 = 164 \times (20 + 2) \][/tex]
[tex]\[ = 164 \times 20 + 164 \times 2 \][/tex]

Step 4: Multiply each part separately.

[tex]\[ 164 \times 20 \][/tex]
[tex]\[ 164 \times 2 \][/tex]

Multiply 164 by 20:
[tex]\[ 164 \times 20 = 164 \times (2 \times 10) = 164 \times 2 \times 10 = 328 \times 10 = 3280 \][/tex]

Multiply 164 by 2:
[tex]\[ 164 \times 2 = 328 \][/tex]

Now, add these two results together:
[tex]\[ 3280 + 328 = 3608 \][/tex]

Step 5: Consider the decimal places.

Since [tex]\(1.64\)[/tex] has two decimal places and [tex]\(2.2\)[/tex] has one decimal place, the total decimal places in the result should be three.

Therefore, place the decimal point three places from the right in the number [tex]\(3608\)[/tex].

Step 6: Place the decimal in the result.
[tex]\[ 3608 \rightarrow 3.608 \][/tex]

The final answer is:
[tex]\[ 1.64 \times 2.2 = 3.608 \][/tex]

So, the result of [tex]\(1.64 \times 2.2\)[/tex] is [tex]\(3.608\)[/tex].

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